A PTAS for single-machine scheduling with release dates and job delivery to minimize makespan
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 4, pp. 1261-1266.

We consider the single-machine scheduling problem with release dates and job delivery to minimize makespan. Preemption is not allowed in the processing of the jobs. All jobs are first processed on a single machine and then delivered by a capacitated vehicle to a single customer. The vehicle can deliver at most c ≥ 1 jobs in each shipment. The round-trip transportation time between the machine and customer is a constant T > 0. The problem was proved to be strongly NP-hard and a 3/2-approximation algorithm was presented in the literature. In this paper we provide a polynomial-time approximation scheme (PTAS) for the problem.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018097
Classification : 90B35
Mots-clés : Scheduling, job delivery, polynomial-time approximation scheme
Lu, Lingfa 1 ; Zhang, Liqi 1

1 
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     title = {A {PTAS} for single-machine scheduling with release dates and job delivery to minimize makespan},
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     publisher = {EDP-Sciences},
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Lu, Lingfa; Zhang, Liqi. A PTAS for single-machine scheduling with release dates and job delivery to minimize makespan. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 4, pp. 1261-1266. doi : 10.1051/ro/2018097. http://archive.numdam.org/articles/10.1051/ro/2018097/

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