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Inverse Combinatorial Optimization: A Survey on Problems, Methods, and Results

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  1. Yi Zhang & Liwei Zhang & Yue Wu, 2014. "The augmented Lagrangian method for a type of inverse quadratic programming problems over second-order cones," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 45-79, April.
  2. Libura, Marek, 2007. "On the adjustment problem for linear programs," European Journal of Operational Research, Elsevier, vol. 183(1), pages 125-134, November.
  3. Rico Walter & Martin Wirth & Alexander Lawrinenko, 2017. "Improved approaches to the exact solution of the machine covering problem," Journal of Scheduling, Springer, vol. 20(2), pages 147-164, April.
  4. Timothy C. Y. Chan & Tim Craig & Taewoo Lee & Michael B. Sharpe, 2014. "Generalized Inverse Multiobjective Optimization with Application to Cancer Therapy," Operations Research, INFORMS, vol. 62(3), pages 680-695, June.
  5. Qin Wang & Tianyu Yang & Longshu Wu, 2022. "General restricted inverse assignment problems under $$l_1$$ l 1 and $$l_\infty $$ l ∞ norms," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 2040-2055, October.
  6. Kien Trung Nguyen & Nguyen Thanh Hung, 2020. "The inverse connected p-median problem on block graphs under various cost functions," Annals of Operations Research, Springer, vol. 292(1), pages 97-112, September.
  7. Adrian Deaconu & Laura Ciupala, 2020. "Inverse Minimum Cut Problem with Lower and Upper Bounds," Mathematics, MDPI, vol. 8(9), pages 1-10, September.
  8. András Kovács, 2021. "Inverse optimization approach to the identification of electricity consumer models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 521-537, June.
  9. Çiğdem Güler & Horst W. Hamacher, 2010. "Capacity inverse minimum cost flow problem," Journal of Combinatorial Optimization, Springer, vol. 19(1), pages 43-59, January.
  10. Merve Bodur & Timothy C. Y. Chan & Ian Yihang Zhu, 2022. "Inverse Mixed Integer Optimization: Polyhedral Insights and Trust Region Methods," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1471-1488, May.
  11. Rishabh Gupta & Qi Zhang, 2022. "Decomposition and Adaptive Sampling for Data-Driven Inverse Linear Optimization," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2720-2735, September.
  12. Yerim Chung & Marc Demange, 2006. "The 0-1 inverse maximum stable set problem," Cahiers de la Maison des Sciences Economiques b06089, Université Panthéon-Sorbonne (Paris 1).
  13. Lizhi Wang, 2013. "Branch-and-bound algorithms for the partial inverse mixed integer linear programming problem," Journal of Global Optimization, Springer, vol. 55(3), pages 491-506, March.
  14. T. R. Wang & N. Pedroni & E. Zio & V. Mousseau, 2020. "Identification of Protective Actions to Reduce the Vulnerability of Safety‐Critical Systems to Malevolent Intentional Acts: An Optimization‐Based Decision‐Making Approach," Risk Analysis, John Wiley & Sons, vol. 40(3), pages 565-587, March.
  15. Diana Fanghänel, 2013. "A bilevel programming problem with maximization of a supermodular function in the lower level," Journal of Combinatorial Optimization, Springer, vol. 26(3), pages 568-584, October.
  16. Qin Wang & Tianyu Yang & Longshu Wu, 0. "General restricted inverse assignment problems under $$l_1$$l1 and $$l_\infty $$l∞ norms," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-16.
  17. Longcheng Liu & Jianzhong Zhang, 2006. "Inverse maximum flow problems under the weighted Hamming distance," Journal of Combinatorial Optimization, Springer, vol. 12(4), pages 395-408, December.
  18. Lili Zhang & Wenhao Guo, 2023. "Inverse Optimization Method for Safety Resource Allocation and Inferring Cost Coefficient Based on a Benchmark," Mathematics, MDPI, vol. 11(14), pages 1-15, July.
  19. Jianzhong Zhang & Liwei Zhang & Xiantao Xiao, 2010. "A Perturbation approach for an inverse quadratic programming problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(3), pages 379-404, December.
  20. Lindong Liu & Xiangtong Qi & Zhou Xu, 2024. "Stabilizing Grand Cooperation via Cost Adjustment: An Inverse Optimization Approach," INFORMS Journal on Computing, INFORMS, vol. 36(2), pages 635-656, March.
  21. Nguyen, Kien Trung & Chassein, André, 2015. "The inverse convex ordered 1-median problem on trees under Chebyshev norm and Hamming distance," European Journal of Operational Research, Elsevier, vol. 247(3), pages 774-781.
  22. Javad Tayyebi & Adrian Deaconu, 2019. "Inverse Generalized Maximum Flow Problems," Mathematics, MDPI, vol. 7(10), pages 1-15, September.
  23. Zhang, Jianzhong & Xu, Chengxian, 2010. "Inverse optimization for linearly constrained convex separable programming problems," European Journal of Operational Research, Elsevier, vol. 200(3), pages 671-679, February.
  24. Hughes, Michael S. & Lunday, Brian J., 2022. "The Weapon Target Assignment Problem: Rational Inference of Adversary Target Utility Valuations from Observed Solutions," Omega, Elsevier, vol. 107(C).
  25. Nguyen, Kien Trung & Hung, Nguyen Thanh, 2021. "The minmax regret inverse maximum weight problem," Applied Mathematics and Computation, Elsevier, vol. 407(C).
  26. Cai, Mao-Cheng & Duin, C.W. & Yang, Xiaoguang & Zhang, Jianzhong, 2008. "The partial inverse minimum spanning tree problem when weight increase is forbidden," European Journal of Operational Research, Elsevier, vol. 188(2), pages 348-353, July.
  27. Fahimeh Baroughi Bonab & Rainer Burkard & Elisabeth Gassner, 2011. "Inverse p-median problems with variable edge lengths," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 73(2), pages 263-280, April.
  28. Baldomero-Naranjo, Marta & Kalcsics, Jörg & Marín, Alfredo & Rodríguez-Chía, Antonio M., 2022. "Upgrading edges in the maximal covering location problem," European Journal of Operational Research, Elsevier, vol. 303(1), pages 14-36.
  29. Kien Trung Nguyen & Huong Nguyen-Thu & Nguyen Thanh Hung, 2018. "On the complexity of inverse convex ordered 1-median problem on the plane and on tree networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 147-159, October.
  30. Zhou, Ying & Wang, Lizhi & McCalley, James D., 2011. "Designing effective and efficient incentive policies for renewable energy in generation expansion planning," Applied Energy, Elsevier, vol. 88(6), pages 2201-2209, June.
  31. Jia Wu & Yi Zhang & Liwei Zhang & Yue Lu, 2016. "A Sequential Convex Program Approach to an Inverse Linear Semidefinite Programming Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-26, August.
  32. Xianyue Li & Zhao Zhang & Ding-Zhu Du, 2018. "Partial inverse maximum spanning tree in which weight can only be decreased under $$l_p$$ l p -norm," Journal of Global Optimization, Springer, vol. 70(3), pages 677-685, March.
  33. Burkard, Rainer E. & Galavii, Mohammadreza & Gassner, Elisabeth, 2010. "The inverse Fermat-Weber problem," European Journal of Operational Research, Elsevier, vol. 206(1), pages 11-17, October.
  34. Bhaskar, Umang & Ligett, Katrina & Schulman, Leonard J. & Swamy, Chaitanya, 2019. "Achieving target equilibria in network routing games without knowing the latency functions," Games and Economic Behavior, Elsevier, vol. 118(C), pages 533-569.
  35. Diana Fanghänel, 2011. "Optimality conditions for a bilevel matroid problem," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 594-608, November.
  36. Bennet Gebken & Sebastian Peitz, 2021. "Inverse multiobjective optimization: Inferring decision criteria from data," Journal of Global Optimization, Springer, vol. 80(1), pages 3-29, May.
  37. Lili Zhang & Zhengrui Chen & Dan Shi & Yanan Zhao, 2023. "An Inverse Optimal Value Approach for Synchronously Optimizing Activity Durations and Worker Assignments with a Project Ideal Cost," Mathematics, MDPI, vol. 11(5), pages 1-21, February.
  38. Zeynep Erkin & Matthew D. Bailey & Lisa M. Maillart & Andrew J. Schaefer & Mark S. Roberts, 2010. "Eliciting Patients' Revealed Preferences: An Inverse Markov Decision Process Approach," Decision Analysis, INFORMS, vol. 7(4), pages 358-365, December.
  39. Chassein, André & Goerigk, Marc, 2018. "Variable-sized uncertainty and inverse problems in robust optimization," European Journal of Operational Research, Elsevier, vol. 264(1), pages 17-28.
  40. Yerim Chung & Marc Demange, 2006. "The 0-1 inverse maximum stable set problem," Post-Print halshs-00130507, HAL.
  41. Susan Jia Xu & Mehdi Nourinejad & Xuebo Lai & Joseph Y. J. Chow, 2018. "Network Learning via Multiagent Inverse Transportation Problems," Service Science, INFORMS, vol. 52(6), pages 1347-1364, December.
  42. Yong He & Binwu Zhang & Enyu Yao, 2005. "Weighted Inverse Minimum Spanning Tree Problems Under Hamming Distance," Journal of Combinatorial Optimization, Springer, vol. 9(1), pages 91-100, February.
  43. Timothy C. Y. Chan & Katharina Forster & Steven Habbous & Claire Holloway & Luciano Ieraci & Yusuf Shalaby & Nasrin Yousefi, 2022. "Inverse optimization on hierarchical networks: an application to breast cancer clinical pathways," Health Care Management Science, Springer, vol. 25(4), pages 590-622, December.
  44. Zhi-Ming Chen & Cheng-Hsiung Lee & Hung-Lin Lai, 2022. "Speedup the optimization of maximal closure of a node-weighted directed acyclic graph," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1413-1437, December.
  45. Abumoslem Mohammadi & Javad Tayyebi, 2019. "Maximum Capacity Path Interdiction Problem with Fixed Costs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(04), pages 1-21, August.
  46. Vincent Mousseau & Özgür Özpeynirci & Selin Özpeynirci, 2018. "Inverse multiple criteria sorting problem," Annals of Operations Research, Springer, vol. 267(1), pages 379-412, August.
  47. Zhaoyang Duan & Lizhi Wang, 2011. "Heuristic algorithms for the inverse mixed integer linear programming problem," Journal of Global Optimization, Springer, vol. 51(3), pages 463-471, November.
  48. Longcheng Liu & Enyu Yao, 2013. "Weighted inverse maximum perfect matching problems under the Hamming distance," Journal of Global Optimization, Springer, vol. 55(3), pages 549-557, March.
  49. Zhao Zhang & Shuangshuang Li & Hong-Jian Lai & Ding-Zhu Du, 2016. "Algorithms for the partial inverse matroid problem in which weights can only be increased," Journal of Global Optimization, Springer, vol. 65(4), pages 801-811, August.
  50. Elisabeth Gassner, 2012. "An inverse approach to convex ordered median problems in trees," Journal of Combinatorial Optimization, Springer, vol. 23(2), pages 261-273, February.
  51. Aswani, Anil & Kaminsky, Philip & Mintz, Yonatan & Flowers, Elena & Fukuoka, Yoshimi, 2019. "Behavioral modeling in weight loss interventions," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1058-1072.
  52. Binwu Zhang & Xiucui Guan & Panos M. Pardalos & Chunyuan He, 2018. "An Algorithm for Solving the Shortest Path Improvement Problem on Rooted Trees Under Unit Hamming Distance," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 538-559, August.
  53. Kien Nguyen & André Chassein, 2015. "Inverse eccentric vertex problem on networks," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 687-698, September.
  54. Elisabeth Gassner, 2008. "The inverse 1-maxian problem with edge length modification," Journal of Combinatorial Optimization, Springer, vol. 16(1), pages 50-67, July.
  55. Dimitris Bertsimas & Vishal Gupta & Ioannis Ch. Paschalidis, 2012. "Inverse Optimization: A New Perspective on the Black-Litterman Model," Operations Research, INFORMS, vol. 60(6), pages 1389-1403, December.
  56. Jiang, Yiwei & Liu, Longcheng & Wu, Biao & Yao, Enyu, 2010. "Inverse minimum cost flow problems under the weighted Hamming distance," European Journal of Operational Research, Elsevier, vol. 207(1), pages 50-54, November.
  57. Jean B. Lasserre, 2013. "Inverse Polynomial Optimization," Mathematics of Operations Research, INFORMS, vol. 38(3), pages 418-436, August.
  58. Mintz, Yonatan & Aswani, Anil & Kaminsky, Philip & Flowers, Elena & Fukuoka, Yoshimi, 2023. "Behavioral analytics for myopic agents," European Journal of Operational Research, Elsevier, vol. 310(2), pages 793-811.
  59. Peter Brucker & Natalia V. Shakhlevich, 2016. "Necessary and sufficient optimality conditions for scheduling unit time jobs on identical parallel machines," Journal of Scheduling, Springer, vol. 19(6), pages 659-685, December.
  60. Rico Walter & Alexander Lawrinenko, 2020. "A characterization of optimal multiprocessor schedules and new dominance rules," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 876-900, November.
  61. Jonathan Yu-Meng Li, 2021. "Inverse Optimization of Convex Risk Functions," Management Science, INFORMS, vol. 67(11), pages 7113-7141, November.
  62. Gassner, Elisabeth, 2009. "Up- and downgrading the 1-center in a network," European Journal of Operational Research, Elsevier, vol. 198(2), pages 370-377, October.
  63. Javad Tayyebi & Ali Reza Sepasian, 2020. "Partial inverse min–max spanning tree problem," Journal of Combinatorial Optimization, Springer, vol. 40(4), pages 1075-1091, November.
  64. Mikael Rönnqvist & Gunnar Svenson & Patrik Flisberg & Lars-Erik Jönsson, 2017. "Calibrated Route Finder: Improving the Safety, Environmental Consciousness, and Cost Effectiveness of Truck Routing in Sweden," Interfaces, INFORMS, vol. 47(5), pages 372-395, October.
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