Scheduling two interfering job sets on uniform parallel machines with makespan and cost functions

Abstract : We consider the problem of scheduling two jobs A and B on a set of m uniform parallel machines. Each job is assumed to be independent from the other: job A and job B are made up of n_A and n_B operations, respectively. Each operation is defined by its processing time and possibly additional data such as a due date, a weight, etc., and must be processed on a single machine. All machines are uniform, i.e. each machine has its own processing speed. Notice that we consider the special case of equal-size operations, i.e. all operations have the same processing time. The scheduling of operations of job A must be achieved to minimize a general cost function F_A , whereas it is the makespan that must be minimized when scheduling the operations of job B. These kind of problems are called multiple agent scheduling prob- lems. As we are dealing with two conflicting criteria, we focus on the calculation of strict Pareto optima for F_A and C^B_max criteria. In this paper we consider different min-max and min-sum versions of function F_A and provide special properties as well as polynomial time algorithms.
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Journal of Scheduling, Springer Verlag, 2011, 14 (5), pp.471-481. 〈10.1007/s10951-010-0201-1〉
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Contributeur : Vincent T'Kindt <>
Soumis le : mardi 10 juin 2014 - 16:50:44
Dernière modification le : mercredi 21 mars 2018 - 10:54:09

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Donatas Elvikis, Horst Hamacher, Vincent T'Kindt. Scheduling two interfering job sets on uniform parallel machines with makespan and cost functions. Journal of Scheduling, Springer Verlag, 2011, 14 (5), pp.471-481. 〈10.1007/s10951-010-0201-1〉. 〈hal-01003801〉

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