On Optimal Common Due-Date Determination
- 1 January 1986
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Management Mathematics
- Vol. 1 (1) , 39-43
- https://doi.org/10.1093/imaman/1.1.39
Abstract
Given a set of n independent jobs to be processed on a single machine, the problem is to determine the optimal constant flow allowance for the CON due-date assignment method and the optimal job sequence to minimize an average missed due-date cost. A linear programming formulation of the problem is proposed and the optimal due-date is obtained by solving the LP dual problem. It is shown that the optimal job sequence can be determined analytically only under a special circumstance. Finally, a numerical example is given to demonstrate how the results can be applied to find the optimal solutions.Keywords
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