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N. Nahas and M. Nourelfath, “Ant System for Reliability Optimization of a Series System with Multiple-Choice and Budget Constraints,” Reliability Engineering and System Safety, Vol. 87, No. 1, 2005, pp. 1-12. doi:10.1016/j.ress.2004.02.007

has been cited by the following article:

• TITLE: Optimal Redundancy Allocation in Hierarchical Series-Parallel Systems Using Mixed Integer Programming

  AUTHORS: Mohsen Ziaee

  KEYWORDS: Hierarchical Series-Parallel System; Optimal Redundancy Allocation; Mixed Integer Programming Formulation; Reliability Optimization

  JOURNAL NAME: Applied Mathematics, Vol.4 No.1, January 28, 2013

  ABSTRACT: Reliability optimization plays an important role in design, operation and management of the industrial systems. System reliability can be easily enhanced by improving the reliability of unreliable components and/or by using redundant configuration with subsystems/components in parallel. Redundancy Allocation Problem (RAP) was studied in this research. A mixed integer programming model was proposed to solve the problem, which considers simultaneously two objectives under several resource constraints. The model is only for the hierarchical series-parallel systems in which the elements of any subset of subsystems or components are connected in series or parallel and constitute a larger subsystem or total system. At the end of the study, the performance of the proposed approach was evaluated by a numerical example.