Geodesic
O(logm)-approximation for the routing open shop problem
Kononov, Alexander1, 2 
1 Sobolev Institute of Mathematics, Russia.
2 Novosibirsk State University, Russia
RAIRO - Operations Research - Recherche Opérationnelle, New challenges in scheduling theory, Tome 49 (2015) no. 2, pp. 383-391

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We consider the routing open shop problem which is a generalization of the open shop and the metric travelling salesman problems. The jobs are located in some transportation network, and the machines travel on the network to execute the jobs in the open shop environment. The machines are initially located at the same node (depot) and must return to the depot after completing all jobs. The goal is to find a non-preemptive schedule with the minimum makespan. We present a new polynomial-time approximation algorithm with worst-case performance guarantee O(logm), where m is the number of machines.

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DOI : 10.1051/ro/2014051
Classification : 90B06, 90B35, 68W25
Keywords: Open shop, routing, approximation algorithms

Kononov, Alexander 1, 2

1 Sobolev Institute of Mathematics, Russia.
2 Novosibirsk State University, Russia 
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     author = {Kononov, Alexander},
     editor = {Blazewicz, Jacek and Pesch, Erwin and Philipps, Cynthia and Trystram, Denis and Zhang, Guochuan},
     title = {$O(log\hspace{0.167em}m)$-approximation for the routing open shop problem},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {383--391},
     publisher = {EDP-Sciences},
     volume = {49},
     number = {2},
     year = {2015},
     doi = {10.1051/ro/2014051},
     zbl = {1310.90014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2014051/}
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Kononov, Alexander. $O(log\hspace{0.167em}m)$-approximation for the routing open shop problem. RAIRO - Operations Research - Recherche Opérationnelle, New challenges in scheduling theory, Tome 49 (2015) no. 2, pp. 383-391. doi: 10.1051/ro/2014051

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