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An Overview of Techniques for Solving Multiobjective Mathematical Programs

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  1. 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.
  2. 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.
  3. Zhang, Weihua & Reimann, Marc, 2014. "A simple augmented ∊-constraint method for multi-objective mathematical integer programming problems," European Journal of Operational Research, Elsevier, vol. 234(1), pages 15-24.
  4. 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.
  5. Kaliszewski, Ignacy & Michalowski, Wojtek, 1999. "Searching for psychologically stable solutions of multiple criteria decision problems," European Journal of Operational Research, Elsevier, vol. 118(3), pages 549-562, November.
  6. 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.
  7. Bennell, Julia A. & Soon Lee, Lai & Potts, Chris N., 2013. "A genetic algorithm for two-dimensional bin packing with due dates," International Journal of Production Economics, Elsevier, vol. 145(2), pages 547-560.
  8. N. Mahdavi-Amiri & F. Salehi Sadaghiani, 2017. "Strictly feasible solutions and strict complementarity in multiple objective linear optimization," 4OR, Springer, vol. 15(3), pages 303-326, September.
  9. Metev, Boyan S. & Yordanova-Markova, Irena T., 1997. "Multi-objective optimization over convex disjunctive feasible sets using reference points," European Journal of Operational Research, Elsevier, vol. 98(1), pages 124-137, April.
  10. Andre, Francisco J. & Riesgo, Laura, 2007. "A non-interactive elicitation method for non-linear multiattribute utility functions: Theory and application to agricultural economics," European Journal of Operational Research, Elsevier, vol. 181(2), pages 793-807, September.
  11. Agrell, Per J. & Stam, Antonie & Fischer, Gunther W., 2004. "Interactive multiobjective agro-ecological land use planning: The Bungoma region in Kenya," European Journal of Operational Research, Elsevier, vol. 158(1), pages 194-217, October.
  12. 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.
  13. 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.
  14. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
  15. 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.
  16. Liu, Fuh-Hwa Franklin & Huang, Chueng-Chiu & Yen, Yu-Lee, 2000. "Using DEA to obtain efficient solutions for multi-objective 0-1 linear programs," European Journal of Operational Research, Elsevier, vol. 126(1), pages 51-68, October.
  17. Pekka Korhonen & Jyrki Wallenius, 1988. "A pareto race," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 615-623, December.
  18. Tomasz Szapiro & Przemysław Szufel, 2014. "Simulated Negotiation Outcomes Through Recommendation Crowding," Group Decision and Negotiation, Springer, vol. 23(3), pages 443-461, May.
  19. Moez Limayem & Gerardine DeSanctis, 2000. "Providing Decisional Guidance for Multicriteria Decision Making in Groups," Information Systems Research, INFORMS, vol. 11(4), pages 386-401, December.
  20. André, Francisco J. & Cardenete, M. Alejandro, 2009. "Defining efficient policies in a general equilibrium model: a multi-objective approach," Socio-Economic Planning Sciences, Elsevier, vol. 43(3), pages 192-200, September.
  21. Francisco J. André & Laura Riesgo, 2006. "A Duality Procedure to Elicit Nonlinear Multiattribute Utility Functions," Working Papers 06.02, Universidad Pablo de Olavide, Department of Economics.
  22. Mehrez, Abraham, 1997. "The interface between OR/MS and decision theory," European Journal of Operational Research, Elsevier, vol. 99(1), pages 38-47, May.
  23. Gass, Saul I. & Roy, Pallabi Guha, 2003. "The compromise hypersphere for multiobjective linear programming," European Journal of Operational Research, Elsevier, vol. 144(3), pages 459-479, February.
  24. Vetschera, Rudolf, 1992. "Estimating preference cones from discrete choices: Computational techniques and experiences," Discussion Papers, Series I 259, University of Konstanz, Department of Economics.
  25. Shuli Hu & Xiaoli Wu & Huan Liu & Yiyuan Wang & Ruizhi Li & Minghao Yin, 2019. "Multi-Objective Neighborhood Search Algorithm Based on Decomposition for Multi-Objective Minimum Weighted Vertex Cover Problem," Sustainability, MDPI, vol. 11(13), pages 1-21, July.
  26. Mustafa, A. & Goh, M., 1996. "Multi-criterion models for higher education administration," Omega, Elsevier, vol. 24(2), pages 167-178, April.
  27. Crowther, Kenneth G., 2008. "Decentralized risk management for strategic preparedness of critical infrastructure through decomposition of the inoperability input–output model," International Journal of Critical Infrastructure Protection, Elsevier, vol. 1(C), pages 53-67.
  28. Escobar, María Teresa & Moreno-Jiménez, José María, 2002. "A linkage between the Analytic Hierarchy Process and the Compromise Programming Models," Omega, Elsevier, vol. 30(5), pages 359-365, October.
  29. H. P. Benson, 1998. "Further Analysis of an Outcome Set-Based Algorithm for Multiple-Objective Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 97(1), pages 1-10, April.
  30. Milos Maryska & Petr Doucek & Lea Nedomova & Pavel Sladek, 2018. "The Energy Industry in the Czech Republic: On the Way to the Internet of Things," Economies, MDPI, vol. 6(2), pages 1-13, June.
  31. Chen, Jian & Tang, Liping & Yang, Xinmin, 2023. "A Barzilai-Borwein descent method for multiobjective optimization problems," European Journal of Operational Research, Elsevier, vol. 311(1), pages 196-209.
  32. Wan S. Shin & Jung J. Lee, 1992. "A multi‐run interactive method for bicriterion optimization problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 115-135, February.
  33. 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.
  34. Enriquez-Andrade, Roberto Ramon & Vaca-Rodriguez, Juan Guillermo, 2004. "Evaluating ecological tradeoffs in fisheries management: a study case for the yellowfin tuna fishery in the Eastern Pacific Ocean," Ecological Economics, Elsevier, vol. 48(3), pages 303-315, March.
  35. Theodor J. Stewart, 1988. "Experience with prototype multicriteria decision support systems for pelagic fish quota determination," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 719-731, December.
  36. Kuncová, M. & Hedija, V. & Fiala, R., 2016. "Firm Size as a Determinant of Firm Performance: The Case of Swine Raising," AGRIS on-line Papers in Economics and Informatics, Czech University of Life Sciences Prague, Faculty of Economics and Management, vol. 8(3), pages 1-13, September.
  37. Frauendorfer, K. & Konigsperger, E., 1996. "Concepts for improving scheduling decisions: An application in the chemical industry," International Journal of Production Economics, Elsevier, vol. 46(1), pages 27-38, December.
  38. Behzadi, Golnar & O’Sullivan, Michael Justin & Olsen, Tava Lennon & Zhang, Abraham, 2018. "Agribusiness supply chain risk management: A review of quantitative decision models," Omega, Elsevier, vol. 79(C), pages 21-42.
  39. Benson, Harold P. & Sun, Erjiang, 2002. "A weight set decomposition algorithm for finding all efficient extreme points in the outcome set of a multiple objective linear program," European Journal of Operational Research, Elsevier, vol. 139(1), pages 26-41, May.
  40. Alves, Maria Joao & Climaco, Joao, 2000. "An interactive reference point approach for multiobjective mixed-integer programming using branch-and-bound," European Journal of Operational Research, Elsevier, vol. 124(3), pages 478-494, August.
  41. Barker, Theresa J. & Zabinsky, Zelda B., 2011. "A multicriteria decision making model for reverse logistics using analytical hierarchy process," Omega, Elsevier, vol. 39(5), pages 558-573, October.
  42. 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.
  43. Metev, Boyan, 1995. "Use of reference points for solving MONLP problems," European Journal of Operational Research, Elsevier, vol. 80(1), pages 193-203, January.
  44. Lakshminarayan, P. G., 1993. "Tradeoffs in balancing multiple objectives of an integrated agricultural economic and environmental system," ISU General Staff Papers 1993010108000011833, Iowa State University, Department of Economics.
  45. 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.
  46. R. Ramesh & Mark H. Karwan & Stanley Zionts, 1989. "Interactive multicriteria linear programming: An extension of the method of Zionts and Wallenius," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(3), pages 321-335, June.
  47. Kalu, Timothy Ch. U., 1998. "Domestic petroleum-related expertise utilization and Nigeria's oil industry survival: A multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 110(3), pages 457-473, November.
  48. 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.
  49. Ji, Bin & Zhang, Dezhi & Yu, Samson S. & Zhang, Binqiao, 2021. "Optimally solving the generalized serial-lock scheduling problem from a graph-theory-based multi-commodity network perspective," European Journal of Operational Research, Elsevier, vol. 288(1), pages 47-62.
  50. Ji, Bin & Zhang, Dezhi & Zhang, Zheng & Yu, Samson S. & Van Woensel, Tom, 2022. "The generalized serial-lock scheduling problem on inland waterway: A novel decomposition-based solution framework and efficient heuristic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
  51. Michael Brusco & Stephanie Stahl, 2001. "An interactive multiobjective programming approach to combinatorial data analysis," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 5-24, March.
  52. Shahabeddin Najafi & Masoud Hajarian, 2023. "Multiobjective Conjugate Gradient Methods on Riemannian Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 197(3), pages 1229-1248, June.
  53. 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.
  54. Francisco J. André & M. Alejandro Cardenete, 2009. "Efficient Economic and Environmental Policies Combining Multicriteria Techniques and General Equilibrium Modelling," Working Papers 09.08, Universidad Pablo de Olavide, Department of Economics.
  55. Aloysius, John A. & Davis, Fred D. & Wilson, Darryl D. & Ross Taylor, A. & Kottemann, Jeffrey E., 2006. "User acceptance of multi-criteria decision support systems: The impact of preference elicitation techniques," European Journal of Operational Research, Elsevier, vol. 169(1), pages 273-285, February.
  56. Alves, Maria Joao & Climaco, Joao, 1999. "Using cutting planes in an interactive reference point approach for multiobjective integer linear programming problems," European Journal of Operational Research, Elsevier, vol. 117(3), pages 565-577, September.
  57. Dung-Ying Lin & Chi Xie, 2011. "The Pareto-optimal Solution Set of the Equilibrium Network Design Problem with Multiple Commensurate Objectives," Networks and Spatial Economics, Springer, vol. 11(4), pages 727-751, December.
  58. H. P. Benson & G. M. Boger, 1997. "Multiplicative Programming Problems: Analysis and Efficient Point Search Heuristic," Journal of Optimization Theory and Applications, Springer, vol. 94(2), pages 487-510, August.
  59. Mavrotas, G. & Diakoulaki, D., 1998. "A branch and bound algorithm for mixed zero-one multiple objective linear programming," European Journal of Operational Research, Elsevier, vol. 107(3), pages 530-541, June.
  60. Zhang, Cai Wen & Ong, Hoon Liong, 2004. "Solving the biobjective zero-one knapsack problem by an efficient LP-based heuristic," European Journal of Operational Research, Elsevier, vol. 159(3), pages 545-557, December.
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