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Nondominated Schedules for a Job-Shop with Two Competing Users
Authors:A Agnetis  PB Mirchandani  D Pacciarelli  A Pacifici
Institution:(1) Dipartimento di Ingegneria dell'Informazione, Università di Siena, via Roma 56 -, 53xo100 Siena, Italy;(2) Department of Systems and Industrial Engineering, The University of Arizona, Tucson, AZ 85721, USA;(3) Dipartimento di Informatica e Automazione, Università di Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy;(4) Dipartimento di Informatica, Sistemi e Produzione, Università di Roma ldquoTor Vergatardquo, via di Tor Vergata 110, 00133 Roma, Italy
Abstract:We consider the scenario where two users compete to perform their respective jobs on a common set of resources. The job for each user has a due-date and the cost function associated with the due-date is quasi-convex (i.e., it has a single local minimum). We characterize the set of nondominated schedules over which the users may negotiate and develop a polynomial algorithm to find this nondominated set.
Keywords:scheduling  negotiation  coordination  job shop  nonregular objective function  Pareto-optimality
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