Set covering location models with stochastic critical distances

Set covering location models with stochastic critical distances

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Article ID: iaor20133688
Volume: 64
Issue: 7
Start Page Number: 945
End Page Number: 958
Publication Date: Jul 2013
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: covering problems, uncertainty
Abstract:

This paper formulates a new version of set covering models by introducing a customer‐determined stochastic critical distance. In this model, all services are provided at the sites of facilities, and customers have to go to the facility sites to obtain the services. Due to the randomness of their critical distance, customers patronize a far or near facility with a probability. The objective is to find a minimum cost set of facilities so that every customer is covered by at least one facility with an average probability greater than a given level α. We consider an instance of the problem by embedding the exponential effect of distance into the model. An algorithm based on two searching paths is proposed for solutions to the instance. Experiments show that the algorithm performs well for problems with greater α, and the experimental results for smaller α are reported and analysed.

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