Abstract | ||
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We study a class of due-window assignment problems. The objective is to find the job sequence and the window starting time and size, such that the total cost of earliness, tardiness and due-window is minimized. The study assumes unit-time jobs, and considers settings of a single machine and of parallel identical machines. Both the due-window starting time and size are decision variables. For the single machine setting, we study a complete set of problems consisting of all possible combinations of the decision variables and four cost factors (earliness, tardiness, due-window size and due-window starting time). For parallel identical machines, we study a complete set of problems consisting of all possible combinations of the decision variables and three cost factors (earliness, tardiness and due-window size). All the problems are shown to be solvable in no more than O(n^3) time, where n is the number of jobs. |
Year | DOI | Venue |
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2013 | 10.1016/j.amc.2013.05.045 | Applied Mathematics and Computation |
Keywords | Field | DocType |
possible combination,cost factor,complete set,parallel identical machine,unit-time job,due-window size,due-window assignment problem,single machine,total cost,decision variable,single machine setting,assignment problem,scheduling | Decision variables,Mathematical optimization,Tardiness,Scheduling (computing),Assignment problem,Factor cost,Total cost,Mathematics | Journal |
Volume | ISSN | Citations |
220 | 0096-3003 | 6 |
PageRank | References | Authors |
0.50 | 19 | 2 |
Name | Order | Citations | PageRank |
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Enrique Gerstl | 1 | 63 | 7.72 |
Gur Mosheiov | 2 | 1073 | 105.02 |