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A Fast Algorithm for Multi-Machine Scheduling Problems with Jobs of Equal Processing Times

Abstract

Consider the problem of scheduling a set of tasks of length $p$ without preemption on $m$ identical machines with given release and deadline times. We present a new algorithm for computing the schedule with minimal completion times and makespan. The algorithm has time complexity $O(\min(1, \frac{p}{m})n^2)$ which improves substantially over the best known algorithm with complexity $O(mn^2)$.
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Dates and versions

hal-00573624 , version 1 (05-03-2011)

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  • HAL Id : hal-00573624 , version 1

Cite

Alejandro Lopez-Ortiz, Claude-Guy Quimper. A Fast Algorithm for Multi-Machine Scheduling Problems with Jobs of Equal Processing Times. Symposium on Theoretical Aspects of Computer Science (STACS2011), Mar 2011, Dortmund, Germany. pp.380-391. ⟨hal-00573624⟩

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