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Preemptive Scheduling of Equal Length Jobs on Two Machines to Minimize Mean Flow Time

Lee A. Herrbach, Joseph Y.-T. Leung

Operations Research · 1990 · Volume 38 · Issue 3

DOI: 10.1287/opre.38.3.487

Abstract

We give an O ( n log n ) time algorithm to preemptively schedule n equal-length jobs with release times on two identical, parallel machines so as to minimize the mean flow time. The complexity of the general problem of minimizing the mean weighted flow time is also reviewed, both for nonpreemptive and preemptive scheduling.

Keywords

production/scheduling: deterministic job shop scheduling, production/scheduling line balancing: mean weighted flow time

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