Approximation schemes for two-machine flow shop scheduling with two agents

作者:Luo Wenchang; Chen Lin; Zhang Guochuan*
来源:Journal of Combinatorial Optimization, 2012, 24(3): 229-239.
DOI:10.1007/s10878-011-9378-2

摘要

In this paper we consider two-machine flow shop scheduling with two agents. Two models are investigated. One is the weighted-sum optimization model and the other is the constrained optimization model. For the former, we show that it is weakly NP-hard and propose a fully polynomial time approximation scheme. For the latter, we also show the problem is weakly NP-hard. With violating the constraint a factor of epsilon a fully polynomial time approximation scheme is provided.