Repositorio UVigo

Proportionate flow shop games

Investigo Repository

Proportionate flow shop games

Estévez Fernández, Arantza; Mosquera Rodríguez, Manuel Alfredo; Borm, Peter; Hamers, Herbert
DATE : 2008-12
UNESCO SUBJECT : 1207.06 Teoría de Juegos ; 1207.13 Planificación


In a proportionate flow shop problem several jobs have to be processed through a fixed sequence of machines and the processing time of each job is equal on all machines. By identifying jobs with agents whose costs linearly depend on the completion time of their jobs and assuming an initial processing order on the jobs, we face two problems: the first is how to obtain an optimal order that minimizes the total processing cost, the second is how to allocate the cost savings obtained by ordering the jobs optimally. In this paper we focus on the allocation problem. PFS games are defined as cooperative games associated to proportionate flow shop problems. It is seen that PFS games have a nonempty core. Moreover, it is shown that PFS games are convex if the jobs are initially ordered in decreasing urgency. For this case an explicit game independent expression for the Shapley value is provided.

Show full item record

Files in this item

2013 Universidade de Vigo, Todos los derechos reservados
Calidad So9001