Further Bounds on Preemptive Job Shop Scheduling with Two Machines

We consider the preemptive job shop scheduling problem with two machines, with the objective to minimize the makespan. We present an algorithm that finds a schedule of length at most P_max/2 greater than the optimal schedule length, where P_max is the length of the longest job.

By: Eric J. Anderson, T. S. Jayram,Tracy Kimbrel

Published in: Computing , volume 67, (no 1), pages 83-90 in 2001

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