The Supplying Chain Scheduling with the Cost Constraint and Subcontracting
We propose an analytical scheduling model with subcontracting. Each job can be processed either on a single machine at a manufacturer or outsourced to a subcontractor, possibly at a higher cost. For a given set of jobs, the decisions the manufacturer needs to make include the selection of a subset o...
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| Published in | Advances in Operations Research Vol. 2014; no. 2014; pp. 90 - 93 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cairo, Egypt
Hindawi Limiteds
01.01.2014
Hindawi Publishing Corporation John Wiley & Sons, Inc |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1687-9147 1687-9155 |
| DOI | 10.1155/2014/490987 |
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| Abstract | We propose an analytical scheduling model with subcontracting. Each job can be processed either on a single machine at a manufacturer or outsourced to a subcontractor, possibly at a higher cost. For a given set of jobs, the decisions the manufacturer needs to make include the selection of a subset of jobs to be outsourced and the schedule of all the jobs. The objective functions are to minimize the commonly used scheduling measures, subject to a constraint on the total production and subcontracting cost. We show the NP-hardiness for the problems with different objective functions and develop dynamic programming algorithms for solving them. |
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| AbstractList | We propose an analytical scheduling model with subcontracting. Each job can be processed either on a single machine at a manufacturer or outsourced to a subcontractor, possibly at a higher cost. For a given set of jobs, the decisions the manufacturer needs to make include the selection of a subset of jobs to be outsourced and the schedule of all the jobs. The objective functions are to minimize the commonly used scheduling measures, subject to a constraint on the total production and subcontracting cost. We show the NP-hardiness for the problems with different objective functions and develop dynamic programming algorithms for solving them. |
| Audience | Academic |
| Author | Yu, Liying Sun, Guo |
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| Cites_doi | 10.1016/S0167-5060(08)70356-X 10.1016/j.ijpe.2004.05.023 10.1287/opre.1040.0165 10.1287/mnsc.47.8.1081.10232 10.1080/02331939708844361 10.1016/j.ijpe.2010.08.011 10.1287/mnsc.45.7.954 10.1080/07408170801975057 10.1016/S0377-2217(99)00371-9 |
| ContentType | Journal Article |
| Copyright | Copyright © 2014 Guo Sun and Liying Yu. COPYRIGHT 2014 John Wiley & Sons, Inc. Copyright © 2014 Guo Sun and Liying Yu. Guo Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| References | (5) 1997; 42 (6) 1999; 45 (8) 2005; 53 (2) 2001; 128 (9) 1979; 5 (1) 2005; 98 (3) 2011; 129 (4) 2008; 40 (7) 2001; 47 Garey M. R. Johnson D. S. Computers and Intractability: A Guide to the Theory of NP-completeness 1979 San Francisco, Calif, USA Freeman MR519066 1 2 3 4 5 7 8 9 (10) 1979 |
| References_xml | – volume: 40 start-page: 1171 issue: 12 year: 2008 end-page: 1184 ident: 4 article-title: Scheduling with subcontracting options – volume: 98 start-page: 238 issue: 2 year: 2005 end-page: 250 ident: 1 article-title: A new approach to job shop scheduling problems with due date constraints considering operation subcontracts – volume: 45 start-page: 954 issue: 7 year: 1999 end-page: 971 ident: 6 article-title: Coordinating investment, production, and subcontracting – volume: 5 start-page: 287 year: 1979 end-page: 326 ident: 9 article-title: Optimization and approximation in deterministic sequencing and scheduling: a survey – reference: Garey M. R. Johnson D. S. Computers and Intractability: A Guide to the Theory of NP-completeness 1979 San Francisco, Calif, USA Freeman MR519066 – volume: 47 start-page: 1081 issue: 8 year: 2001 end-page: 1100 ident: 7 article-title: Capacity acquisition, subcontracting, and lot sizing – volume: 53 start-page: 328 issue: 2 year: 2005 end-page: 349 ident: 8 article-title: A production-inventory system with Markovian capacity and outsourcing option – volume: 128 start-page: 509 issue: 3 year: 2001 end-page: 531 ident: 2 article-title: A Study of simple rules for subcontracting in make-to-order manufacturing – volume: 129 start-page: 43 issue: 1 year: 2011 end-page: 50 ident: 3 article-title: Outsourcing and production scheduling for a two-stage flow shop – volume: 42 start-page: 245 issue: 3 year: 1997 end-page: 280 ident: 5 article-title: Mixed multigraph approach to scheduling jobs on machines of different types – ident: 9 doi: 10.1016/S0167-5060(08)70356-X – ident: 1 doi: 10.1016/j.ijpe.2004.05.023 – ident: 8 doi: 10.1287/opre.1040.0165 – ident: 7 doi: 10.1287/mnsc.47.8.1081.10232 – year: 1979 ident: 10 – ident: 5 doi: 10.1080/02331939708844361 – ident: 3 doi: 10.1016/j.ijpe.2010.08.011 – volume: 45 start-page: 954 issue: 7 year: 1999 ident: 6 publication-title: Management Science doi: 10.1287/mnsc.45.7.954 – ident: 4 doi: 10.1080/07408170801975057 – ident: 2 doi: 10.1016/S0377-2217(99)00371-9 |
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| SubjectTerms | Algorithms Analysis Batch processing Cost engineering Dynamic programming Economic aspects Employment Heuristic Inventory Job shops Knapsack problem Logistics Manufacturers Manufacturing costs Mathematical analysis Mathematical models Methods Operations research Production scheduling Schedules Scheduling Scheduling (Management) Subcontracting Subcontractors Supplying |
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| Title | The Supplying Chain Scheduling with the Cost Constraint and Subcontracting |
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