Sequencing interval situations and related games

S.Z. Alparslan-Gok, R. Brânzei, V. Fragnelli, S.H. Tijs

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Uncertainty accompanies almost every situation in real world and it influences our decisions. In sequencing situations it may affect parameters used to determine an optimal order in the queue, and consequently the decision of whether (or not) to rearrange the queue by sharing the realized cost savings. This paper extends the analysis of one-machine sequencing situations and their related cooperative games to a setting with interval data, i.e. when the agents’ costs per unit of time and/or processing time in the system lie in intervals of real numbers obtained by forecasting their values. The question addressed here is: How to determine an optimal order (if the initial order in the queue is not so) and which approach should be used to motivate the agents to adopt the optimal order? This question is an important one that deserves attention both in theory and practice.
Original languageEnglish
Pages (from-to)225-236
JournalCentral European Journal of Operations Research
Volume21
Issue number1
Publication statusPublished - 2013

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Sequencing
Queue
Cost savings
Uncertainty
Interval data
Cooperative game
Costs

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Alparslan-Gok, S. Z., Brânzei, R., Fragnelli, V., & Tijs, S. H. (2013). Sequencing interval situations and related games. Central European Journal of Operations Research, 21(1), 225-236.
Alparslan-Gok, S.Z. ; Brânzei, R. ; Fragnelli, V. ; Tijs, S.H. / Sequencing interval situations and related games. In: Central European Journal of Operations Research. 2013 ; Vol. 21, No. 1. pp. 225-236.
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Alparslan-Gok, SZ, Brânzei, R, Fragnelli, V & Tijs, SH 2013, 'Sequencing interval situations and related games' Central European Journal of Operations Research, vol. 21, no. 1, pp. 225-236.

Sequencing interval situations and related games. / Alparslan-Gok, S.Z.; Brânzei, R.; Fragnelli, V.; Tijs, S.H.

In: Central European Journal of Operations Research, Vol. 21, No. 1, 2013, p. 225-236.

Research output: Contribution to journalArticleScientificpeer-review

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AB - Uncertainty accompanies almost every situation in real world and it influences our decisions. In sequencing situations it may affect parameters used to determine an optimal order in the queue, and consequently the decision of whether (or not) to rearrange the queue by sharing the realized cost savings. This paper extends the analysis of one-machine sequencing situations and their related cooperative games to a setting with interval data, i.e. when the agents’ costs per unit of time and/or processing time in the system lie in intervals of real numbers obtained by forecasting their values. The question addressed here is: How to determine an optimal order (if the initial order in the queue is not so) and which approach should be used to motivate the agents to adopt the optimal order? This question is an important one that deserves attention both in theory and practice.

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Alparslan-Gok SZ, Brânzei R, Fragnelli V, Tijs SH. Sequencing interval situations and related games. Central European Journal of Operations Research. 2013;21(1):225-236.