Two-stage flowshop earliness and tardiness machine scheduling involving a common due window

Two-stage flowshop earliness and tardiness machine scheduling involving a common due window

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Article ID: iaor2005174
Country: Netherlands
Volume: 90
Issue: 3
Start Page Number: 421
End Page Number: 434
Publication Date: Jan 2004
Journal: International Journal of Production Economics
Authors: , ,
Abstract:

This paper studies a non-preemptive two-stage flowshop scheduling problem to minimize the earliness and tardiness under the environment of a common due window. The window size and the window location are considered to be given parameters. The just-in-time problem exists naturally and has many practical applications. The problem is shown to be NP-complete in the strong sense. We develop a branch and bound algorithm and a heuristic to solve the problems. We conduct the computational experiments to test the performances of the algorithm. A strong lower bound is derived for the branch and bound algorithm that can efficiently solve 15 jobs problem for about 5 minutes. The heuristic is shown to be efficient and effective, which can solve the problem of 150 jobs for about 20 seconds and provide near-optimal solution. We justify that the heuristic is an excellent solution approach for large problem instances. We also show that four special cases are either polynomial solvable or NP-complete in the ordinary sense.

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