Strongly Fully Polynomial Time Approximation Scheme for the two-parallel capacitated machines scheduling problem
by Imed Kacem; Yann Lanuel; Myriam Sahnoune
International Journal of Planning and Scheduling (IJPS), Vol. 1, No. 1/2, 2011

Abstract: We study the n-job two-parallel machines scheduling problem with the aim of minimising the total flow-time. In this problem, instead of allowing both machines to be continuously available as it is often assumed in the literature, we consider that one of the machines is available for a specified period of time after which it can no longer process any job. On the basis of the modification of an exact algorithm execution, we establish the existence of a strongly Fully Polynomial Time Approximation Scheme (FPTAS) for the above-mentioned problem.

Online publication date: Sat, 31-Dec-2011

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