EPTAS for parallel identical machine scheduling with time restrictions

G. Jaykrishnan; Asaf Levin

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arXiv · 2111.06692

EPTAS for parallel identical machine scheduling with time restrictions

G. Jaykrishnan·Asaf Levin

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Abstract

We consider the non-preemptive scheduling problem on identical machines where there is a parameter B and each machine in every unit length time interval can process up to B different jobs. The goal function we consider is the makespan minimization and we develop an EPTAS for this problem. Prior to our work a PTAS was known only for the case of one machine and constant values of B, and even the case of non-constant values of B on one machine was not known to admit a PTAS.

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G. Jaykrishnan, Asaf Levin. 2021-11-12. EPTAS for parallel identical machine scheduling with time restrictions. https://arxiv.org/abs/2111.06692

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