Title
The routing open-shop problem on a network: Complexity and approximation
Abstract
In the routing open-shop problem, jobs are located at nodes of an undirected transportation network, and the machines travel on the network to execute 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 the jobs. It is required to find a nonpreemptive schedule that minimizes the makespan. We prove that the problem is NP-hard even on a two-node network with two machines, and even on a two-node network with two jobs and m machines. We develop polynomial-time approximation heuristics and obtain bounds on their approximation performance.
Year
DOI
Venue
2006
10.1016/j.ejor.2005.01.034
European Journal of Operational Research
Keywords
Field
DocType
Heuristics,Scheduling,Approximation
Open shop,Flow network,Mathematical optimization,Job shop scheduling,Network complexity,Scheduling (computing),Job shop,Heuristics,Time complexity,Mathematics,Operations management
Journal
Volume
Issue
ISSN
173
2
0377-2217
Citations 
PageRank 
References 
9
0.70
6
Authors
3
Name
Order
Citations
PageRank
Igor Averbakh169954.76
O. Berman21604231.36
Ilya Chernykh3214.68