Open Shop Scheduling to Minimize Finish Time
Journal of the ACM (JACM)
A fast tabu search algorithm for the group shop scheduling problem
Advances in Engineering Software
Minimizing makespan in a two-stage system with flowshop and open shop
Computers and Industrial Engineering
A Complete 4-parametric complexity classification of short shop scheduling problems
Journal of Scheduling
A new three-machine shop scheduling: complexity and approximation algorithm
Journal of Combinatorial Optimization
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In this paper, we consider a two-machine shop scheduling problem consisting of two disjoint job subsets F and O. F is a set of the flow shop type jobs, while O is a set of the open shop type jobs. Our objective is to find the schedule minimizing the maximum completion time. For the case that O is empty, this problem reduces to a two-machine flow shop scheduling problem for which Johnson developed an optimal algorithm. Also for the case that F is empty, the problem reduces to a two-machine open shop scheduling problem for which there is an optimal algorithm developed by Gonzalez and Sahni. While for the case that both F and O are not empty, the situation is complicated in the sense that the preceding two cases are not extensible to our case. We give the optimal algorithm for our nontrivial case.