Lower bounds for the job-shop scheduling problem on multi-purpose machines
β Scribed by Bernd Jurisch
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 765 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The paper considers the open shop scheduling problem to minimize the makespan, provided that one of the machines has to process the jobs according to a given sequence. We show that in the preemptive case the problem is polynomially solvable for an arbitrary number of machines. If preemption is not a
In this paper, we are interested in job-shop scheduling problems with several unrelated parallel machines and precedence constraints between the operations of the jobs (with either linear or non-linear process routings). The objective is to minimize the maximum completion time (Cmax). We propose an
We consider a polynomial-time algorithm for the following scheduling problem: Given two machines, where each machine can process at most one job at a time; a set of jobs, where each job can start on or after its release date and consists of a chain of unit-time operations such that the machines have
A well-known result of Tarjan states that for all n and m n there exists a sequence of n&1 Union and m Find operations that needs at least 0(m . :(m, n)) execution steps on a pointer machine that satisfies the separation condition. Later the bound was extended to 0(n+m. :(m, n)) for all m and n. In