Single‐ and multiple‐processor models for minimizing completion time variance
- 1 February 1986
- journal article
- research article
- Published by Wiley in Naval Research Logistics Quarterly
- Vol. 33 (1) , 49-54
- https://doi.org/10.1002/nav.3800330105
Abstract
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.This publication has 2 references indexed in Scilit:
- Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling ProblemOperations Research, 1982
- Minimizing the average deviation of job completion times about a common due dateNaval Research Logistics Quarterly, 1981