Abstract
The paper considers the two-machine flow shop and open shop scheduling problems to minimize the makespan, provided that one of the machines is subject to maintenance, which has to start within a prescribed time window. In the case of the flow shop, maintenance is performed on the second machine. A non-resumable setting is considered, i.e., if a job cannot be completed prior to the maintenance, it must restart from scratch after the maintenance. For each of these NP-hard problems we develop a 3/2–approximation algorithm.
| Original language | English |
|---|---|
| Pages (from-to) | 388-400 |
| Number of pages | 13 |
| Journal | European Journal of Operational Research |
| Volume | 271 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Dec 2018 |
Bibliographical note
Publisher Copyright:© 2018 Elsevier B.V.
Keywords
- Approximation algorithm
- Flow shop
- Machine maintenance start window
- Open shop
- Scheduling
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