no. 1
On minimizing total tardiness in a serial batching problem
RAIRO - Operations Research - Recherche Opérationnelle, Tome 35 (2001) no. 1, pp. 107-115

We study the problem of scheduling jobs on a serial batching machine to minimize total tardiness. Jobs of the same batch start and are completed simultaneously and the length of a batch equals the sum of the processing times of its jobs. When a new batch starts, a constant setup time s occurs. This problem 1|s-batch|∑T i is known to be NP-Hard in the ordinary sense. In this paper we show that it is solvable in pseudopolynomial time by dynamic programming.

Classification : 90B35, 90C39, 90C27
Keywords: scheduling, batching, dynamic programming, total tardiness 
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     title = {On minimizing total tardiness in a serial batching problem},
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     year = {2001},
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Baptiste, Philippe; Jouglet, Antoine. On minimizing total tardiness in a serial batching problem. RAIRO - Operations Research - Recherche Opérationnelle, Tome 35 (2001) no. 1, pp. 107-115. https://www.numdam.org/item/RO_2001__35_1_107_0/

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