NP-complete scheduling problems
โ Scribed by J.D. Ullman
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 423 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
โฆ Synopsis
We show that the problem of finding an optimal schedule for a set of jobs is NPcomplete even in the following two restricted cases.
(1) All jobs require one time unit.
(2) All jobs require one or two time units, and there are only two processor resolving (in the negative a conjecture of R. L. Graham, Proc.
๐ SIMILAR VOLUMES
combinatorial optimization is an active field of research in Neural Networks. Since the first attempts to solve the travelling salesman problem with Hopfield nets several progresses have been made. I will present some Neural Network approximate solutions for NP-complete problems that have a sound ma
This paper deals with a two-machine preemptive openshop system processing a set of jobs with different ready dates. The problem of minimizing the mean flow time is known to be strongly NP-complete. We reprove this fact in an elementary way. @ 1997 Published by Elsevier Science B.V.
We present a proof of the NP-completeness of the problem to schedule n simultaneously available jobs on m parallel machines to minimize the maximum job completion time subject to no jobs being tardy.