Job shop scheduling with unit processing times

Job shop scheduling with unit processing times

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Article ID: iaor200934343
Country: United States
Volume: 31
Issue: 2
Start Page Number: 381
End Page Number: 389
Publication Date: May 2006
Journal: Mathematics of Operations Research
Authors: , ,
Keywords: job shop
Abstract:

We consider randomized algorithms for the preemptive job shop problem, or equivalently, the case in which all operations have unit length. We give an α–approximation for the case of two machines where α < 1.45, an improved approximation ratio of O(log m/log log m) for an arbitrary number m of machines, and the first (2 + ϵ)–approximation for a constant number of machines. The first result is via an approximation algorithm for a string matching problem that is of independent interest.

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