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.
Highlights
The uncapacitated fixed-charge location problem (UFLP) [1] is a classical facility location problem that chooses facility locations and assignments of customers to facilities to minimize the sum of fixed and transportation costs
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
Snyder and Daskin [2] define the “reliability” of a system as the ability of a system to perform well even when parts of the system have failed. They formulate models based on the UFLP and other classical discrete location problems to optimize the reliability of a system
Summary
The uncapacitated fixed-charge location problem (UFLP) [1] is a classical facility location problem that chooses facility locations and assignments of customers to facilities to minimize the sum of fixed and transportation costs. Snyder and Daskin [2] define the “reliability” of a system as the ability of a system to perform well even when parts of the system have failed. They formulate models based on the UFLP and other classical discrete location problems to optimize the reliability of a system. They ignore an actual situation that suppliers would not like to serve the customers too far from them when the supplier who serves these customers previously has failed.
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