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.