Hybrid flow shop scheduling: a survey
Computers and Industrial Engineering
A polynomial time approximation scheme for the two-stage multiprocessor flow shop problem
Theoretical Computer Science
Polynomial Time Approximation Schemes for the Multiprocessor Open and Flow Shop Scheduling Problem
STACS '00 Proceedings of the 17th Annual Symposium on Theoretical Aspects of Computer Science
Proportionate flexible flow shop scheduling via a hybrid constructive genetic algorithm
Expert Systems with Applications: An International Journal
Scheduling: Theory, Algorithms, and Systems
Scheduling: Theory, Algorithms, and Systems
Computers and Operations Research
Minimizing makespan in hybrid flowshops
Operations Research Letters
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We consider a two-stage flexible flow shop problem with a single machine at one stage and m identical machines at the other stage, where the processing times of each job at both stages are identical. The objective is to minimize the makespan. We describe some optimality conditions and show that the problem is NP-hard when m is fixed. Finally, we present an approximation algorithm that has a worst-case performance ratio of $\frac{5}{4}$ for m=2 and $\frac{\sqrt{1+m^{2}}+1+m}{2m}$ for m驴3.