We consider the problem of scheduling a set of tasks whose precedence relation is representable as a directed forest, on two identical machines, in order to minimize the total completion time. A new heuristic algorithm is presented which provides a l/4 approximate solution. This algorithm is based o
A simple semi on-line algorithm for P2//Cmax with a buffer
β Scribed by Guochuan Zhang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 355 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0020-0190
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β¦ Synopsis
In this paper, we investigate a semi on-line version of the parallel machine scheduling problem. We are given a buffer of length k which is available to maintain k jobs. The jobs arrive one by one and can be temporarily assigned to the buffer if the buffer is not full. The goal is to assign all jobs to the identical machines such that the makespan is minimized. For two machines, Kellerer et al. ( 1995) showed that no heuristic for this problem can have a worst-case ratio lower than 4/3. This paper presents a simple algorithm with worst-case ratio 4/3 for PZ//C max with a buffer of length 1. @
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