Name: Santosh Kumar

Title: Adjunct Professor

Affiliation: RMIT University, Melbourne, Australia

Email: [email protected]

Research fields:

Continuous Optimization (Linear)

Multi-Criteria Decision Methods

Discrete Optimization

Heuristics Mathematical Programming

Networks

Community Operations Research

Education Operations Research

Operations Research in Nonprofit Organization

Policy Modeling and Public Sector OR

Qualifications:

1968 PhD, Delhi University, Delhi, India.

1959 MSc, Vikram University, Ujjain, India

1956 BSc, Rajasthan University, Jaipur India.

Publications (Selected)

1. T. Tawanda. S. Kumar, E. Munapo, and P. Nyamugure, (2024), Application of network reconstruction algorithm to compute maximum flow for water supply network: A Case study of the City of Bulawayo, Zimbabwe, Contemporary Mathematics, Vol 5, Issue 2, 2024, DOI: https://doi.org/10.37256/cm.5220243684, pp 2173-2184.
2. S. Kumar, E. Munapo, P. Nyamugure, T. Tawanda, (2024), Path through specified nodes and links in a network, Journal of Graphic Era University, Vol 12, 2, pp 263-282, doi: 10.13052/jgeu0975-1416.1225@2024, River Publishers
3. S. Kumar, E. Munapo,(2024) "Innovative Ways of Developing and Using Specific Purpose Alternatives for Solving Hard Combinatorial Network Routing and Ordered Optimization Problems" Applied Mathematics, 2024,4,791-805, http://doi.org/10.3390/appliedmaths4020042 https://www.mdpi.com/2673-9909/4/2/42/pdf, pp 791-805.
4. S. Kumar, T. Tawanda, E. Munapo, and P. Nyamugure (2023) A note on solving the transportation problem by the Hungarian Method of Assignment: A total unification of Transportation and Assignment Models, Intelligent Computing and Optimization, Proc. Of the 6th International conference on Intelligent Computing and Optimization 2023 (ICO2023) Vol 5, Springer ISSN 2367-3370, http://doi.org/10.1007/978-3-031-50158-6, Lecture Notes in Network Systems, No 855, 2023. Pp301-313.
5. S. Kumar, E. Munapo, P. Nyamugure, T. Tawanda, (2023). Minimum Spanning Tree Approximation to Path through ‘k’ specified links, Journal of Graphic Era University, Vol. 11, No 2, pp 221-238, doi: 10.13052/jgeu0975-1416.1127@2023 River Publishers
6. E. Munapo, S. Kumar, (2023), Review: Recent Developments in Linear Integer programming, Chapter 4, Research Trends in Mathematics and Statistics, Vol 24, (Ed.) Dr Arun Kumar Bharti and Dr VK Tripathi, Akinik Publications, pp 49-62, 2023
7. T. Tawanda, E. Munapo, S. Kumar, and P. Nyamugure (2023) Extended YANYAKUMU labelling method to compute shortest path in directed networks, International Journal of Mathematical, Engineering and Management Sciences, Vol 8, No 5, pp991-1005. (https://doi.orrg/10.33889/IJMEMS.2023.8.5.057)
8. T. Tawanda, P. Nyamugure , S. Kumar, and E. Munapo (2023), An intelligent node labelling maximal flow algorithm, Int J Syst Assur Eng Manag (https://doi.org/10.1007/s13198-023-01930-3)
9. T. Tawanda, P. Nyamugure, S. Kumar, E. Monapo, (2023) A Labelling Method for the Travelling Salesman Problem, Applied Sciences, Vol 13, 6417 (https://doi.org/10.3390/app13116417)
10. T. Tawanda, P. Nyamugure, E. Munapo, S. Kumar, (2023) Extreme Min-Cut Max-Flow Algorithm, International Journal of Applied Mathematics, Vol 14, No 1, pp 1 to 16. (https://doi.org/10.4018/IJAMC.322436)
11. S. Kumar, E.Munapo, P. Nyamugure, T. Tawanda, (2022) Mathematics of OR: Significance and application of Virtual directions in reducing the computational complexity in network optimization, Chapter 3, Emerging Trends in Applied Research, Vol 3, Editor, IS Chauhan, pp 33-47,Integrated Publications, New Delhi.
12. E. Munapo and S. Kumar, (2022) Using the ordered cuts to reduce the complexity of the Generalized Assignment Problem, Chapter 1, Emerging Trends in Applied Research, Vol 3, Editor, IS Chauhan, pp 3-13,Integrated Publications, New Delhi.
13. E. Munapo and S. Kumar, (2021) Reducing the complexity of the knapsack linear integer problem by reformulation techniques, International Journal of System Assurance Engineering Management, Vol 12, Issue 6, pp 1087- 1093, http:// doi.org/10.1007/s13198-021-01232-6.
14. E. Munapo, S. Kumar, K. Mpeta, (2021) A new direction to the maximal Flow Problem: A Route Merging Approach, Applied Mathematics & Information Sciences, Vol 15, No 4, pp 487-495. (http://dx.doi.org/10.18576/amis/150411
15. S. Kumar and E. Munapo, (2021) Interdependence of Software and Progress of Mathematics in OR: Some Illustrative Cases and Challenges, American Journal of Operations Research, Vol 11, pp110-119 (http://wws.scirp.org/journal/ajor/)
16. S. Kumar, E. Munapo, P. Nyamugure, (2021), An insight into the Characteristics Equation for an Integer program, International Journal of Mathematical, Engineering and Management Sciences, Vol 6, No 2, 611-620.
17. Ali Al-Hasani, M. Al-Rabeeah, S. Kumar and A. Eberhard, (2020) A rank-based solution method to determine non-dominated points for a multi-objective assignment problem, International Journal of Mathematical, Engineering and Management Sciences, Vol 5, No 6, 1249-1269.
18. S. Kumar, Ali Al-Hasani, M. Al-Rabeeah and A. Eberhard, A. (2020) A random search method for finding K >= 2 number of ranked optimal solution to an assignment problem, Journal of Physics, Conference Series, 1490 (2020) 012063, doi:10.1088/1742-6596/1490/1/012063.

Profile Details

https://www.rmit.edu.au/profiles/k/santosh-kumar