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total tardiness.

RAIRO - Operations Research (1)

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On Minimizing Total Tardiness in a Serial Batching Problem
Philippe Baptiste, Antoine Jouglet
Journal:

RAIRO - Operations Research / Volume 35 / Issue 1 / January 2001

Published online by Cambridge University Press:

15 August 2002, pp. 107-115

Print publication:

January 2001
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We study the problem of scheduling jobs on a serial batching machineto minimize total tardiness. Jobs of the same batch start and arecompleted simultaneously and the length of a batch equals the sum ofthe processing times of its jobs. When a new batch starts, a constantsetup time s occurs. This problem 1| s-batch| ∑Ti isknown to be NP-Hard in the ordinary sense. In this paper we show thatit is solvable in pseudopolynomial time by dynamic programming.