Cooperative Lot Sizing Games in Supply Chains

Business & Finance, Economics, Econometrics, Management & Leadership, Operations Research
Cover of the book Cooperative Lot Sizing Games in Supply Chains by Julia Drechsel, Springer Berlin Heidelberg
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Author: Julia Drechsel ISBN: 9783642137259
Publisher: Springer Berlin Heidelberg Publication: August 18, 2010
Imprint: Springer Language: English
Author: Julia Drechsel
ISBN: 9783642137259
Publisher: Springer Berlin Heidelberg
Publication: August 18, 2010
Imprint: Springer
Language: English

The presented work combines two areas of research: cooperative game theory and lot size optimization. One of the most essential problems in cooperations is to allocate cooperative profits or costs among the partners. The core is a well known method from cooperative game theory that describes efficient and stable profit/cost allocations. A general algorithm based on the idea of constraint generation to compute core elements for cooperative optimization problems is provided. Beside its application for the classical core, an extensive discussion of core variants is presented and how they can be handled with the proposed algorithm. The second part of the thesis contains several cooperative lot sizing problems of different complexity that are analyzed regarding theoretical properties like monotonicity or concavity and solved with the proposed row generation algorithm to compute core elements; i.e. determining stable and fair cost allocations.

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The presented work combines two areas of research: cooperative game theory and lot size optimization. One of the most essential problems in cooperations is to allocate cooperative profits or costs among the partners. The core is a well known method from cooperative game theory that describes efficient and stable profit/cost allocations. A general algorithm based on the idea of constraint generation to compute core elements for cooperative optimization problems is provided. Beside its application for the classical core, an extensive discussion of core variants is presented and how they can be handled with the proposed algorithm. The second part of the thesis contains several cooperative lot sizing problems of different complexity that are analyzed regarding theoretical properties like monotonicity or concavity and solved with the proposed row generation algorithm to compute core elements; i.e. determining stable and fair cost allocations.

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