An important special case of the problem studied in arises when there are equal set-up times and equal job processing times. Computational complexity of this case was indicated to be open, however. I prove its NP-hardness.
Due-date assignment and maintenance activity scheduling problem
โ Scribed by Gur Mosheiov; Daniel Oron
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 171 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
โฆ Synopsis
In the scheduling problem addressed in this note we have to determine: (i) the job sequence, (ii) the (common) due-date, and (iii) the location of a rate modifying (maintenance) activity. Jobs scheduled before (after) the due-date are penalized according to their earliness (tardiness) value. The processing time of a job scheduled after the maintenance activity decreases by a job-dependent factor. The objective is minimum total earliness, tardiness and due-date cost. We introduce a polynomial (O(n 4 )) solution for the problem.
๐ SIMILAR VOLUMES
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
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