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


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.

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M. Wang, Z. Wei and Y. He, "Reliability Analysis of Systems Based on the UFLP under Facility Failure and Conditional Supply Cases," Advances in Pure Mathematics, Vol. 2 No. 2, 2012, pp. 128-132. doi: 10.4236/apm.2012.22019.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] M. L. Balinski, “Integer Programming: Methods, Uses, Computation,” Management Science, Vol. 12, No. 3, 1965, pp. 253-313.
[2] L. V. Snyder and M. S. Daskin, “Reliability Models for Facility Location: The Expected Failure Cost Case,” Transportation Science, Vol. 39, No. 3, 2005, pp. 400- 416.
[3] Z.-J. Shen, “Integrated Supply Chain Design Models: A Survey and Future Research Directions,” Journal of Industrial and Management Operation, Vol. 3, No. 1, 2007, pp. 1-27.
[4] J. Current, M. Daskin and D. Schilling, “Facility Location: Applications and Theory,” In: Z. Drezner and H. W. Hamacher, Eds., Springer-Verlag, New York, 2001.
[5] M. S. Daskin, “What You Should Know about Location Modeling,” Naval Research Logistics, Vol. 55, No. 4, 2008, pp. 283-294. doi:10.1002/nav.20284
[6] L. V. Snyder and Z.-J. Shen, “Managing Disruptions to Supply Chains,” National Academy of Engineering, Vol. 36, No. 4, 2006, pp. 39-45.
[7] Z. T. Wei and H. Y. Xiao, “Reliability Analysis of Facility Systems Subject to Edge Failures: Based on the Uncapacitated Fixed-Charge Location Problem,” Open Journal of Discrete Mathematics, Vol. 1, No. 3, 2011, pp. 153-159. doi:10.4236/ojdm.2011.13019

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