A multi-level approach to ubiquitous modeling and solving constraints in combinatorial optimization problems in production and distribution
Constraints, although ubiquitous in production and distribution planning, scheduling and control, often lead to inconsistencies in the decision-making process. The constraint-based modeling helps circumvent many organization-impacting issues. To address this, we developed a multi-level approach to t...
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| Vydáno v: | Applied intelligence (Dordrecht, Netherlands) Ročník 48; číslo 5; s. 1344 - 1367 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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New York
Springer US
01.05.2018
Springer Nature B.V |
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| ISSN: | 0924-669X, 1573-7497 |
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| Abstract | Constraints, although ubiquitous in production and distribution planning, scheduling and control, often lead to inconsistencies in the decision-making process. The constraint-based modeling helps circumvent many organization-impacting issues. To address this, we developed a multi-level approach to the modeling and solving of combinatorial optimization problems. It is versatile and effective owing to the use of multi-level presolving and multiple paradigms, such as constraint programming, logic programming, mathematical programming and fuzzy logic, for their complementary strengths. The capability of this framework and its advantage over mathematical programming alone or over hybrid frameworks is shown in the illustrative example, in which combinatorial optimization is used as a benchmark to prove the effectiveness of the proposed approach. Knowledge of the problem is stored in the form of facts. |
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| AbstractList | Constraints, although ubiquitous in production and distribution planning, scheduling and control, often lead to inconsistencies in the decision-making process. The constraint-based modeling helps circumvent many organization-impacting issues. To address this, we developed a multi-level approach to the modeling and solving of combinatorial optimization problems. It is versatile and effective owing to the use of multi-level presolving and multiple paradigms, such as constraint programming, logic programming, mathematical programming and fuzzy logic, for their complementary strengths. The capability of this framework and its advantage over mathematical programming alone or over hybrid frameworks is shown in the illustrative example, in which combinatorial optimization is used as a benchmark to prove the effectiveness of the proposed approach. Knowledge of the problem is stored in the form of facts. |
| Author | Wikarek, Jarosław Sitek, Paweł |
| Author_xml | – sequence: 1 givenname: Paweł orcidid: 0000-0001-6108-0241 surname: Sitek fullname: Sitek, Paweł email: sitek@tu.kielce.pl organization: Department of Control and Management Systems, Kielce University of Technology – sequence: 2 givenname: Jarosław surname: Wikarek fullname: Wikarek, Jarosław organization: Department of Control and Management Systems, Kielce University of Technology |
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| CitedBy_id | crossref_primary_10_1007_s10489_021_02594_x crossref_primary_10_1016_j_neucom_2020_02_126 |
| Cites_doi | 10.1007/978-3-319-05353-0_25 10.1007/s10479-009-0654-9 10.1002/9780470612309 10.1109/IROS.1994.407403 10.1023/A:1018981813157 10.1155/2016/5102616 10.1007/s10479-015-1853-1 10.1016/j.procs.2014.08.239 10.1016/B978-0-12-382020-4.00002-1 10.1007/s00170-013-4760-0 10.1007/978-3-319-28555-9_5 10.1007/978-3-319-07593-8_3 10.1007/s10479-007-0188-y 10.1016/j.rcim.2009.06.003 10.1007/978-3-319-15796-2_25 10.1007/978-1-4419-8917-8_3 10.1109/MMAR.2013.6670011 10.1080/00207543.2015.1005762 10.1007/978-3-319-39387-2_6 10.1017/CBO9780511615320 10.1007/s10479-013-1400-x |
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| DOI | 10.1007/s10489-017-1107-9 |
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| Keywords | Constraint logic programming Hybrid methods Presolving Manufacturing and distribution Constraint satisfaction problem ubiquitous modeling and solving constraints Mathematical programming |
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| References | HookerJNLogic, optimization, and constraint programmingJ Comput200214429532119462931238.90002 Sitek P, Wikarek J (2013) A hybrid approach to modeling and, optimization for supply chain management with multimodal transport. In: IEEE Conference: 18th International Conference on Methods and Models in Automation and Robotics (MMAR). https://doi.org/10.1109/MMAR.2013.6670011, pp 777–782 Grzybowska K, Gajšek B (2016) Regional logistics information platform as a support for coordination of supply chain. In: Bajo J et al (eds) Highlights of Practical Applications of Scalable Multi-Agent Systems, The PAAMS Collection. https://doi.org/10.1007/978-3-319-39387-2_6, pp 61–72 Sitek P (2014) A Hybrid Approach to the Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP). In: Recent Advances In Automation, Robotics And Measuring Techniques, Advances in Intelligent Systems and Computing. https://doi.org/10.1007/978-3-319-05353-0_25, vol 267, pp 251–263 Sitek P (2015) A hybrid approach to sustainable supply chain optimization. In: Progress in Automation, Robotics and Measuring Techniques. https://doi.org/10.1007/978-3-319-15796-2_25 , pp 243–254 EscuderoLFMartelloSStrusevichVAn overview of computational issues in combinatorial optimizationAnn Oper Res20132071308407510.1007/s10479-013-1400-xhttps://doi.org/10.1007/s10479-013-1400-x LiessOMichelonPA constraint programming approach for the resource-constrained project scheduling problemAnn Oper Res200815712536236026810.1007/s10479-007-0188-y1151.90444https://doi.org/10.1007/s10479-007-0188-y Apt K (2003) Principles of constraint programming, Cambridge University Press, Cambridge BrandenburgMRebsTSustainable supply chain management: a modeling perspectiveAnn Oper Res201522921310.1007/s10479-015-1853-11358.90056https://doi.org/10.1007/s10479-015-1853-1 Teorey T, Lightstone S, Nadeau T, Jagadish H (2011) Database Modeling and Design: Logical Design, The Morgan Kaufmann Series in Data Management Systems 5th Edition, ISBN-13: 978-0123820204 Benhamou F, Jussien N, O’Sullivan BA (2007) Trends in Constraint Programming, ISBN: 978-1-905209-97-Wiley-ISTE Sitek P, Wikarek J (2016) A hybrid programming framework for modeling and solving constraint satisfaction and optimization problems. 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| References_xml | – reference: BocewiczGBanaszakZDeclarative approach to cyclic steady states space refinement: periodic processes schedulingInt J Adv Manuf Technol2013671-413715510.1007/s00170-013-4760-0https://doi.org/10.1007/s00170-013-4760-0 – reference: CaricatoPGriecoAA DSS for production planning focused on customer service and technological aspectsRobot Comput-Integr Manuf20092587187810.1016/j.rcim.2009.06.003https://doi.org/10.1016/j.rcim.2009.06.003 https://doi.org/10.1016/j.rcim.2009.06.003 – reference: SchrijverATheory of linear and integer programming, ISBN 0-471-98232-61998NYWiley – reference: BarthPBockmayrAModelling discrete optimisation problems in constraint logic programmingAnn Oper Res199881467163841010.1023/A:10189818131570910.90235https://doi.org/10.1023/A:1018981813157 – reference: Sitek P (2015) A hybrid approach to sustainable supply chain optimization. In: Progress in Automation, Robotics and Measuring Techniques. https://doi.org/10.1007/978-3-319-15796-2_25 , pp 243–254 – reference: Sitek P, Wikarek J (2016) A hybrid programming framework for modeling and solving constraint satisfaction and optimization problems. In: Scientific Programming, Volume 2016, Article ID 5102616. https://doi.org/10.1155/2016/5102616 – reference: RochJRamosCTask planning for flexible and agile manufacturing systemsIROS ’9419941105112https://doi.org/10.1109/IROS.1994.407403 https://doi.org/10.1109/IROS.1994.407403 – reference: Sitek P, Wikarek J (2015) A hybrid framework for the modelling and optimisation of decision problems in sustainable supply chain management. In: International Journal of Production Research. https://doi.org/10.1080/00207543.2015.1005762, pp 6611–6628 – reference: Teorey T, Lightstone S, Nadeau T, Jagadish H (2011) Database Modeling and Design: Logical Design, The Morgan Kaufmann Series in Data Management Systems 5th Edition, ISBN-13: 978-0123820204 – reference: NielsenIDangQNielsenPPawlewskiPScheduling of mobile robots with preemptive tasksAdv Intell Syst Comput20142901927https://doi.org/10.1007/978-3-319-07593-8∖_3 – reference: Sitek P (2014) A Hybrid Approach to the Two-Echelon Capacitated Vehicle Routing Problem (2E-CVRP). In: Recent Advances In Automation, Robotics And Measuring Techniques, Advances in Intelligent Systems and Computing. https://doi.org/10.1007/978-3-319-05353-0_25, vol 267, pp 251–263 – reference: Milano M, Wallace M (2010) Integrating operation research in constraint programming. Ann Oper Res 175(1):37–76. – reference: EscuderoLFMartelloSStrusevichVAn overview of computational issues in combinatorial optimizationAnn Oper Res20132071308407510.1007/s10479-013-1400-xhttps://doi.org/10.1007/s10479-013-1400-x – reference: Apt K (2003) Principles of constraint programming, Cambridge University Press, Cambridge – reference: SitekPNielsenIEWikarekJA hybrid multi-agent approach to the solving supply chain problemsProcedia Comput Sci KES2014351557156610.1016/j.procs.2014.08.239https://doi.org/10.1016/j.procs.2014.08.239 – reference: Sitek P, Wikarek J (2013) A hybrid approach to modeling and, optimization for supply chain management with multimodal transport. 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