We study two single-machine scheduling problems: minimizing the sum of weighted earliness, tardiness and due date assignment penalties and minimizing the weighted number of tardy jobs and due date assignment costs. We prove that both problems are strongly NP-hard and give polynomial solutions for so
Two due date assignment problems with position-dependent processing time on a single-machine
โ Scribed by Chou-Jung Hsu; Suh-Jenq Yang; Dar-Li Yang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 193 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0360-8352
No coin nor oath required. For personal study only.
โฆ Synopsis
The focus of this study is to analyze single-machine scheduling and due date assignment problems with position-dependent processing time. Two generally positional deterioration models and two frequent due date assignment methods are investigated. The objective functions include the cost of changing the due dates, the total cost of positional weight earliness, and the total cost of the discarded jobs that cannot be completed by their due dates. We conclude that the problems are polynomial time solvable. Significantly enough, after assessing the special case of each problem, this research found out that they can be optimally solved by lower order algorithms.
๐ SIMILAR VOLUMES
In this paper we consider a due-date assignment and single machine scheduling problem in which the jobs have compressible processing times. Two models are defined according to the due-date assignment methods used. The first model applies the common (constant) due-date assignment method to assign the
This paper considers the problem of optimal constant due-date assignment and sequencing of jobs in a single-machine shop. We formulate the problem as a general constrained optimization problem and apply the Kuhn-Tucker conditions to find the optimal solution which is shown to be independent of the j