A due-window assignment problem with position-dependent processing times

G. Mosheiov; A. Sarig

doi:10.1057/palgrave.jors.2602439

A due-window assignment problem with position-dependent processing times

G. Mosheiov^*
, A. Sarig

^*Corresponding author for this work

BA Business Department

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

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
Pages (from-to)	997-1003
Number of pages	7
Journal	Journal of the Operational Research Society
Volume	59
Issue number	7
DOIs	https://doi.org/10.1057/palgrave.jors.2602439
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

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10.1057/palgrave.jors.2602439

Cite this

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AB - 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.

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A due-window assignment problem with position-dependent processing times

Abstract

Bibliographical note

Keywords

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