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M. L. Balinski, “Integer Programming: Methods, Uses, Computation,” Management Science, Vol. 12, No. 3, 1965, pp. 253-313.

has been cited by the following article:

• TITLE: Reliability Analysis of Systems Based on the UFLP under Facility Failure and Conditional Supply Cases

  AUTHORS: Min Wang, Zongtian Wei, Yun He

  KEYWORDS: Reliability Analysis; Facility Failure; Supply Constraint; Uncapacitated Fixed Charge Location Problem

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.2, March 22, 2012

  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.