On the Convexity of Precedence Sequencing Games |
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Authors: | Herbert?Hamers Email author" target="_blank">Flip?KlijnEmail author Bas?van?Velzen |
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Institution: | (1) Center and Department of Econometrics and Operational Research, Tilburg University, The Netherlands;(2) Institut d'Anàlisi Econòmica (CSIC), Campus UAB, 08193 Bellaterra (Barcelona), Spain;(3) Center and Department of Econometrics and Operational Research, Tilburg University, The Netherlands |
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Abstract: | In this paper we study a class of cooperative sequencing games that arise from one-machine sequencing situations in which
chain precedence relations are imposed on the jobs. We show that these sequencing games are convex if the initial order of
the jobs is a concatenation of chains.
F. Klijn's research is supported by a Ramón y Cajal contract of the Spanish Ministerio de Ciencia y Tecnología. The main part of F. Klijn's work was supported by a Marie Curie Fellowship of the European Community programme “Improving
Human Research Potential and the Socio-economic Knowledge Base” under contract number HPMF-CT-2001-01232, carried out at the
Departament d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona. His work is also partially supported by
Research Grant BEC2002-02130 from the Spanish Ministerio de Ciencia y Tecnología and by the Barcelona Economics Program of CREA |
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Keywords: | cooperative games sequencing situations |
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