Scheduling in the Aeronautical Industry Using a Mixed Integer Linear Problem Formulation
Scheduling is becoming much more important in every industry. At the same time, scheduling problems have been the subject of continuous research since the early days of operations research. However, the standard resource constraint scheduling problem (RCSP) usually does not cover all the characteris...
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| Published in | Procedia engineering Vol. 132; pp. 982 - 989 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
2015
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1877-7058 1877-7058 |
| DOI | 10.1016/j.proeng.2015.12.586 |
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| Abstract | Scheduling is becoming much more important in every industry. At the same time, scheduling problems have been the subject of continuous research since the early days of operations research. However, the standard resource constraint scheduling problem (RCSP) usually does not cover all the characteristics of real world problems.
In this work, we present an Event Based Mixed Integer Linear Problem (MILP) formulation for a Multimode Resource Constraint Problem (MRCSP) of direct application for some industries, as aerospace final assembly lines. Taking as a starting point one of the last MILP formulations for standard RCSP, its contribution is to provide a formulation which covers the multimode case and more general temporal constraints than the ones usually referred to in the literature.
This publication focuses on the computational results, their relevance and their impact for a future extension to solving real world instances. |
|---|---|
| AbstractList | Scheduling is becoming much more important in every industry. At the same time, scheduling problems have been the subject of continuous research since the early days of operations research. However, the standard resource constraint scheduling problem (RCSP) usually does not cover all the characteristics of real world problems.
In this work, we present an Event Based Mixed Integer Linear Problem (MILP) formulation for a Multimode Resource Constraint Problem (MRCSP) of direct application for some industries, as aerospace final assembly lines. Taking as a starting point one of the last MILP formulations for standard RCSP, its contribution is to provide a formulation which covers the multimode case and more general temporal constraints than the ones usually referred to in the literature.
This publication focuses on the computational results, their relevance and their impact for a future extension to solving real world instances. |
| Author | Ortega, M. Borreguero, T. García, A. |
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| Cites_doi | 10.1287/opre.32.1.89 10.1287/mnsc.16.1.93 10.1007/s10951-008-0059-7 10.1016/j.ejor.2009.11.005 10.1016/0377-2217(93)90062-R 10.1016/j.cor.2010.05.006 10.1007/s12209-010-1495-y 10.1016/S0377-2217(02)00758-0 10.1007/978-3-319-04705-8_13 10.1007/978-3-642-23929-8 10.1016/S0377-2217(98)00204-5 10.1109/ICMSAO.2013.6552557 10.1016/j.cor.2009.12.011 |
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| Keywords | Scheduling MILP Model Aerospace Exact method |
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| References_xml | – reference: PSPLIB library : http://www.om-db.wi.tum.de/psplib/main.html. – reference: J.A. Lawrence and B. Pasternack. Applied Management Science, John Wiley (2002). – reference: P. Brucker and S. Knust. Complex Scheduling. GOR-Publications. Springer (2011). – reference: R.L. Ackoff, C.W. Churchman and E.L. Arnoff. Introduction to Operational Research. John Wiley (1957). – reference: APSP : https://www.dropbox.com/sh/9070da1dz6typ2o/V0jCAtR_8y. – reference: T. Borreguero, Á. García, M. Ortega, A MILP Event Based Formulation for a Real-World Multimode RCSP with Generalized Temporal Constraints. Managing Complexity, Springer. (2014) pp 113-120. – reference: C. Artigues, P. Michelon, and S. Reusser. Insertion techniques for static and dynamic resource-constrained project scheduling. European Journal of Operational Research, 149(2) (2003), pp. 249-267. – reference: V. E. Gastelum. Application of lean manufacturing techniques for the design of the aircraft assembly line, Master's thesis. Massachusets Institute of Technology (2002). – reference: T.A. Guldemond, J.L. Hurink, Time-constrained project scheduling, J. Scheduling 11 (2008) pp. 137-148. – reference: O. Koné, C. Artigues, P. Lopez, M. Mongeau, Event-based MILP models for resource-constrained project scheduling problems, Computers & Operations Research 38 (1) (2011), pp. 3-13. – reference: R. H. Mohring, Minimizing costs of resource requirements in project networks subject to a fixed completion time. Operations Research 32 (1) (1984) pp. 89-120. – reference: S. Hartmann, D. Briskorn, A survey of variants and extensions of the resource-constrained project scheduling problem, European Journal of Operational Research 207 (1) (2010) pp. 1-14. – reference: C. Artigues, S. Demassey, Resource-Constrained Project Scheduling: Models, Algorithms, Extensions and Applications, Wiley Library (2010). – reference: P. Brucker, A. Drexl, R. Möhring, K. Neumann, and E. Pesch. Resource-constrained project scheduling: Notation, classification, models, and methods. European Journal of Operational Research, 112(1) (1999), pp. 3-41. – reference: J.M. Tamarit, R. Alvarez-Valdés. The project scheduling polyhedron: Dimension, facets and lifting theorems. European Journal of Operational Research, 67 (1993), pp. 204-220. – reference: N. Nouri, S. Krichen, T. Ladhari, P. Fatimah, A discrete artificial bee colony algorithm for resource-constrained project scheduling problem. 5th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO) (2013) pp. 1-6. – reference: J. Hurink, A. Kok, J. Paulus, J. Schutten, Time-constrained project scheduling with adjacent resources, Computers & Operations Research 38 (1) (2011) pp. 310-319. – reference: H. Wang, T. Li, D. Lin, Efficient genetic algorithm for resource constrained project scheduling problem, Transactions of Tianjin University 16 (5) (2010) pp. 376-382. – reference: A. Alan B. Pritsker, L.J. Watters, and P. M. Wolfe. Multiproject scheduling with limited resources: A zero-one programming approach. Management Science, 16(1)(1969), pp. 93-108. – reference: GV. Reklaitis, JC. Zapata and BM. Hodge. The multimode resource constrained multiproject. scheduling problem: alternative formulations. AIChEJournal, 54(8) (2008) pp. 01-19. – reference: O. Koné. Nouvelles approches pour la résolution du problème d’ordonnancement de projet a moyens limites. PhD thèsis, Université Toulouse III - Paul Sabatier (2009). – ident: 10.1016/j.proeng.2015.12.586_bib0010 doi: 10.1287/opre.32.1.89 – ident: 10.1016/j.proeng.2015.12.586_bib0080 doi: 10.1287/mnsc.16.1.93 – ident: 10.1016/j.proeng.2015.12.586_bib0105 – ident: 10.1016/j.proeng.2015.12.586_bib0015 doi: 10.1007/s10951-008-0059-7 – ident: 10.1016/j.proeng.2015.12.586_bib0005 – ident: 10.1016/j.proeng.2015.12.586_bib0100 – ident: 10.1016/j.proeng.2015.12.586_bib0035 doi: 10.1016/j.ejor.2009.11.005 – ident: 10.1016/j.proeng.2015.12.586_bib0085 doi: 10.1016/0377-2217(93)90062-R – ident: 10.1016/j.proeng.2015.12.586_bib0060 – ident: 10.1016/j.proeng.2015.12.586_bib0065 – ident: 10.1016/j.proeng.2015.12.586_bib0020 doi: 10.1016/j.cor.2010.05.006 – ident: 10.1016/j.proeng.2015.12.586_bib0040 doi: 10.1007/s12209-010-1495-y – ident: 10.1016/j.proeng.2015.12.586_bib0090 doi: 10.1016/S0377-2217(02)00758-0 – ident: 10.1016/j.proeng.2015.12.586_bib0055 doi: 10.1007/978-3-319-04705-8_13 – ident: 10.1016/j.proeng.2015.12.586_bib0025 doi: 10.1007/978-3-642-23929-8 – ident: 10.1016/j.proeng.2015.12.586_bib0030 – ident: 10.1016/j.proeng.2015.12.586_bib0075 doi: 10.1016/S0377-2217(98)00204-5 – ident: 10.1016/j.proeng.2015.12.586_bib0045 doi: 10.1109/ICMSAO.2013.6552557 – ident: 10.1016/j.proeng.2015.12.586_bib0095 – ident: 10.1016/j.proeng.2015.12.586_bib0050 doi: 10.1016/j.cor.2009.12.011 – ident: 10.1016/j.proeng.2015.12.586_bib0070 |
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| Title | Scheduling in the Aeronautical Industry Using a Mixed Integer Linear Problem Formulation |
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