Abstract
We study two due date assignment problems in various multi-machine scheduling environments. We assume that each job can be assigned an arbitrary non-negative due date, but longer due dates have higher cost. The first problem is to minimize a cost function, which includes earliness, tardiness and due date assignment costs. In the second problem, we minimize an objective function which includes the number of tardy jobs and due date assignment costs. We settle the complexity of many of these problems by either showing that they are NP -hard or by providing a polynomial time solution for them. We also include approximation and non-approximability results for several parallel-machine problems.
Original language | English |
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Pages (from-to) | 217-228 |
Number of pages | 12 |
Journal | Journal of Scheduling |
Volume | 11 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 2008 |
Externally published | Yes |
Keywords
- Approximation
- Complexity
- Due date assignment
- Multi-machine scheduling
ASJC Scopus subject areas
- Software
- Engineering (all)
- Management Science and Operations Research
- Artificial Intelligence