Alternative Formulation of the Job Shop Problem with Due Dates

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Abstract
The classical formulation of the static job shop scheduling problem with job due dates implies that the question of interest to the manager is: What is the best that can be done to meet due dates with fixed resources? Here, two alternative formulations of the problem are proposed; one because of its practical appeal, the other because of its methodological appeal. The latter is used to develop a multi-pass heuristic scheduling procedure aimed at providing a practical tool for attacking any of the three formulations of the problem. This paper describes the basic structure of the scheduling procedure, the machine coding of a specific version of the procedure, and computational experience with a set of test problems ranging in size up to fourteen jobs and seven machines.

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