| Issue |
RAIRO-Oper. Res.
Volume 35, Number 1, January March 2001
|
|
|---|---|---|
| Page(s) | 107 - 115 | |
| DOI | https://doi.org/10.1051/ro:2001105 | |
| Published online | 15 August 2002 | |
On Minimizing Total Tardiness in a Serial Batching Problem
CNRS, UMR 6599 ,
Université de Technologie de Compiègne,
Centre de Recherches de Royallieu,
60205 Compiègne Cedex, France.
Received:
May
2000
Accepted:
November
2000
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 | ∑Ti 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.
Mathematics Subject Classification: 90B35 / 90C39 / 90C27
Key words: Scheduling / batching / dynamic programming / total tardiness.
© EDP Sciences, 2001
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