Abstract
We extend a classical single-machine due-window assignment problem to the case of position-dependent processing times. In addition to the standard job scheduling decisions, one has to assign a time interval (due-window), such that jobs completed within this interval are assumed to be on time and not penalized. The cost components are: total earliness, total tardiness and due-window location and size. We introduce an O(n3) solution algorithm, where n is the number of jobs. We also investigate several special cases, and examine numerically the sensitivity of the solution (schedule and due-window) to the different cost parameters.
Original language | English |
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Pages (from-to) | 997-1003 |
Number of pages | 7 |
Journal | Journal of the Operational Research Society |
Volume | 59 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2008 |
Bibliographical note
Funding Information:Acknowledgement— This paper was supported in part by the Recanati Fund of the School of Business Administration, The Hebrew University, Jerusalem, Israel.
Keywords
- Due-window
- Earliness-tardiness
- Position-dependent processing times
- Scheduling