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Open shop scheduling games

Ata Atay, Pedro Calleja and Sergio Soteras

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Abstract: This paper takes a game theoretical approach to open shop scheduling problems with unit execution times to minimize the sum of completion times. By supposing an initial schedule and associating each job (consisting in a number of operations) to a different player, we can construct a cooperative TU-game associated with any open shop scheduling problem. We assign to each coalition the maximal cost savings it can obtain through admissible rearrangements of jobs' operations. By providing a core allocation, we show that the associated games are balanced. Finally, we relax the definition of admissible rearrangements for a coalition to study to what extend balancedness still holds.

Date: 2019-07
New Economics Papers: this item is included in nep-gth
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http://arxiv.org/pdf/1907.12909 Latest version (application/pdf)

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Journal Article: Open shop scheduling games (2021) Downloads
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