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On the minmax common-due-date problem: extensions to position-dependent processing times, job rejection, learning effect, uniform machines and flowshops
journal contribution
posted on 2020-03-19, 08:24 authored by Gur Mosheiov, Sharon PruwerA classical single machine minmax common due-date assignment (CON) problem is studied. The problem is extended (independently) to the following settings: (1) general position-dependent job processing times are assumed, and an efficient O(n4) solution procedure is introduced; (2) the option of job rejection is allowed, and this case is shown to be solved in O(n5); (3) a deterioration effect is considered, and an O(n2) solution algorithm is proposed; (4) parallel uniform machines are considered; and (5) the machine setting is that of a permutation flowshop. The last two settings are known to be NP hard, and efficient heuristic procedures are introduced and shown numerically to produce very small optimality gaps.