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Reliability Analysis of Systems Based on the UFLP under Facility Failure and Conditional Supply Cases
Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an, China
Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an, China
Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an, China
- 1 Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an, China
- 2 Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an, China
- 3 Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an, China
Advances in Pure Mathematics·Volume 02 (2012)·Pages 128–132·Published 22 March 2012·DOI10.4236/apm.2012.22019
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Abstract
The reliability of facility location problems has been received wide attention for several decades. Researchers formulate varied models to optimize the reliability of location decisions. But the most of such studies are not practical since the models are too ideal. In this paper, based on the classical uncapacitated fixed-charge location problem (UFLP) and some supply constraints from the reality, we distinguish deterministic facility failure and stochastic facility failure cases to formulate models to measure the reliability of a system. The computational results and reliability envelopes for a specific example are also given.
KeywordsReliability AnalysisFacility FailureSupply ConstraintUncapacitated Fixed Charge Location Problem
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