Using dual approximation algorithms for scheduling problems theoretical and practical results
Journal of the ACM (JACM)
Makespan minimization in job shops: a polynomial time approximation scheme
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Open Shop Scheduling to Minimize Finish Time
Journal of the ACM (JACM)
`` Strong '' NP-Completeness Results: Motivation, Examples, and Implications
Journal of the ACM (JACM)
A polynomial time approximation scheme for the two-stage multiprocessor flow shop problem
Theoretical Computer Science
Approximability of flow shop scheduling
FOCS '95 Proceedings of the 36th Annual Symposium on Foundations of Computer Science
Approximation algorithms for the multiprocessor open shop scheduling problem
Operations Research Letters
Two-stage proportionate flexible flow shop to minimize the makespan
Journal of Combinatorial Optimization
Approximation algorithms for parallel open shop scheduling
Information Processing Letters
A new three-machine shop scheduling: complexity and approximation algorithm
Journal of Combinatorial Optimization
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We investigate the multiprocessor multi-stage open shop and flow shop scheduling problem. In both problems, there are s stages each consisting of a number mi of parallel identical machines for 1 ≤ i ≤ s. Each job consists of s operations with one operation for each stage. The goal is to find a non-preemptive schedule that minimizes the makespan. We propose polynomial time approximation schemes for the multiprocessor open shop and flow shop scheduling problem when the number of stages s is constant and the numbers of machines mi are non-constant.