A stochastic set-covering location model for both ameliorating and deteriorating items |
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Affiliation: | 1. Department of Electrical and Information Engineering, Politecnico di Bari, Bari, Italy (Tel :+39 080 5963667).;2. Department of Electrical and Information Engineering, Politecnico di Bari, Bari, Italy;3. Department of Mathematics, Mechanics and Management Engineering, Politecnico di Bari, Bari, Italy |
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Abstract: | Most of the previous works on classical location models are based on the assumption that the value (or utility) of inventory remains constant over time. In this study, a special case of the stochastic set-covering location problem is studied for both ameliorating and deteriorating items. The objective of this study is to determine the minimum number of storage facilities among a discrete set of location sites so that the probability of each customer being covered is not less than a critical value. We have formulated this problem using the stochastic set-covering problem, which can be solved via the 0–1 programming method. We have also developed a computer program for this problem and the results of a set of sample problems for fish culture storage and supply center will show the impact of the ameliorating and deteriorating rates on the location problem. For further study, a graphical user-interface with visualization for input and output needs is to be developed. |
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