Further Analysis of an Outcome Set-Based Algorithm for Multiple-Objective Linear Programming
Author
Abstract
Suggested Citation
DOI: 10.1023/A:1022614814789
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Gal, Tomas, 1977. "A general method for determining the set of all efficient solutions to a linear vectormaximum problem," European Journal of Operational Research, Elsevier, vol. 1(5), pages 307-322, September.
- Gerald W. Evans, 1984. "An Overview of Techniques for Solving Multiobjective Mathematical Programs," Management Science, INFORMS, vol. 30(11), pages 1268-1282, November.
- Harold P. Benson, 1985. "Multiple Objective Linear Programming with Parametric Criteria Coefficients," Management Science, INFORMS, vol. 31(4), pages 461-474, April.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Henri Bonnel & Julien Collonge, 2015. "Optimization over the Pareto outcome set associated with a convex bi-objective optimization problem: theoretical results, deterministic algorithm and application to the stochastic case," Journal of Global Optimization, Springer, vol. 62(3), pages 481-505, July.
- Zhenqiang Zhang & Sile Ma & Xiangyuan Jiang, 2022. "Research on Multi-Objective Multi-Robot Task Allocation by Lin–Kernighan–Helsgaun Guided Evolutionary Algorithms," Mathematics, MDPI, vol. 10(24), pages 1-17, December.
- H. P. Benson & E. Sun, 2000. "Outcome Space Partition of the Weight Set in Multiobjective Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 105(1), pages 17-36, April.
- Matthias Ehrgott & Andreas Löhne & Lizhen Shao, 2012. "A dual variant of Benson’s “outer approximation algorithm” for multiple objective linear programming," Journal of Global Optimization, Springer, vol. 52(4), pages 757-778, April.
- Henri Bonnel & Julien Collonge, 2014. "Stochastic Optimization over a Pareto Set Associated with a Stochastic Multi-Objective Optimization Problem," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 405-427, August.
- Löhne, Andreas & Weißing, Benjamin, 2017. "The vector linear program solver Bensolve – notes on theoretical background," European Journal of Operational Research, Elsevier, vol. 260(3), pages 807-813.
- Anthony Przybylski & Xavier Gandibleux & Matthias Ehrgott, 2010. "A Recursive Algorithm for Finding All Nondominated Extreme Points in the Outcome Set of a Multiobjective Integer Programme," INFORMS Journal on Computing, INFORMS, vol. 22(3), pages 371-386, August.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- H. P. Benson & E. Sun, 2000. "Outcome Space Partition of the Weight Set in Multiobjective Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 105(1), pages 17-36, April.
- H. P. Benson, 1998. "Hybrid Approach for Solving Multiple-Objective Linear Programs in Outcome Space," Journal of Optimization Theory and Applications, Springer, vol. 98(1), pages 17-35, July.
- A.P. Wierzbicki, 1998. "Reference Point Methods in Vector Optimization and Decision Support," Working Papers ir98017, International Institute for Applied Systems Analysis.
- Dranichak, Garrett M. & Wiecek, Margaret M., 2019. "On highly robust efficient solutions to uncertain multiobjective linear programs," European Journal of Operational Research, Elsevier, vol. 273(1), pages 20-30.
- Daniel P. Loucks & László Somlyódy, 1986. "Multiobjective Assessment of Multipurpose Water Resources Projects for Developing Countries," Natural Resources Forum, Blackwell Publishing, vol. 10(1), pages 61-75, February.
- Aouni, Belaid & Kettani, Ossama, 2001. "Goal programming model: A glorious history and a promising future," European Journal of Operational Research, Elsevier, vol. 133(2), pages 225-231, January.
- Ankhili, Z. & Mansouri, A., 2009. "An exact penalty on bilevel programs with linear vector optimization lower level," European Journal of Operational Research, Elsevier, vol. 197(1), pages 36-41, August.
- Kalu, Timothy Ch. U., 1999. "Capital budgeting under uncertainty: An extended goal programming approach," International Journal of Production Economics, Elsevier, vol. 58(3), pages 235-251, January.
- Sylva, John & Crema, Alejandro, 2007. "A method for finding well-dispersed subsets of non-dominated vectors for multiple objective mixed integer linear programs," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1011-1027, August.
- S. Razavyan, 2016. "A Method for Generating a Well-Distributed Pareto Set in Multiple Objective Mixed Integer Linear Programs Based on the Decision Maker’s Initial Aspiration Level," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-23, August.
- Yasemin Aksoy, 1990. "An interactive branch‐and‐bound algorithm for bicriterion nonconvex/mixed integer programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(3), pages 403-417, June.
- Wan S. Shin & Diane Breivik Allen, 1994. "An interactive paired comparison method for bicriterion integer programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(3), pages 423-434, April.
- Di Martinelly, Christine & Meskens, Nadine, 2017.
"A bi-objective integrated approach to building surgical teams and nurse schedule rosters to maximise surgical team affinities and minimise nurses' idle time,"
International Journal of Production Economics, Elsevier, vol. 191(C), pages 323-334.
- Christine Di Martinelly & Nadine Meskens, 2017. "A bi-objective integrated approach to building surgical teams and nurse schedule rosters to maximise surgical team affinities and minimise nurses' idle time," Post-Print hal-01745280, HAL.
- Arevalo Quijada, Mª Teresa & Zapata Reina, Asunción, 1996. "La programación fraccionada múltiple: tratamiento del problema de la producción," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 6, pages 5-24, Diciembre.
- Jean C. Bedard & Babu R. Gopi & B. Vijayalakshmi, 1991. "A multiple criteria model for audit planning decisions," Contemporary Accounting Research, John Wiley & Sons, vol. 8(1), pages 293-308, September.
- Metev, Boyan, 1995. "Use of reference points for solving MONLP problems," European Journal of Operational Research, Elsevier, vol. 80(1), pages 193-203, January.
- Crowe, Kevin, 2008. "Modeling the effects of introducing timber sales into volume-based tenure agreements," Forest Policy and Economics, Elsevier, vol. 10(3), pages 174-182, January.
- Strijbosch, L.W.G. & van Doorne, A.G.M. & Selen, W.J., 1990.
"A simplified MOLP algorithm : The MOLP-S procedure,"
Research Memorandum
FEW 460, Tilburg University, School of Economics and Management.
- Strijbosch, L.W.G. & van Doorne, A.G.M. & Selen, W.J., 1990. "A simplified MOLP algorithm : The MOLP-S procedure," Other publications TiSEM be36bc9e-0563-472f-ad4e-d, Tilburg University, School of Economics and Management.
- Alves, Maria Joao & Climaco, Joao, 2007. "A review of interactive methods for multiobjective integer and mixed-integer programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 99-115, July.
- Harold P. Benson & Serpil Sayin, 1997. "Towards finding global representations of the efficient set in multiple objective mathematical programming," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 47-67, February.
More about this item
Keywords
Multiple-objective linear programming; efficient sets; weakly efficient sets; outer-approximation algorithms;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:97:y:1998:i:1:d:10.1023_a:1022614814789. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.