Approximation schemes for two-agent scheduling on parallel machines

Two models of two-agent scheduling problem on identical machines are considered in this paper. In both models, the goal is to minimize the makespan and the total completion time of agent A respectively, subject to an upper bound on the makespan of agent B. We prove that these two problems are NP-har...

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Bibliographic Details
Published in:Theoretical computer science Vol. 468; pp. 114 - 121
Main Authors: Zhao, Kejun, Lu, Xiwen
Format: Journal Article
Language:English
Published: Elsevier B.V 14.01.2013
Subjects:
Agent scheduling
Algorithm
Dynamic programming
Fully polynomial time approximation scheme
Parallel machines
Parallel machines
Fully polynomial time approximation scheme
Dynamic programming
Algorithm
Agent scheduling
ISSN:0304-3975, 1879-2294
Online Access:Get full text
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Summary:Two models of two-agent scheduling problem on identical machines are considered in this paper. In both models, the goal is to minimize the makespan and the total completion time of agent A respectively, subject to an upper bound on the makespan of agent B. We prove that these two problems are NP-hard and can be solved in pseudo-polynomial time. Furthermore, we design the fully polynomial time approximation schemes for both problems, respectively.
ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2012.11.002