An Improved Algorithm for a Hybrid Flow-shop Problem in Graphics Processing

This paper considers a variant of scheduling problem of minimizing makespan in a two-machine flow-shop. In this variant, each job has two tasks. The first task can be processed on either machine while the second task must be processed on the second machine and cannot be processed unless the first task has been processed. The second task is allowed to be processed at any time after completing the first task. We present an improved polynomial time approximation algorithm with worst-case ratio of 3/2, which is 20 % better than the greedy-like algorithm in the average case.

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