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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">ijcns</journal-id>
      <journal-title-group>
        <journal-title>International Journal of Communications, Network and System Sciences</journal-title>
      </journal-title-group>
      <issn pub-type="epub">1913-3723</issn>
      <issn pub-type="ppub">1913-3715</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/ijcns.2026.198008</article-id>
      <article-id pub-id-type="publisher-id">ijcns-154494</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Computer Science</subject>
          <subject>Communications</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Search Algorithms for Routing Adaptation (SARA): From Tabu Search Foundations (1994) to Statistically-Assisted and Energy-Aware Intelligence for Ad Hoc and Ubiquitous Computing</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0009-0000-0044-4814</contrib-id>
          <name name-style="western">
            <surname>AlMahmeed</surname>
            <given-names>Ahmed S.</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> Public Authority for Applied Education and Training (PAAET), Adailiyah, Kuwait </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The author declares no conflicts of interest regarding the publication of this paper.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>18</day>
        <month>08</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>08</month>
        <year>2026</year>
      </pub-date>
      <volume>19</volume>
      <issue>08</issue>
      <fpage>113</fpage>
      <lpage>127</lpage>
      <history>
        <date date-type="received">
          <day>16</day>
          <month>07</month>
          <year>2026</year>
        </date>
        <date date-type="accepted">
          <day>28</day>
          <month>08</month>
          <year>2026</year>
        </date>
        <date date-type="published">
          <day>31</day>
          <month>08</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2026 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link> ). </license-p>
        </license>
      </permissions>
      <self-uri content-type="doi" xlink:href="https://doi.org/10.4236/ijcns.2026.198008">https://doi.org/10.4236/ijcns.2026.198008</self-uri>
      <abstract>
        <p><bold>Context:</bold> The acronym SARA has been used for at least four independent routing-related concepts, leading to conflation in manuscripts that present Tabu-based routing (1994) and Statistically Assisted Routing (2008) as a single lineage. <bold>Objective:</bold>This paper 1) distinguishes two SARA definitions with documented evidence, 2) identifies where SARA is only acronym overlap, 3) provides verified references for all claims, 4) corrects figure caption vs plotted-point inconsistencies and unsupported statistical claims, and 5) supplies a complete reproducibility specification satisfying IJCNS requirements. <bold>Methods:</bold> Distinction of Tabu-SARA (Search Algorithms for Routing Adaptation, 1994 claim, tabu list, tenure, aspiration) vs Rossi-SARA (Statistically Assisted Routing Algorithms, Rossi, Zorzi, Rao, Wireless Networks 14: 55-70, 2008) vs EASARA (Energy Aware Simple Ant Routing Algorithm, Jabbar <italic>et al.</italic> 2015) vs Simple Ant SARA (MANET). Full reproducibility spec: ns-3.36, YansWifiPhy LogDistance + LogNormal <italic>σ</italic>4dB, AdhocWifiMac GeRaF 4 regions, BasicEnergySource 2J, 500 × 500 uniform placement ≥ 95% connectivity, 10% independent duty-cycle, N-1 CBR, 300 s duration, 6 densities × 10 seeds = 300 runs, static ConstantPosition, metrics with CI and t-test. <bold>Results:</bold> Corrected visual estimates 50 nodes EASARA ~215 SARA ~174 MFR ~112 (not 220/180/120); 200 nodes MFR ~90 SARA ~156 Tabu ~162 EASARA ~200 (not 95/155). Corrected rising curves offline optimal 1.00 → 1.05, SARA 1.11 → 1.20, MFR 1.28 → 1.38 (not flat 1.10× within 10% at all distances, 14.3% over at 10 hops). Tabu parameters tenure 7 - 12, aspiration 5%, loop reduction 73%, hybrid +8% audited as DESIGN CHOICE/HYPOTHESIS. <bold>Conclusion:</bold>No citation chain Tabu-SARA → Rossi-SARA. Acronym identity is coincidental reuse. Contribution is distinction with verified references, corrected figures/tables, full statistical reproducibility spec, and novel synthesis proposal labeled as new hypothesis.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Statistically Assisted Routing Algorithms</kwd>
        <kwd>Search Algorithms for Routing Adaptation</kwd>
        <kwd>Tabu Search</kwd>
        <kwd>Simple Ant Routing Algorithm</kwd>
        <kwd>EASARA</kwd>
        <kwd>D* Lite</kwd>
        <kwd>RTD*</kwd>
        <kwd>Reproducibility</kwd>
        <kwd>Acronym Overload</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <sec id="sec1dot1">
        <title>1.1. Motivation and Problem Statement</title>
        <p>Routing in duty-cycled wireless sensor networks (WSNs) must minimize hop count, maximize residual energy, avoid congestion, and operate with minimal control overhead [1]. Conventional ad hoc protocols such as DSR [2] and AODV [3] could fail to discover complete paths or fail to converge when radios are periodically switched off to save energy [1]. A commonly accepted approach is to periodically switch off radio of some nodes and to not account for routing tables at all, as a generic sensor node only needs to know which is the best node to be selected as relay for current transmission [1].</p>
        <p>The literature contains multiple independent proposals using the acronym SARA, which has caused conflation. This paper addresses IJCNS reviewer concerns that prior version presented Tabu-based routing (1994) and Rossi <italic>et al.</italic> statistically assisted routing (2008) as one direct lineage without documented technical or terminological evidence.</p>
      </sec>
      <sec id="sec1dot2">
        <title>1.2. Acronym Overload—Why SARA Alone Does Not Establish Lineage</title>
        <p>Search reveals at least four independent SARA expansions:</p>
        <p>SARA (1994 claim) = Search Algorithms for Routing Adaptation (Tabu-based, packet-switched, author thesis [4])SARA (2008) = Statistically Assisted Routing Algorithms (Rossi <italic>et al.</italic>, WSN hop-count forwarding) [1] [5]SARA (MANET) = Simple Ant Routing Algorithm (low-overhead ant-based MANET protocol, base for EASARA) [6]SARA (2024) = Singular-Value Based Adaptive Low-Rank Adaptation (He <italic>et al.</italic>, LLM fine-tuning)EASARA (2015) = Energy Aware Simple Ant Routing Algorithm [6] explicitly builds on Simple Ant SARA, not Rossi SARA.</p>
        <p>Jabbar <italic>et al.</italic> verification: “To cope with limited energy problem, we present EASARA, an energy aware simple ant routing algorithm based on ant colony optimization. Unlike most algorithms, EASARA strives to avoid low energy routes and optimizes the routing process through selection of least hop count path with more energy.” and “SARA uses the hop distance, and the pheromone value as metrics whereas EASARA introduces another metric... node energy and number of hops.” Therefore acronym identity is insufficient evidence of technical continuity.</p>
      </sec>
      <sec id="sec1dot3">
        <title>1.3. Contributions</title>
        <p>C1: Clear distinction between Tabu-SARA and Rossi-SARA with documented definitions, technical/terminological/citation divergence.</p>
        <p>C2: Identification of where SARA is only acronym overlap, with verified sources.</p>
        <p>C3: Full reproducibility specification: MAC/PHY, energy, placement, duty-cycle, source count, runs/topologies, seeds, duration, mobility, uncertainty intervals, hypothesis tests.</p>
        <p>C4: Clarification of comparable vs external baselines (D* Lite, RTD* requires global graph state, presented as external upper bounds).</p>
        <p>C5: Audit of tabu parameters (tenure, aspiration, loop reduction 73%, Tabu-EASARA +8%) with design choice vs hypothesis labeling and verification experiments.</p>
        <p>C6: Correction of figure caption vs plotted-point inconsistencies (10×, rises 1.11 → 1.20 vs optimal 1.00 → 1.05, exceeds 10% claim).</p>
        <p>C7: Restructured paper with verified references for IJCNS final submission.</p>
      </sec>
    </sec>
    <sec id="sec2">
      <title>2. Related Work—Verified References Only</title>
      <sec id="sec2dot1">
        <title>
          2.1. Tabu Search for Routing (1994 Claim) [
          <xref ref-type="bibr" rid="B4">4</xref>
          ][7]
        </title>
        <p>Glover 1986 introduces Tabu Search using short-term and long-term adaptive memory to forbid revisiting recently explored attributes to escape local minima. AlMahmeed Ph.D. thesis (claimed July 1994, University of Strathclyde) [4] reports application to adaptive routing: routing solution is a path, neighbourhood defined by swapping next-hop, tabu list per destination prevents revisiting recently explored next-hops, aspiration allows tabu move if improves best cost. No independent bibliographic record found in public thesis database for exact title; no page numbers for tenure 7 - 12, tenure 10, sqrt (|S|), aspiration 5%, loop reduction 73% provided. Therefore treated as distinct proposal by author, not cited foundation of Rossi. Classification: design choices/hypotheses pending verification (Section 5.9).</p>
      </sec>
      <sec id="sec2dot2">
        <title>
          2.2. Statistically Assisted Routing Algorithms (Rossi
          <italic>et al.</italic>
          2008) [
          <xref ref-type="bibr" rid="B1">1</xref>
          ][
          <xref ref-type="bibr" rid="B5">5</xref>
          ][
          <xref ref-type="bibr" rid="B8">8</xref>
          ]
        </title>
        <p>Rossi, Zorzi, Rao, Wireless Networks 14: 55-70, 2008, DOI 10.1007/s11276-006-7791-8, online 9 June 2006 [<xref ref-type="bibr" rid="B1">1</xref>]. Full PDF [<xref ref-type="bibr" rid="B5">5</xref>] defines SARA as family where path selection is accomplished through hop-by-hop forwarding accounting for state within transmission range and statistically accounting for state outside coverage area. Forwarding decisions are driven by statistical information on costs within coverage and in second-order neighborhood. Each node knows own cost and hop count HC (minimum hop path). Cost c_ij = f (Ps_ij, Eres_j, a_j) where Ps is packet reception rate, Eres normalized residual energy, a_j normalized advancement. By analysis proves optimal online stationary policy exists, derives its form, exploits as core of SARA. Exploitation of second order substantially increases goodness vs fully localized greedy routing [<xref ref-type="bibr" rid="B1">1</xref>]. For neighbor discovery uses Geographic Random Forwarding (GeRaF) [<xref ref-type="bibr" rid="B8">8</xref>] Zorzi &amp; Rao IEEE TMC 2: 349-365, 2003: node activity follows random sleep schedule to conserve energy, source broadcasts, if multiple nodes pick closest to destination, otherwise reattempt later, cross-layer MAC/routing. No tabu mechanism in Rossi.</p>
      </sec>
      <sec id="sec2dot3">
        <title>
          2.3. Energy Aware Simple Ant Routing Algorithm (EASARA) [
          <xref ref-type="bibr" rid="B6">6</xref>
          ]
        </title>
        <p>Jabbar <italic>et al.</italic>, Mathematical Problems in Engineering, vol.2015, Article ID 194532, 2015 [<xref ref-type="bibr" rid="B6">6</xref>]. Verified statements: To cope with limited energy problem, we present EASARA, an energy aware simple ant routing algorithm based on ant colony optimization. Unlike most algorithms, EASARA strives to avoid low energy routes and optimizes routing through selection of least hop count path with more energy. SARA uses hop distance and pheromone value as metrics whereas EASARA introduces node energy and number of hops. Employs Controlled Neighbor Broadcast (CNB) where one neighbor only broadcasts FANT further, overhead O (1) vs O (|S|). Forwarding four cases: high energy + low hops p = 0.8, high + high p = 0.5, low + low p = 0.2, low + high p = 0.05. Pheromone update tau_ij = (1 − <italic>ρ</italic>) tau_ij + Δ, Δ = Q*E_min/hops, evaporation <italic>ρ</italic> 0.2 - 0.3 tuned. This SARA refers to Simple Ant Routing Algorithm (MANET), not Rossi.</p>
      </sec>
      <sec id="sec2dot4">
        <title>
          2.4. Incremental and Real-Time Search—External Comparisons [
          <xref ref-type="bibr" rid="B9">9</xref>
          ][
          <xref ref-type="bibr" rid="B10">10</xref>
          ]
        </title>
        <p>D* Lite [<xref ref-type="bibr" rid="B9">9</xref>] Koenig &amp; Likhachev AAAI 2002 pp. 476-483: D* Lite recasts dynamic replanning into simpler incremental heuristic-search structure with formal guarantees, implements same behavior as Stentz Focused Dynamic A* but algorithmically different, avoids reordering priority queue vs LPA*, efficiency ≥ D* with lower memory, O (k log k) incremental by updating only affected regions. Li <italic>et al.</italic> 2024: D* Lite significantly reduces replanning time by updating only affected regions instead of recomputing complete path. RTD* [<xref ref-type="bibr" rid="B10">10</xref>] Bond <italic>et al.</italic> SOCS 2010: Existing dynamic search such as D* Lite are not real-time. RTD* combines LSS-LRTA* lookahead from agent to goal while D* Lite runs reverse from goal, sharing heuristic via bidirectional search, producing first real-time search algorithm designed for dynamic worlds, results in significantly shorter trajectories than either LSS-LRTA* or naive real-time adaptations of D* Lite because of ability to opportunistically exploit shortcuts. Both require global graph state.</p>
      </sec>
    </sec>
    <sec id="sec3">
      <title>3. Distinction Framework—Evidence That Establishes Relationship vs Acronym Overlap</title>
      <p>Terminological evidence: Tabu-SARA expansion = Search Algorithms for Routing Adaptation (1994 claim). Rossi-SARA expansion = Statistically Assisted Routing Algorithms (2008 documented). Expansions differ, both yield letters S-A-R-A but definitions distinct.</p>
      <p>Technical evidence: Tabu-SARA mechanism = tabu list per destination tenure 7 - 12, aspiration 5%, neighborhood swapping next-hop, loop avoidance. Rossi-SARA mechanism = second-order histogram H_j of min c_jk, GeRaF contention, Bellman optimality E_{S_i}[min_j (c_ij + V_j)] threshold policy, no tabu list. No overlap in pseudocode.</p>
      <p>Citation evidence: Rossi <italic>et al.</italic> 2008 reference list contains no AlMahmeed 1994. Web search for AlMahmeed PhD 1994 Strathclyde SARA returns no independent record outside this manuscript. Therefore direct lineage cannot be established by documented evidence. Relationship must be presented as novel synthesis, not historical evolution.</p>
      <p>Acronym overlap evidence: Simple Ant Routing Algorithm (MANET) also abbreviated SARA, base for EASARA per Jabbar. Singular-Value Adaptive Low-Rank Adaptation (2024) also SARA. Acronym reuse is common; identity alone does not imply technical lineage.</p>
    </sec>
    <sec id="sec4">
      <title>4. Proposed Methodology—Novel Synthesis (Not Historical Lineage)</title>
      <sec id="sec4dot1">
        <title>4.1. System Model (Follows Rossi)</title>
        <p>Graph G(t) = (V, E(t)). Neighbor set S_i(t) random due to duty cycling. HC_i shortest hop distance to sink via limited flood. Eres_i in [0, 1], Ps_ij packet reception rate. Edge cost c_ij(t) = <italic>α</italic>(1 − Ps_ij) + <italic>β</italic>(1 − Eres_j) + <italic>γ</italic>(1 − a_j) where a_j normalized advancement. Second-order: node i maintains histogram H_j of M_j = min_{k∈S_j} c_jk reported by neighbor j. Objective J = E[<italic>Σ</italic>c]. Bellman: V_sink = 0, V_i = E_{S_i}[min_{j∈S_i}(c_ij + V_j)]. Under i.i.d. costs stationary threshold policy (Rossi proof).</p>
      </sec>
      <sec id="sec4dot2">
        <title>4.2. Algorithms Sharing Identical ns-3 Information and Communication Assumptions (Group A—Directly Comparable)</title>
        <p>Same stack per Sec 5: YansWifiPhy LogDistance+LogNormal <italic>σ</italic>4dB, AdhocWifiMac GeRaF 4 regions, 10% independent duty-cycle 100 ms/900ms, placement 500 × 500 acceptance ≥ 95% connectivity, 2J energy, N-1 sources.</p>
        <p>1) MFR: advancement only, S_i via probe, no cost, no second-order, no tabu, no pheromone.</p>
        <p>2) Rossi SARA: c_ij, HC_j via 30 s flood, H_j histogram EWMA <italic>α</italic>0.3 mean*0.9 optimism, score = c_ij + E[Cost|HC_j].</p>
        <p>3) Tabu-SARA: Same as Rossi + tabu list T per destination DESIGN CHOICE tenure 10 (range 7 - 12 heuristic from Glover), N(i) = {j∉T or aspiration DESIGN CHOICE 5% improvement}. This is author’s 1994 mechanism, not part of Rossi.</p>
        <p>4) EASARA: Simple Ant base, Eres, hops, pheromone tau, CNB one neighbor rebroadcasts FANT, four-case p = 0.8/0.5/0.2/0.05, <italic>ρ</italic> = 0.25, quality = minEnergy/max_hops*1/hops*pheromone [<xref ref-type="bibr" rid="B11">11</xref>].</p>
      </sec>
      <sec id="sec4dot3">
        <title>4.3. Algorithms Requiring Global Graph State—External Comparisons (Group B—Not Directly Equivalent)</title>
        <p>D* Lite and RTD* cannot operate under same local, routing-table-free, duty-cycle-aware assumptions. D* Lite assumes agent maintains full graph G and receives exact edge cost changes. Incremental replanning O (k log k) by updating only inconsistent nodes g ≠ rhs, priority queue [min (g, rhs) + h + km, min (g, rhs)]. To obtain global state in WSN would require all-awake flooding O (V + E) per update violating Rossi premise to periodically switch off radio and not account for routing tables. In manuscript implemented as offline oracle: freeze duty-cycle (all awake), extract full graph, compute Dijkstra 1.00x lower bound. Therefore D* Lite results (normalized replanning 8 vs Dijkstra 100, 92% reduction) are B-Synthesis from Koenig &amp; Li <italic>et al.</italic>, not same-stack measurement. RTD* similarly requires forward LSS-LRTA* + reverse D* Lite costs outside coverage, needs continuous sink-to-all flooding. Its result 18% shorter than LSS-LRTA* is B-Synthesis from Bond <italic>et al.</italic> Both must be labeled “External upper bound—requires global graph state, O (V) memory, not duty-cycle constrained” in figures, dashed lines separate from solid Group A.</p>
      </sec>
      <sec id="sec4dot4">
        <title>4.4. Novel Hybrid Hypothesis</title>
        <p>Hybrid Tabu-Statistical SARA: Rossi score c_ij + E_j filtered by tabu list to avoid flapping and recently failed nodes. Tabu prevents ant revisiting recently failed nodes, pheromone guides exploitation. Hypothesized +8% lifetime over pure EASARA based on illustrative run, no replicated log-labeled hypothesis for future work requiring experiment Section 5.9. Explicitly NOT claimed as previously published or part of Rossi.</p>
      </sec>
    </sec>
    <sec id="sec5">
      <title>5. Reproducibility and Statistical Specification</title>
      <sec id="sec5dot1">
        <title>5.1. Provenance Taxonomy</title>
        <p>A = ORIGINAL ns-3 OUTPUT requires ns-3 version + commit, seed list, raw logs (.tr, energy trace, decision log), mean ± stdev 95% CI n = 10, hypothesis tests. B = SYNTHESIS FROM CITED LITERATURE paraphrases peer-reviewed results (Rossi substantially increases goodness, Jabbar avoids low energy routes, Koenig D* Lite avoids reordering, Bond RTD* first real-time). C = ILLUSTRATIVE EXAMPLE hypothetical constants (25%, 40%, 1.35x, 1.10x flat, 220/180/120, 95/155, 82%/94%/96%, tenure 7 - 12, sqrt (|S|), aspiration 5%, loop reduction 73%, hybrid +8%). All numbers in current draft are B or C until logs deposited. Previous version presented B/C as A—corrected per reviewer.</p>
      </sec>
      <sec id="sec5dot2">
        <title>5.2. MAC/PHY Models</title>
        <p>PHY YansWifiPhy LogDistance exponent 3.0 ref 46.67dB@1m + LogNormalShadowing sigma 4 dB → PRR 0.7 - 0.95, Tx 0dBm, Rx sensitivity −92 dBm, Noise 7 dB, 2.4 GHz 2 MHz 250 kbps (Wifi) or 1 Mbps. Alternative LrWpanSpectrumModel 802.15.4 250kbps. MAC AdhocWifiMac GeRaF 4 priority regions by advancement a_j, CWmin7 CWmax255 slot20us SIFS10us DIFS50us, no RTS/CTS, probabilistic channel contention per Zorzi &amp; Rao 2003. Baseline 802.15.4 LrWpanMac unslotted CSMA BE 3-5. Channel single.</p>
      </sec>
      <sec id="sec5dot3">
        <title>5.3. Energy Model</title>
        <p>BasicEnergySource 2 J per node, sink unlimited, Volt 3.0 V. WifiRadioEnergyModel/LrWpanRadioEnergyModel CC2420: Tx 17.4 mA, Rx 19.7 mA, Sleep 0.02 mA, Idle 0.02 mA → 0.05 J Tx, 0.02 J Rx per 64 B packet. Accounting interval 1 s, depletion callback node death. Energy trace every 10 s.</p>
      </sec>
      <sec id="sec5dot4">
        <title>5.4. Placement and Topology Acceptance</title>
        <p>Deployment static ConstantPositionMobilityModel (main) to match Rossi. Uniform random 500 × 500 m, sink (0, 0). Acceptance criterion: BFS from sink under full awake median path loss 50 m range requires ≥ 95% nodes have path to sink (intermittently connected but underlying connected). If not, resample. Save positions_density_D_seed_S.txt. Optional mobile extension RandomWaypoint 5 - 15 m/s pause0 s 500 × 500 for FANET mapping—separate experiment labeled mobile, not same as static Rossi assumptions.</p>
      </sec>
      <sec id="sec5dot5">
        <title>5.5. Duty-Cycle Schedule</title>
        <p>10% independent per node (Rossi model): period 1 s = 100 ms active/900ms sleep, phase offset uniform [0, 1) s per node at t = 0. During sleep radio SLEEP state not reachable, S_i(t) random. Implements Rossi random S_i due to duty cycling. HC refresh limited flood from sink every 30 s when nodes awake, nodes buffer flood if asleep until next wake. EWMA <italic>α</italic> = 0.3 for second-order histogram 20 samples per direction (80 bytes/dir).</p>
      </sec>
      <sec id="sec5dot6">
        <title>5.6. Traffic and Source Count</title>
        <p>Sources: All non-sink nodes N-1 (49 to 299) CBR 1 pkt/s/node 64 B payload +12 B SARA header (HC, Eres, hist) UDP TTL32, jitter uniform [0, 1) s to avoid sync. Total offered load 49 - 299 pkt/s. Alternative 20% random subset seed-controlled for scalability study—must be stated if used. Simulation duration 300 s simulated time, warm-up 0 - 30 s excluded from metrics.</p>
      </sec>
      <sec id="sec5dot7">
        <title>5.7. Runs, Topologies, Seeds, Duration</title>
        <p>Densities 50, 100, 150, 200, 250, 300 (6 levels). Topologies per density 10 independent placements seeds 1 - 10. Total topologies 60. Runs per topology per algorithm 1 (deterministic given seed). Total runs 60 × 5 (MFR, Rossi SARA, Tabu-SARA, EASARA, D* Lite offline oracle) = 300 runs. Seeds RngSeedManager RngSeed 1 - 10 RngRun1 controlling placement, shadowing, PRR, duty-cycle offset, traffic jitter, backoff. Duration 300 s sim, warm-up excluded. Logs: positions, energy trace, .tr, pcap at sink, SARA decision log (next-hop, c_ij, E_j, tabu status). Deposit Zenodo DOI required to claim A.</p>
      </sec>
      <sec id="sec5dot8">
        <title>5.8. Metrics, Uncertainty Intervals, Hypothesis Tests</title>
        <p>PDR = delivered_at_sink/generated_in_window (30 - 300 s) per seed → mean ± stdev 95% CI mean ± 1.96*stdev/√10 n = 10. Example format: SARA PDR 94.1% ± 1.1% CI 93.4% - 94.8% n = 10.</p>
        <p>Lifetime = time until first partition (&lt;50% nodes have awake-path to sink) → rounds = time/1s, mean ± stdev CI. Example EASARA 198.3±12.4 CI 190.6 - 206.0 vs SARA 155.7 ± 10.2 CI 149.4 - 162.0.</p>
        <p>Path-cost normalized = actual <italic>Σ</italic>c_ij/offline optimal <italic>Σ</italic>c_ij on full-awake snapshot at packet generation → average per run per hop bin 2 - 4, 5 - 7, 8 - 10 hops to avoid flat mischaracterization. Report mean ± stdev CI per bin. Previous single-point 1.35×/1.10× flat withdrawn.</p>
        <p>Hypothesis tests: paired t-test by topology seed (same placement) for each density SARA vs MFR etc., null H0 mean diff = 0, <italic>α</italic> = 0.05, report t (9), p, Cohen d. ANOVA across algorithms per density + Tukey HSD. For path-cost vs distance repeated measures ANOVA hop bin within factor. Without these, differences 25%/40%/73%/8% cannot be statistically assessed.</p>
      </sec>
      <sec id="sec5dot9">
        <title>5.9. Audit of Tabu Parameters—Design Choice vs Hypothesis</title>
        <p>Tenure 7 - 12, 10, sqrt (|S|): Rossi 0 hits for tabu, Jabbar 0 hits, Glover 1986 says 7 - 20 typical for TSP no WSN sqrt, no thesis page provided → DESIGN CHOICE: tenure 10 chosen for illustration within 7 - 12 heuristic, sqrt (|S|) hypothesis.</p>
        <p>Aspiration 5%: Rossi none, EASARA none, Glover generic no 5% for routing → DESIGN CHOICE: aspiration 5% improvement heuristic, no sensitivity.</p>
        <p>Loop reduction 73% vs DV: Sec 9 claims thesis showed 73% but no page/figure/table, no log, no citation in Rossi/Jabbar/Koenig → UNVERIFIED HYPOTHESIS (author-reported) must be “Hypothesis (claimed in 1994 thesis, page TO BE INSERTED): 73% loop reduction vs DV under conditions TO BE INSERTED, no log deposited.”</p>
        <p>Tabu-EASARA +8% lifetime: no log, Jabbar/Rossi do not contain hybrid → HYPOTHESIS/ILLUSTRATIVE: hybrid tabu avoids failed nodes hypothesized +8% lifetime illustrative run.</p>
        <p>Experiments to verify: tenure sweep {5, 7, 10, 12, 15, 20, sqrt (|S|), |S|/2} metric loops/1000 pkts; aspiration sweep {0%, 1%, 5%, 10%, 20%} metric PDR/path-cost; DV baseline Bellman-Ford same duty-cycle vs Tabu tenure10 count cycles (loops_DV-loops_Tabu)/loops_DV; EASARA vs EASARA + tabu lifetime mean ± stdev t-test. Until then prefix Design choice: or Hypothesis.</p>
      </sec>
      <sec id="sec5dot10">
        <title>5.10. Figure Caption vs Plot Inconsistencies—Corrected</title>
        <p>Previous captions reported inconsistent values versus plotted points (e.g., 50 nodes 220/180/120 vs ~215/174/112; 200 nodes 95/155 vs ~90/156; SARA 1.10× flat within 10% vs rising 1.11 → 1.20). All inconsistent captions have been corrected and labeled [C] illustrative. Corrected visual estimates are provided in <xref ref-type="fig" rid="fig1">Figures 1-3</xref> below.</p>
      </sec>
    </sec>
    <sec id="sec6">
      <title>6. Results and Discussion [All Values Illustrative/Synthesis until Logs Deposited—See Sec 5]</title>
      <p><xref ref-type="fig" rid="fig1">Figure 1</xref> [C—Illustrative, not original ns-3 output]: Lifetime rounds until first partition vs density. Corrected visual estimates: 50 nodes EASARA ~215 rounds, Rossi SARA ~174 rounds, MFR ~112 rounds (not 220/180/120); 200 nodes MFR ~90 rounds, Rossi SARA ~156 rounds, Tabu-SARA ~162 rounds, EASARA ~200 rounds (not 95/155). Previous caption inconsistent—corrected. Trend illustrates Jabbar <italic>et al.</italic> [6] lifetime increases with choices enabling balancing, prolongs lifetime. Requires seeds 1 - 10 logs to claim A. See <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p>
      <fig id="fig1">
        <label>Figure 1</label>
        <graphic xlink:href="https://html.scirp.org/file/9702667-rId15.jpeg?20261014034709" />
      </fig>
      <p><bold>Figure 1</bold><bold>.</bold> Network lifetime vs density [C—Illustrative, Corrected].</p>
      <p><xref ref-type="fig" rid="fig2">Figure 2</xref> [C—Illustrative, synthesis from Rossi [1] [5]]: Normalized cost vs hops. Visual: offline optimal 1.00 → 1.05, SARA 1.11 → 1.20, MFR 1.28 → 1.38. Previous claimed SARA 1.10× flat within 10% at all distances inaccurate—withdrawn. At 10 hops 1.20 vs 1.05 = 14.3% over optimal, exceeding 10% claim. Illustrates Rossi [1] substantially increases goodness vs fully localized greedy, but not flat. See <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p>
      <fig id="fig2">
        <label>Figure 2</label>
        <graphic xlink:href="https://html.scirp.org/file/9702667-rId16.jpeg?20261014034709" />
      </fig>
      <p><bold>Figure 2</bold><bold>.</bold> Path cost vs distance [C—Illustrative, Synthesis].</p>
      <fig id="fig3">
        <label>Figure 3</label>
        <graphic xlink:href="https://html.scirp.org/file/9702667-rId17.jpeg?20261014034709" />
      </fig>
      <p><bold>Figure 3</bold>. Replanning cost comparison [B—Synthesis].</p>
      <p><xref ref-type="fig" rid="fig3">Figure 3</xref> [B—Synthesis from Koenig [<xref ref-type="bibr" rid="B9">9</xref>] + Li <italic>et al.</italic> [<xref ref-type="bibr" rid="B12">12</xref>]]: Relative replanning time normalized Dijkstra 100 (ref), A* 35 illustrative, D* Lite 8 B-Synthesis from Koenig &amp; Li <italic>et al.</italic> significantly reduces time by updating only affected regions, Rossi SARA per-hop 2 no global recompute. D* Lite avoids reordering priority queue, efficiency ≥ D* with lower memory [<xref ref-type="bibr" rid="B9">9</xref>]. See <xref ref-type="fig" rid="fig3">Figure 3</xref>.</p>
      <p><bold>Tables</bold><bold>—</bold><bold>Sequentially Numbered and Cited in Numerical Order</bold></p>
      <p><bold>Table 1</bold> summarizes complexity of algorithms with verified sources. Complexity details are shown in <bold>Table 1</bold> [1] [4] [6] [7] [<xref ref-type="bibr" rid="B9">9</xref>][<xref ref-type="bibr" rid="B12">12</xref>].</p>
      <p><bold>Table 1</bold><bold>.</bold>Complexity analysis—verified sources.</p>
      <table-wrap id="tbl1">
        <label>Table 1</label>
        <table>
          <tbody>
            <tr>
              <td>
                <bold>Algorithm</bold>
              </td>
              <td>
                <bold>Complexity (verified)</bold>
              </td>
              <td>
                <bold>Memory</bold>
              </td>
              <td>
                <bold>Optimality</bold>
              </td>
              <td>
                <bold>Source</bold>
              </td>
            </tr>
            <tr>
              <td>
                <bold>Tabu-SARA</bold>
                <bold>1994 claim</bold>
              </td>
              <td>O (|S| log |S|) + tabu O (tenure) DESIGN CHOICE</td>
              <td>O (|S|) + tabu + hist</td>
              <td>Metaheuristic hypothesis</td>
              <td>Author [4], Glover 1986 [7]</td>
            </tr>
            <tr>
              <td>
                <bold>Dijkstra binary heap</bold>
              </td>
              <td>O ((V + E) logV)</td>
              <td>O (V)</td>
              <td>Optimal</td>
              <td>Standard</td>
            </tr>
            <tr>
              <td>
                <bold>A* consistent h</bold>
              </td>
              <td>O (b^d) worst &lt;&lt; Dijkstra</td>
              <td>O (b^d)</td>
              <td>Optimal if admissible</td>
              <td>Standard</td>
            </tr>
            <tr>
              <td>
                <bold>D* Lite</bold>
              </td>
              <td>O (k log k) incremental, avoids reordering vs LPA*</td>
              <td>O (V)</td>
              <td>Optimal, ≥ D*</td>
              <td>
                [
                <xref ref-type="bibr" rid="B9">9</xref>
                ][
                <xref ref-type="bibr" rid="B12">12</xref>
                ]
              </td>
            </tr>
            <tr>
              <td>
                <bold>Rossi SARA</bold>
              </td>
              <td>O (|S| log |S|) per hop, no table</td>
              <td>O (|S|) + hist 80B/dir</td>
              <td>Statistically optimal online, illustr. ~1.11 - 1.20×</td>
              <td>[1] [5]</td>
            </tr>
            <tr>
              <td>
                <bold>EASARA</bold>
              </td>
              <td>O (|S|) + ants</td>
              <td>O (|S|) pheromone</td>
              <td>Energy-balanced, prolongs lifetime</td>
              <td>[6]</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p><bold>Table 2</bold> provides full reproducibility specification required for IJCNS. Simulation parameters are detailed in <bold>Table 2</bold> [8].</p>
      <p><bold>Table 2</bold><bold>.</bold> Simulation parameters—full reproducibility spec.</p>
      <table-wrap id="tbl2">
        <label>Table 2</label>
        <table>
          <tbody>
            <tr>
              <td>
                <bold>Parameter</bold>
              </td>
              <td>
                <bold>Value (Required for A)</bold>
              </td>
            </tr>
            <tr>
              <td>
                <bold>Simulator</bold>
              </td>
              <td>ns-3.36 commit [INSERT], repo [INSERT DOI]</td>
            </tr>
            <tr>
              <td>
                <bold>Area</bold>
              </td>
              <td>500 × 500 m sink (0, 0)</td>
            </tr>
            <tr>
              <td>
                <bold>Densities</bold>
              </td>
              <td>50, 100, 150, 200, 250, 300</td>
            </tr>
            <tr>
              <td>
                <bold>Topologies</bold>
                <bold>per density</bold>
              </td>
              <td>10 seeds 1 - 10 acceptance ≥95% connectivity</td>
            </tr>
            <tr>
              <td>
                <bold>Total runs</bold>
              </td>
              <td>300 (60 topologies ×5 algos)</td>
            </tr>
            <tr>
              <td>
                <bold>Duration</bold>
              </td>
              <td>300 s sim, warm-up 0 - 30 s excluded</td>
            </tr>
            <tr>
              <td>
                <bold>Mobility</bold>
              </td>
              <td>ConstantPosition static (main), RandomWaypoint 5 - 15 m/s optional</td>
            </tr>
            <tr>
              <td>
                <bold>Sources</bold>
              </td>
              <td>N-1 (49 - 299) CBR 1 pkt/s 64 B + 12 B jitter U [0, 1) s TTL32</td>
            </tr>
            <tr>
              <td>
                <bold>PHY</bold>
              </td>
              <td>
                YansWifiPhy LogDistance exp3 ref46.67dB + LogNormal
                <italic>σ</italic>
                4dB PRR0.7 - 0.95 Tx0dBm Rx-92dBm
              </td>
            </tr>
            <tr>
              <td>
                <bold>MAC</bold>
              </td>
              <td>AdhocWifiMac GeRaF 4 regions by a_j CWmin7 CWmax255 no RTS/CTS [8]</td>
            </tr>
            <tr>
              <td>
                <bold>Duty-cycle</bold>
              </td>
              <td>10% independent 100 ms/900ms period 1 s offset U [0, 1) s</td>
            </tr>
            <tr>
              <td>
                <bold>Energy</bold>
              </td>
              <td>BasicEnergySource 2 J CC2420 Tx 17.4 mA Rx 19.7 mA Sleep 0.02 mA</td>
            </tr>
            <tr>
              <td>
                <bold>Seeds</bold>
              </td>
              <td>RngSeed1 - 10 RngRun1 controls placement/shadowing/PRR/offset/jitter/backoff</td>
            </tr>
            <tr>
              <td>
                <bold>Metrics</bold>
              </td>
              <td>PDR, lifetime rounds, normalized cost, msgs/hop mean ± stdev 95% CI n = 10 paired t-test ANOVA</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p><bold>Table 3</bold> audits previously unsupported claims relabeled as DESIGN CHOICE/HYPOTHESIS. Audit details are summarized in <bold>Table 3</bold>. See <bold>Table 3</bold>.</p>
      <p><bold>Table 3</bold><bold>.</bold> Audit of unsupported claims—relabeled.</p>
      <table-wrap id="tbl3">
        <label>Table 3</label>
        <table>
          <tbody>
            <tr>
              <td>
                <bold>Claim</bold>
              </td>
              <td>
                <bold>Previous</bold>
              </td>
              <td>
                <bold>Correct framing</bold>
              </td>
              <td>
                <bold>Experiment required</bold>
              </td>
            </tr>
            <tr>
              <td>
                <bold>Tenure 7</bold>
                <bold>-</bold>
                <bold>12,</bold>
                <bold>10,</bold>
                <bold>sqrt</bold>
                <bold>(|S|)</bold>
              </td>
              <td>tenure 7 - 12 sqrt (|S|) works well</td>
              <td>DESIGN CHOICE tenure10 heuristic</td>
              <td>Sweep {5, 7, 10, 12, 15, 20, sqrt} loops/1000 pkts</td>
            </tr>
            <tr>
              <td>
                <bold>Aspiration 5%</bold>
              </td>
              <td>aspiration &gt; 5%</td>
              <td>DESIGN CHOICE 5% heuristic</td>
              <td>Sweep {0%, 1%, 5%, 10%, 20%} PDR</td>
            </tr>
            <tr>
              <td>
                <bold>Loop reduction 73%</bold>
              </td>
              <td>reduces loops 73% vs DV</td>
              <td>HYPOTHESIS author-reported unverified</td>
              <td>DV baseline same duty-cycle count cycles</td>
            </tr>
            <tr>
              <td>
                <bold>Tabu-EASARA +8%</bold>
              </td>
              <td>improves 8% over EASARA</td>
              <td>HYPOTHESIS illustrative</td>
              <td>EASARA vs + tabu lifetime t-test</td>
            </tr>
            <tr>
              <td>
                <bold>25% over MFR,</bold>
                <bold>within10</bold>
                <bold>% optimal</bold>
              </td>
              <td>25% over MFR within10% optimal</td>
              <td>B Synthesis 25%/10% illustrative quantifications of Rossi qualitative [1]</td>
              <td>Mean ± CI per hop bin</td>
            </tr>
            <tr>
              <td>
                <bold>40% over SARA</bold>
              </td>
              <td>40% over SARA</td>
              <td>B Synthesis 40% illustrative constant of Jabbar trend [6]</td>
              <td>Lifetime mean ± CI</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p><bold>Table 4</bold><bold>.</bold> SARA variants across domains—acronym overlap.</p>
      <table-wrap id="tbl4">
        <label>Table 4</label>
        <table>
          <tbody>
            <tr>
              <td>
                <bold>Domain</bold>
              </td>
              <td>
                <bold>Variant</bold>
              </td>
              <td>
                <bold>Core</bold>
              </td>
              <td>
                <bold>Source</bold>
              </td>
              <td>
                <bold>Overlap Note</bold>
              </td>
            </tr>
            <tr>
              <td>
                <bold>Origin 1994</bold>
                <bold>claim</bold>
              </td>
              <td>Tabu-SARA</td>
              <td>Tabu tenure DESIGN CHOICE</td>
              <td>Author [4]</td>
              <td>Search Algorithms—distinct expansion</td>
            </tr>
            <tr>
              <td>
                <bold>WSN 2008</bold>
              </td>
              <td>Rossi SARA</td>
              <td>Second-order stats, c_ij = f (Ps, Eres, a)</td>
              <td>Rossi 14:55-70 [1] [5]</td>
              <td>Statistically Assisted—distinct, no tabu</td>
            </tr>
            <tr>
              <td>
                <bold>WSN 2015</bold>
              </td>
              <td>EASARA</td>
              <td>Avoid low energy, least hop with more energy, CNB</td>
              <td>Jabbar Art194532 [6]</td>
              <td>Energy Aware Simple Ant—builds on Simple Ant MANET, not Rossi</td>
            </tr>
            <tr>
              <td>
                <bold>MANET</bold>
              </td>
              <td>Simple Ant SARA</td>
              <td>Ant hop + pheromone</td>
              <td>Literature</td>
              <td>Third expansion</td>
            </tr>
            <tr>
              <td>
                <bold>Real-time</bold>
              </td>
              <td>RTD*</td>
              <td>First real-time for dynamic, shorter than LSS-LRTA*</td>
              <td>
                Bond SOCS 2010 [
                <xref ref-type="bibr" rid="B10">10</xref>
                ]
              </td>
              <td>External requires global state</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p><bold>Table 4</bold> clarifies SARA variants across domains and acronym overlap. Variant details are presented in <bold>Table 4</bold>. Details in <bold>Table 4</bold>.</p>
    </sec>
    <sec id="sec7">
      <title>7. Discussion</title>
      <sec id="sec7dot1">
        <title>7.1. Acronym Overload and Citation Integrity</title>
        <p>Acronym overload is common in networking: our audit confirms SARA has been used for at least four independent concepts (<bold>Table 4</bold>): 1) Search Algorithms for Routing Adaptation (Tabu-based, 1994 claim, packet-switched, author-reported) [4] [7], 2) Statistically Assisted Routing Algorithms (Rossi <italic>et al.</italic> 2008, WSN hop-count forwarding accounting for state within range and statistically outside coverage [1] [5]), 3) Simple Ant Routing Algorithm (MANET base for EASARA) [6], and 4) Singular-Value Low-Rank Adaptation (2024). Acronym identity alone does not establish technical lineage. Our terminological evidence shows different expansions, technical evidence shows tabu memory vs second-order histograms and GeRaF contention [8], and citation evidence shows Rossi [1] does not cite AlMahmeed 1994 [4], no independent bibliographic record outside manuscript, and Jabbar <italic>et al.</italic> [6] builds on Simple Ant MANET, not Rossi. No citation chain Tabu-SARA → Rossi-SARA → EASARA was found. D* Lite [<xref ref-type="bibr" rid="B9">9</xref>] and RTD* [<xref ref-type="bibr" rid="B10">10</xref>] cannot be evaluated under same local routing-table-free duty-cycled assumptions without centralized all-awake flooding O (V + E) violating Rossi premise [1]. They are therefore presented as external upper bounds (<xref ref-type="fig" rid="fig3">Figure 3</xref>) requiring global graph state.</p>
      </sec>
      <sec id="sec7dot2">
        <title>7.2. Limitations</title>
        <p>Current draft provides no deposited logs, no seed list, no confidence intervals, no hypothesis tests, therefore all numerical differences remain illustrative per provenance taxonomy A/B/C defined in Sec 5.1. Specifically: 1) The lifetime rounds and path cost values are visual estimates from plots (~215/174/112 at 50 nodes, ~90/156/200 at 200 nodes; 1.00 → 1.05 optimal, 1.11 → 1.20 SARA, 1.28 → 1.38 MFR) not mean ± stdev 95% CI across seeds 1 - 10; 2) Tabu parameters tenure 7 - 12, 10, sqrt (|S|), aspiration 5% are DESIGN CHOICE heuristics within Glover 7 - 20 typical for TSP [7], without ablation; loop reduction 73% and Tabu-EASARA +8% are HYPOTHESIS author-reported without page/table/log; 3) 25%/10%/40% gains are B-Synthesis illustrative quantifications of Rossi qualitative ‘substantially increases goodness vs fully localized greedy’ [1] and Jabbar trend [6]; 4) D* Lite O (k log k) 92% reduction is B-Synthesis from Koenig [<xref ref-type="bibr" rid="B9">9</xref>] and Li <italic>et al.</italic> [<xref ref-type="bibr" rid="B12">12</xref>]; 5) Mobility model for FANET mapping not yet evaluated under same stack. To claim ORIGINAL ns-3 OUTPUT, required per Sec 5.8: ns-3 version + commit, seed list 1 - 10, raw logs (.tr, energy trace, decision logs), positions files, mean ± stdev 95% CI mean ± 1.96*stdev/√10 n = 10, paired t-test by seed t (9) p Cohen d, ANOVA + Tukey, repeated measures per hop bin.</p>
      </sec>
      <sec id="sec7dot3">
        <title>7.3. Future Work</title>
        <p>Future work: 1) Implement Sec 5 full spec and deposit Zenodo DOI with positions_density_D_seed_S.txt, energy traces, .tr, decision logs, report revised parameters with mean ± stdev CI p-values; 2) Implement novel hybrid Tabu + Statistical SARA: Rossi score c_ij filtered by tabu list to avoid flapping and recent loops, with tabu tenure sweep {5, 7, 10, 12, 15, 20, sqrt (|S|)} metric loops/1000 pkts and aspiration sweep {0%, 1%, 5%, 10%, 20%} metric PDR/path-cost, EASARA vs EASARA + tabu lifetime mean ± stdev t-test; 3) Evaluate FANET RandomWaypoint 5 - 15 m/s under same stack as separate scenario; 4) Provide provenance labels [A] ORIGINAL, [B] SYNTHESIS, [C] ILLUSTRATIVE for every number in all tables and figures.</p>
      </sec>
    </sec>
    <sec id="sec8">
      <title>8. Conclusion</title>
      <p>SARA has two independent origins: Search Algorithms for Routing Adaptation (Tabu-based, 1994 claim, author-reported) [4] [7] and Statistically Assisted Routing Algorithms (Rossi <italic>et al.</italic> 2008 documented as greedy forwarding driven by second-order cost statistics [1] [5]). EASARA builds on Simple Ant Routing Algorithm (MANET) per Jabbar [6]. Acronym identity is coincidental reuse. No documented citation chain establishes Tabu-SARA as foundational to Rossi-SARA. D* Lite [<xref ref-type="bibr" rid="B9">9</xref>] and RTD* [<xref ref-type="bibr" rid="B10">10</xref>] require global graph state and are external upper bounds (the corresponding figure). All figure caption vs plot inconsistencies corrected (values 220/180/120 vs ~215/174/112 at 50 nodes, 95/155 vs ~90/156 at 200 nodes; the corresponding figure not flat 1.10x but 1.11 → 1.20 vs optimal 1.00 → 1.05 exceeding 10% claim, 14.3% at 10 hops). Tabu parameters audited as design choices/hypotheses. Contribution is distinction with verified references [1]-[<xref ref-type="bibr" rid="B12">12</xref>], full reproducibility spec for IJCNS, corrected figures/tables (all tables and figures), and novel synthesis proposal labeled as new hypothesis, not historical lineage.</p>
    </sec>
  </body>
  <back>
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