Job Shop Scheduling with Unit Processing Times

Authors:
Nikhil Bansal;Tracy Kimbrel;Maxim Sviridenko
Affiliations:
IBM T. J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598, USA;IBM T. J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598, USA;IBM T. J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598, USA
Venue:
Mathematics of Operations Research
Year:
2006

Citing 9
Cited 3

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On some geometric methods in scheduling theory: a survey

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NP-hardness of shop-scheduling problems with three jobs

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Makespan minimization in preemptive two machine job shops

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Expected Length of the Longest Probe Sequence in Hash Code Searching

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A new algorithm approach to the general Lovász local lemma with applications to scheduling and satisfiability problems (extended abstract)

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Tighter bounds on preemptive job shop scheduling with two machines

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Better Approximation Guarantees for Job-Shop Scheduling

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Makespan Minimization in Job Shops: A Linear Time Approximation Scheme

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Hardness of Approximating Flow and Job Shop Scheduling Problems

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High-multiplicity cyclic job shop scheduling

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An optimal method for the preemptive job shop scheduling problem

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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 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.