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Improved Linear Integer Programming Formulations of Nonlinear Integer Problems

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Cited by:

  1. Billionnet, Alain, 2013. "Mathematical optimization ideas for biodiversity conservation," European Journal of Operational Research, Elsevier, vol. 231(3), pages 514-534.
  2. Qiu, Yuzhuo & Qiao, Jun & Pardalos, Panos M., 2019. "Optimal production, replenishment, delivery, routing and inventory management policies for products with perishable inventory," Omega, Elsevier, vol. 82(C), pages 193-204.
  3. Benjamin Beach & Robert Hildebrand & Joey Huchette, 2022. "Compact mixed-integer programming formulations in quadratic optimization," Journal of Global Optimization, Springer, vol. 84(4), pages 869-912, December.
  4. Hoai Thi & Duc Tran, 2014. "New and efficient algorithms for transfer prices and inventory holding policies in two-enterprise supply chains," Journal of Global Optimization, Springer, vol. 60(1), pages 5-24, September.
  5. Alexandre Colaers Andersen & Konstantin Pavlikov & Túlio A. M. Toffolo, 2022. "Weapon-target assignment problem: exact and approximate solution algorithms," Annals of Operations Research, Springer, vol. 312(2), pages 581-606, May.
  6. Unai Aldasoro & María Merino & Gloria Pérez, 2019. "Time consistent expected mean-variance in multistage stochastic quadratic optimization: a model and a matheuristic," Annals of Operations Research, Springer, vol. 280(1), pages 151-187, September.
  7. Bahman Kalantari & Ansuman Bagchi, 1990. "An algorithm for quadratic zero‐one programs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(4), pages 527-538, August.
  8. Sun, Xuting & Chung, Sai-Ho & Choi, Tsan-Ming & Sheu, Jiuh-Biing & Ma, Hoi Lam, 2020. "Combating lead-time uncertainty in global supply chain's shipment-assignment: Is it wise to be risk-averse?," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 406-434.
  9. Hennig, F. & Nygreen, B. & Furman, K.C. & Song, J., 2015. "Alternative approaches to the crude oil tanker routing and scheduling problem with split pickup and split delivery," European Journal of Operational Research, Elsevier, vol. 243(1), pages 41-51.
  10. 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.
  11. D. Quadri & E. Soutif & P. Tolla, 2009. "Exact solution method to solve large scale integer quadratic multidimensional knapsack problems," Journal of Combinatorial Optimization, Springer, vol. 17(2), pages 157-167, February.
  12. H. K. Fung & S. Rao & C. A. Floudas & O. Prokopyev & P. M. Pardalos & F. Rendl, 2005. "Computational Comparison Studies of Quadratic Assignment Like Formulations for the In Silico Sequence Selection Problem in De Novo Protein Design," Journal of Combinatorial Optimization, Springer, vol. 10(1), pages 41-60, August.
  13. Flores, Salvador, 2015. "SOCP relaxation bounds for the optimal subset selection problem applied to robust linear regression," European Journal of Operational Research, Elsevier, vol. 246(1), pages 44-50.
  14. Karsu, Özlem & Morton, Alec, 2014. "Incorporating balance concerns in resource allocation decisions: A bi-criteria modelling approach," Omega, Elsevier, vol. 44(C), pages 70-82.
  15. Wakui, Tetsuya & Kawayoshi, Hiroki & Yokoyama, Ryohei, 2016. "Optimal structural design of residential power and heat supply devices in consideration of operational and capital recovery constraints," Applied Energy, Elsevier, vol. 163(C), pages 118-133.
  16. Rebello, Ranjit & Agnetis, Alessandro & Mirchandani, Pitu B., 1995. "Specialized inspection problems in serial production systems," European Journal of Operational Research, Elsevier, vol. 80(2), pages 277-296, January.
  17. Ricardo M. Lima & Ignacio E. Grossmann, 2017. "On the solution of nonconvex cardinality Boolean quadratic programming problems: a computational study," Computational Optimization and Applications, Springer, vol. 66(1), pages 1-37, January.
  18. Bjørndal, Endre & Jörnsten, Kurt, 2009. "Lower and upper bounds for linear production games," European Journal of Operational Research, Elsevier, vol. 196(2), pages 476-486, July.
  19. Christodoulos Floudas & Xiaoxia Lin, 2005. "Mixed Integer Linear Programming in Process Scheduling: Modeling, Algorithms, and Applications," Annals of Operations Research, Springer, vol. 139(1), pages 131-162, October.
  20. Sheng Liu & Long He & Zuo-Jun Max Shen, 2021. "On-Time Last-Mile Delivery: Order Assignment with Travel-Time Predictors," Management Science, INFORMS, vol. 67(7), pages 4095-4119, July.
  21. Bretthauer, Kurt M. & Ross, Anthony & Shetty, Bala, 1999. "Nonlinear integer programming for optimal allocation in stratified sampling," European Journal of Operational Research, Elsevier, vol. 116(3), pages 667-680, August.
  22. Gupta, Renu & Bandopadhyaya, Lakshmisree & Puri, M. C., 1996. "Ranking in quadratic integer programming problems," European Journal of Operational Research, Elsevier, vol. 95(1), pages 231-236, November.
  23. Angel L. Cedeño & Reinier López Ahuar & José Rojas & Gonzalo Carvajal & César Silva & Juan C. Agüero, 2022. "Model Predictive Control for Photovoltaic Plants with Non-Ideal Energy Storage Using Mixed Integer Linear Programming," Energies, MDPI, vol. 15(17), pages 1-21, September.
  24. Osman, Hany & Demirli, Kudret, 2010. "A bilinear goal programming model and a modified Benders decomposition algorithm for supply chain reconfiguration and supplier selection," International Journal of Production Economics, Elsevier, vol. 124(1), pages 97-105, March.
  25. R. Lougee-Heimer & W. Adams, 2005. "A Conditional Logic Approach for Strengthening Mixed 0-1 Linear Programs," Annals of Operations Research, Springer, vol. 139(1), pages 289-320, October.
  26. Martina Fischetti & Michele Monaci, 2016. "Proximity search heuristics for wind farm optimal layout," Journal of Heuristics, Springer, vol. 22(4), pages 459-474, August.
  27. Rieder, Andreas & Christidis, Andreas & Tsatsaronis, George, 2014. "Multi criteria dynamic design optimization of a small scale distributed energy system," Energy, Elsevier, vol. 74(C), pages 230-239.
  28. Martí, Rafael & Gallego, Micael & Duarte, Abraham, 2010. "A branch and bound algorithm for the maximum diversity problem," European Journal of Operational Research, Elsevier, vol. 200(1), pages 36-44, January.
  29. Christidis, Andreas & Koch, Christoph & Pottel, Lothar & Tsatsaronis, George, 2012. "The contribution of heat storage to the profitable operation of combined heat and power plants in liberalized electricity markets," Energy, Elsevier, vol. 41(1), pages 75-82.
  30. Alain Billionnet & Éric Soutif, 2004. "Using a Mixed Integer Programming Tool for Solving the 0–1 Quadratic Knapsack Problem," INFORMS Journal on Computing, INFORMS, vol. 16(2), pages 188-197, May.
  31. Gino J. Lim & M. Reza Baharnemati & Seon Jin Kim, 2016. "An optimization approach for real time evacuation reroute planning," Annals of Operations Research, Springer, vol. 238(1), pages 375-388, March.
  32. Jih-Jeng Huang, 2016. "Resource decision making for vertical and horizontal integration problems in an enterprise," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(11), pages 1363-1372, November.
  33. Asli Sahin & Daniel R. Weilandt & Vassily Hatzimanikatis, 2023. "Optimal enzyme utilization suggests that concentrations and thermodynamics determine binding mechanisms and enzyme saturations," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
  34. Nadjib Brahimi & Tarik Aouam, 2016. "Multi-item production routing problem with backordering: a MILP approach," International Journal of Production Research, Taylor & Francis Journals, vol. 54(4), pages 1076-1093, February.
  35. Mamadou Koné & Mouhamadou A.M.T. Baldé & Babacar M. Ndiaye, 2019. "A Dichotomic Algorithm for Transportation Network and Land Use Problem," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(1), pages 42-56, February.
  36. Arkadiusz J. Derkacz & Agnieszka Dudziak & Monika Stoma, 2021. "General Concept of Business Process Measures in the Circular Economy," Sustainability, MDPI, vol. 13(22), pages 1-14, November.
  37. Tsan Sheng Ng & Shuming Wang, 2017. "Recycling systems design using reservation incentive data," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(10), pages 1236-1258, October.
  38. Warren P. Adams & Stephen M. Henry, 2012. "Base-2 Expansions for Linearizing Products of Functions of Discrete Variables," Operations Research, INFORMS, vol. 60(6), pages 1477-1490, December.
  39. Yanina Fumero & Gabriela Corsano & Jorge M. Montagna, 2017. "An MILP model for planning of batch plants operating in a campaign-mode," Annals of Operations Research, Springer, vol. 258(2), pages 415-435, November.
  40. Gjerdrum, Jonatan & Shah, Nilay & Papageorgiou, Lazaros G., 2002. "Fair transfer price and inventory holding policies in two-enterprise supply chains," European Journal of Operational Research, Elsevier, vol. 143(3), pages 582-599, December.
  41. Raffaele Carli & Mariagrazia Dotoli & Salvatore Digiesi & Francesco Facchini & Giorgio Mossa, 2020. "Sustainable Scheduling of Material Handling Activities in Labor-Intensive Warehouses: A Decision and Control Model," Sustainability, MDPI, vol. 12(8), pages 1-25, April.
  42. Warren Adams & Hanif Sherali, 2005. "A Hierarchy of Relaxations Leading to the Convex Hull Representation for General Discrete Optimization Problems," Annals of Operations Research, Springer, vol. 140(1), pages 21-47, November.
  43. J-J Huang & G-H Tzeng & C-S Ong, 2006. "Choosing best alliance partners and allocating optimal alliance resources using the fuzzy multi-objective dummy programming model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1216-1223, October.
  44. Leenders, Ludger & Bahl, Björn & Hennen, Maike & Bardow, André, 2019. "Coordinating scheduling of production and utility system using a Stackelberg game," Energy, Elsevier, vol. 175(C), pages 1283-1295.
  45. Wakui, Tetsuya & Akai, Kazuki & Yokoyama, Ryohei, 2022. "Shrinking and receding horizon approaches for long-term operational planning of energy storage and supply systems," Energy, Elsevier, vol. 239(PD).
  46. Voll, Philip & Klaffke, Carsten & Hennen, Maike & Bardow, André, 2013. "Automated superstructure-based synthesis and optimization of distributed energy supply systems," Energy, Elsevier, vol. 50(C), pages 374-388.
  47. de Oliveira, Glauber Cardoso & Bertone, Edoardo & Stewart, Rodney A., 2022. "Optimisation modelling tools and solving techniques for integrated precinct-scale energy–water system planning," Applied Energy, Elsevier, vol. 318(C).
  48. Yokoyama, Ryohei & Takeuchi, Kotaro & Shinano, Yuji & Wakui, Tetsuya, 2021. "Effect of model reduction by time aggregation in multiobjective optimal design of energy supply systems by a hierarchical MILP method," Energy, Elsevier, vol. 228(C).
  49. Alexander Mitsos, 2010. "Global solution of nonlinear mixed-integer bilevel programs," Journal of Global Optimization, Springer, vol. 47(4), pages 557-582, August.
  50. Nicoletti, Jack & You, Fengqi, 2020. "Multiobjective economic and environmental optimization of global crude oil purchase and sale planning with noncooperative stakeholders," Applied Energy, Elsevier, vol. 259(C).
  51. Gino Lim & M. Baharnemati & Seon Kim, 2016. "An optimization approach for real time evacuation reroute planning," Annals of Operations Research, Springer, vol. 238(1), pages 375-388, March.
  52. Bahl, Björn & Lampe, Matthias & Voll, Philip & Bardow, André, 2017. "Optimization-based identification and quantification of demand-side management potential for distributed energy supply systems," Energy, Elsevier, vol. 135(C), pages 889-899.
  53. Richard J. Forrester & Warren P. Adams & Paul T. Hadavas, 2010. "Concise RLT forms of binary programs: A computational study of the quadratic knapsack problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(1), pages 1-12, February.
  54. David Bergman, 2019. "An Exact Algorithm for the Quadratic Multiknapsack Problem with an Application to Event Seating," INFORMS Journal on Computing, INFORMS, vol. 31(3), pages 477-492, July.
  55. Bhattacharya, Subir & Bose, Sumit Kumar, 2007. "Mathematical model for scheduling operations in cascaded continuous processing units," European Journal of Operational Research, Elsevier, vol. 182(1), pages 1-14, October.
  56. Nur Kaynar & Auyon Siddiq, 2023. "Estimating Effects of Incentive Contracts in Online Labor Platforms," Management Science, INFORMS, vol. 69(4), pages 2106-2126, April.
  57. Nouira, Imen & Hammami, Ramzi & Fernandez Arias, Alina & Gondran, Natacha & Frein, Yannick, 2022. "Olive oil supply chain design with organic and conventional market segments and consumers’ preference to local products," International Journal of Production Economics, Elsevier, vol. 247(C).
  58. Frank Meijer & Renata Sotirov, 2020. "The quadratic cycle cover problem: special cases and efficient bounds," Journal of Combinatorial Optimization, Springer, vol. 39(4), pages 1096-1128, May.
  59. Mathias Stolpe, 2015. "Truss topology optimization with discrete design variables by outer approximation," Journal of Global Optimization, Springer, vol. 61(1), pages 139-163, January.
  60. Yokoyama, Ryohei & Kitano, Hiroyuki & Wakui, Tetsuya, 2017. "Optimal operation of heat supply systems with piping network," Energy, Elsevier, vol. 137(C), pages 888-897.
  61. Parreño, Francisco & Álvarez-Valdés, Ramón & Martí, Rafael, 2021. "Measuring diversity. A review and an empirical analysis," European Journal of Operational Research, Elsevier, vol. 289(2), pages 515-532.
  62. Tian, Xueyu & You, Fengqi, 2019. "Carbon-neutral hybrid energy systems with deep water source cooling, biomass heating, and geothermal heat and power," Applied Energy, Elsevier, vol. 250(C), pages 413-432.
  63. Florensa, Carlos & Garcia-Herreros, Pablo & Misra, Pratik & Arslan, Erdem & Mehta, Sanjay & Grossmann, Ignacio E., 2017. "Capacity planning with competitive decision-makers: Trilevel MILP formulation, degeneracy, and solution approaches," European Journal of Operational Research, Elsevier, vol. 262(2), pages 449-463.
  64. Mørch, Ove & Fagerholt, Kjetil & Pantuso, Giovanni & Rakke, Jørgen, 2017. "Maximizing the rate of return on the capital employed in shipping capacity renewal," Omega, Elsevier, vol. 67(C), pages 42-53.
  65. Billionnet, Alain, 2004. "Mixed integer programming for the 0-1 maximum probability model," European Journal of Operational Research, Elsevier, vol. 156(1), pages 83-91, July.
  66. Matteo Avolio, 2023. "Balancing the Average Weighted Completion Times in Large-Scale Two-Agent Scheduling Problems: An Evolutionary-Type Computational Study," Mathematics, MDPI, vol. 11(19), pages 1-15, September.
  67. Feng, Wei & Feng, Yiping & Zhang, Qi, 2021. "Multistage robust mixed-integer optimization under endogenous uncertainty," European Journal of Operational Research, Elsevier, vol. 294(2), pages 460-475.
  68. David Bergman & Leonardo Lozano, 2021. "Decision Diagram Decomposition for Quadratically Constrained Binary Optimization," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 401-418, January.
  69. Biswas, Debajyoti & Alfandari, Laurent, 2022. "Designing an optimal sequence of non‐pharmaceutical interventions for controlling COVID-19," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1372-1391.
  70. Sergio Rech, 2019. "Smart Energy Systems: Guidelines for Modelling and Optimizing a Fleet of Units of Different Configurations," Energies, MDPI, vol. 12(7), pages 1-36, April.
  71. Sarker, Bhaba R. & Wilhelm, Wilbert E. & Hogg, Gary L. & Han, Min-Hong, 1995. "Backtracking of jobs in one-dimensional machine location problems," European Journal of Operational Research, Elsevier, vol. 85(3), pages 593-609, September.
  72. Amir Ahmadi-Javid & Mohammadreza Fathi, 2022. "Design of multi-service systems with facilities functioning as open Jackson queueing networks: application to online shopping stores," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(4), pages 1255-1286, December.
  73. Liberatore, Federico & Scaparra, Maria P. & Daskin, Mark S., 2012. "Hedging against disruptions with ripple effects in location analysis," Omega, Elsevier, vol. 40(1), pages 21-30, January.
  74. M. Hosein Zare & Juan S. Borrero & Bo Zeng & Oleg A. Prokopyev, 2019. "A note on linearized reformulations for a class of bilevel linear integer problems," Annals of Operations Research, Springer, vol. 272(1), pages 99-117, January.
  75. Francesco Liberati & Alessandro Di Giorgio, 2017. "Economic Model Predictive and Feedback Control of a Smart Grid Prosumer Node," Energies, MDPI, vol. 11(1), pages 1-23, December.
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  77. Zhao, Ning & You, Fengqi, 2019. "Dairy waste-to-energy incentive policy design using Stackelberg-game-based modeling and optimization," Applied Energy, Elsevier, vol. 254(C).
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  80. Behdad Beheshti & Oleg A. Prokopyev & Eduardo L. Pasiliao, 2016. "Exact solution approaches for bilevel assignment problems," Computational Optimization and Applications, Springer, vol. 64(1), pages 215-242, May.
  81. Young Woong Park & Diego Klabjan, 2020. "Subset selection for multiple linear regression via optimization," Journal of Global Optimization, Springer, vol. 77(3), pages 543-574, July.
  82. Juan S. Borrero & Colin Gillen & Oleg A. Prokopyev, 2017. "Fractional 0–1 programming: applications and algorithms," Journal of Global Optimization, Springer, vol. 69(1), pages 255-282, September.
  83. Verbiest, Floor & Cornelissens, Trijntje & Springael, Johan, 2019. "A matheuristic approach for the design of multiproduct batch plants with parallel production lines," European Journal of Operational Research, Elsevier, vol. 273(3), pages 933-947.
  84. Timmerman, Jonas & Hennen, Maike & Bardow, André & Lodewijks, Pieter & Vandevelde, Lieven & Van Eetvelde, Greet, 2017. "Towards low carbon business park energy systems: A holistic techno-economic optimisation model," Energy, Elsevier, vol. 125(C), pages 747-770.
  85. Fishburn, Peter C. & LaValle, Irving H., 1996. "Binary interactions and subset choice," European Journal of Operational Research, Elsevier, vol. 92(1), pages 182-192, July.
  86. Serigne Gueye & Philippe Michelon, 2005. "“Miniaturized” Linearizations for Quadratic 0/1 Problems," Annals of Operations Research, Springer, vol. 140(1), pages 235-261, November.
  87. Richard J. Forrester & Lucas A. Waddell, 2022. "Strengthening a linear reformulation of the 0-1 cubic knapsack problem via variable reordering," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 498-517, August.
  88. Yang Wang & Wei Yang & Abraham P. Punnen & Jingbo Tian & Aihua Yin & Zhipeng Lü, 2021. "The Rank-One Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 979-996, July.
  89. Hyung-Chul Jo & Rakkyung Ko & Sung-Kwan Joo, 2019. "Generator Maintenance Scheduling Method Using Transformation of Mixed Integer Polynomial Programming in a Power System Incorporating Demand Response," Energies, MDPI, vol. 12(9), pages 1-14, April.
  90. Jingyang Zhou & Peter E.D. Love & Kok Lay Teo & Hanbin Luo, 2017. "An exact penalty function method for optimising QAP formulation in facility layout problem," International Journal of Production Research, Taylor & Francis Journals, vol. 55(10), pages 2913-2929, May.
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  97. Rostami, Borzou & Chassein, André & Hopf, Michael & Frey, Davide & Buchheim, Christoph & Malucelli, Federico & Goerigk, Marc, 2018. "The quadratic shortest path problem: complexity, approximability, and solution methods," European Journal of Operational Research, Elsevier, vol. 268(2), pages 473-485.
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  101. Laureano F. Escudero & Celeste Pizarro Romero, 2017. "On solving a large-scale problem on facility location and customer assignment with interaction costs along a time horizon," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(3), pages 601-622, October.
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  103. Dimitris Bertsimas & Ryan Cory-Wright, 2022. "A Scalable Algorithm for Sparse Portfolio Selection," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1489-1511, May.
  104. Renaldi, R. & Kiprakis, A. & Friedrich, D., 2017. "An optimisation framework for thermal energy storage integration in a residential heat pump heating system," Applied Energy, Elsevier, vol. 186(P3), pages 520-529.
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  109. Federico Della Croce & Dominique Quadri, 2012. "Improving an exact approach for solving separable integer quadratic knapsack problems," Journal of Combinatorial Optimization, Springer, vol. 23(1), pages 21-28, January.
  110. Fabio Furini & Emiliano Traversi, 2019. "Theoretical and computational study of several linearisation techniques for binary quadratic problems," Annals of Operations Research, Springer, vol. 279(1), pages 387-411, August.
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