The delivery man problem and cumulative matroids
Operations Research
Open Shop Scheduling to Minimize Finish Time
Journal of the ACM (JACM)
A heuristic for two-machine open-shop scheduling problem with transportation times
Discrete Applied Mathematics
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Improved approximation algorithms for routing shop scheduling
ISAAC'11 Proceedings of the 22nd international conference on Algorithms and Computation
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We consider the routing open shop problem being a generalization of the open shop and the metric travelling salesman problems. The jobs are located at nodes of 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 the jobs. It is required to find a non-preemptive schedule that minimizes the makespan. The problem is NP-hard even on a two-node network with two machines. We present new polynomial-time approximation algorithms with worst-case performance guarantees.