Lotsize optimization leading to a $p$-median problem with cardinalities

Details Lotsize optimization leading to a $p$-median problem with cardinalities Lotsize optimization leading to a $p$-median problem with cardinalities

2008-04-09

arxiv.org/abs/0804.1408v1

Mathematics

Optimization and Control

14 pages

Scientific paper

We consider the problem of approximating the branch and size dependent demand of a fashion discounter with many branches by a distributing process being based on the branch delivery restricted to integral multiples of lots from a small set of available lot-types. We propose a formalized model which arises from a practical cooperation with an industry partner. Besides an integer linear programming formulation and a primal heuristic for this problem we also consider a more abstract version which we relate to several other classical optimization problems like the p-median problem, the facility location problem or the matching problem.

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