An improved algorithm for due-window assignment on parallel identical machines with unit-time jobs

Enrique Gerstl; Gur Mosheiov

doi:10.1016/j.ipl.2013.06.013

An improved algorithm for due-window assignment on parallel identical machines with unit-time jobs

Enrique Gerstl^*, Gur Mosheiov

^*Corresponding author for this work

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

6 Scopus citations

Abstract

We study a due-window assignment problem on parallel identical machines, with unit processing time jobs. The objective function is minimum total cost, consisting of earliness, tardiness, due-window starting time and due-window size. A recent paper (Janiak et al., 2012) introduced a solution algorithm requiring O(ⁿ⁵/^m2) time, where n is the number of jobs, and m is the number of machines. We propose a significantly faster procedure, requiring O(ⁿ³) only.

Original language	English
Pages (from-to)	754-759
Number of pages	6
Journal	Information Processing Letters
Volume	113
Issue number	19-21
DOIs	https://doi.org/10.1016/j.ipl.2013.06.013
State	Published - 2013

Bibliographical note

Funding Information:
This paper was supported in part by The Charles Rosen Chair of Management and the Recanati Fund of The School of Business Administration, The Hebrew University, Jerusalem, Israel.

Keywords

Assignment problem
Due-window
Earliness-tardiness
Parallel machines
Scheduling

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10.1016/j.ipl.2013.06.013

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abstract = "We study a due-window assignment problem on parallel identical machines, with unit processing time jobs. The objective function is minimum total cost, consisting of earliness, tardiness, due-window starting time and due-window size. A recent paper (Janiak et al., 2012) introduced a solution algorithm requiring O(n5/m2) time, where n is the number of jobs, and m is the number of machines. We propose a significantly faster procedure, requiring O(n3) only.",

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AU - Mosheiov, Gur

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AB - We study a due-window assignment problem on parallel identical machines, with unit processing time jobs. The objective function is minimum total cost, consisting of earliness, tardiness, due-window starting time and due-window size. A recent paper (Janiak et al., 2012) introduced a solution algorithm requiring O(n5/m2) time, where n is the number of jobs, and m is the number of machines. We propose a significantly faster procedure, requiring O(n3) only.

KW - Assignment problem

KW - Due-window

KW - Earliness-tardiness

KW - Parallel machines

KW - Scheduling

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JO - Information Processing Letters

JF - Information Processing Letters

IS - 19-21

ER -

An improved algorithm for due-window assignment on parallel identical machines with unit-time jobs

Abstract

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Keywords

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