A stochastic set-covering location model for both ameliorating and deteriorating items

Authors:
Heung-Suk Hwang
Affiliations:
Department of Industrial Engineering, Dongeui University, San 24 Gaya-dong Busanjin-ku, Busan 614-714, South Korea
Venue:
Computers and Industrial Engineering - Special issue: Selected papers from the 27th international conference on computers & industrial engineering
Year:
2004

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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.