A New Cost Allocation Approach on One Machine Sequencing Games

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Abstract:

One machine sequencing situation is introduced and cooperative games theory is used to allocate cost savings when agents cooperate and gain some cost savings. One machine games is proved to be balanced and have a nonempty core. A new cost allocation, the proportion gain allocation approach, is proposed and proved to give a core allocation for one sequencing games. The results in examples show that the proportion gain allocation approach are fair and reasonable for one machine games.

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3731-3735

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October 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] S. Tijs and T. Driessen: Management Science Vol. 32 (1986) 1015-1028.

Google Scholar

[2] I. Curiel, G. Pederzoli and S. Tijs: European Journal of Operational Research Vol. 40 (1989), pp.344-351.

DOI: 10.1016/0377-2217(89)90427-x

Google Scholar

[3] I. Curiel, J. Potters and R. Prasad: Operations Research Vol. 42 (1994) , pp.566-568.

Google Scholar

[4] H. Hamers, P. Borm and S. Tijs: Mathematical Programming Vol. 69 (1995) , pp.471-483.

Google Scholar

[5] P. Borm, G. Fiestras and H. Hamers: European Journal of Operational Research Vol. 136 (2002) , pp.616-634.

Google Scholar

[6] H. Hamers, F. Klijn and B. Velzen: Annals of Operations Research Vol. 137 (2005) , pp.161-175.

Google Scholar

[7] V. Velzen: European Journal of Operational Research Vol. 172 (2006) , pp.64-85.

Google Scholar

[8] A. Estevez, M. Mosquera, P. Borm: Journal of Scheduling Vol. 11 (2008) , pp.433-447.

Google Scholar

[9] P. Calleja: Annals of Operations Research Vol. 109 (2002) , pp.265-277.

Google Scholar

[10] Y. P. Zhou and X. S. Gu: CIESC Journal Vol. 61 (2010) , pp.1983-1987, in Chinese.

Google Scholar

[11] I. Curiel: International Journal of Game Theory Vol. 39 (2010) , pp.151-162.

Google Scholar

[12] W. Simth: Naval Research Logistics Quarterly Vol. 3 (1956) , pp.59-66.

Google Scholar

[13] L. Sharply: Annals of Mathematics Studies Vol. 28 (1953) , pp.307-318.

Google Scholar

[14] L. Breton, M.G. Owen and S. Weber: International Journal of Game Theory Vol. 20 (1992) , pp.419-427.

Google Scholar