This article deals with the problem of scheduling jobs with random processing times on single machine in order to minimize the expected variance of job completion times. SutTicient conditions for the existence of V-shaped optimal sequences are derived separately for general and ordered job processin
Single- and multiple-processor models for minimizing completion time variance
โ Scribed by Nicholas G. Hall
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 283 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
โฆ Synopsis
This article concerns the scheduling of n jobs around a common due date, so as to minimize the average total earliness plus total lateness of the jobs. Optimality conditions for the problem are developed, based on its equivalence to an easy scheduling problem. It seems that this problem inherently has a huge number of optimal solutions and an algorithm is developed to find many of them. The model is extended to allow for the availability of multiple parallel processors and an efficient algorithm is developed for that problem. In this more general case also, the algorithm permits great flexibility in finding an optimal schedule.
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