An approximation algorithm for a facility location problem with inventories and stochastic demands

Authors:
Adriana F. Bumb;Jan-Kees C. W. van Ommeren
Affiliations:
Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, Enschede, The Netherlands;Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, Enschede, The Netherlands
Venue:
AAIM'05 Proceedings of the First international conference on Algorithmic Applications in Management
Year:
2005

Citing 6
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Abstract

In this article we propose, for any ε 0, a 2(1 + ε)-approximation algorithm for a facility location problem with stochastic demands. At open facilities, inventory is kept such that arriving requests find a zero inventory with (at most) some pre-specified probability. The incurred costs are the expected transportation costs from the demand points to the facilities, the operating costs of the facilities and the investment in inventory. AMS Classification: 68W25, 90B06, 60K30.