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Efficient Monte Carlo Procedures for Generating Points Uniformly Distributed over Bounded Regions

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  1. Kim, B. & Gel, E.S. & Fowler, J.W. & Carlyle, W.M. & Wallenius, J., 2006. "Evaluation of nondominated solution sets for k-objective optimization problems: An exact method and approximations," European Journal of Operational Research, Elsevier, vol. 173(2), pages 565-582, September.
  2. Zdravko I. Botev & Pierre L'Ecuyer & Gerardo Rubino & Richard Simard & Bruno Tuffin, 2013. "Static Network Reliability Estimation via Generalized Splitting," INFORMS Journal on Computing, INFORMS, vol. 25(1), pages 56-71, February.
  3. A. B. Dieker & Santosh S. Vempala, 2015. "Stochastic Billiards for Sampling from the Boundary of a Convex Set," Mathematics of Operations Research, INFORMS, vol. 40(4), pages 888-901, October.
  4. Richard J. Caron & Tim Traynor & Shafiu Jibrin, 2010. "Feasibility and Constraint Analysis of Sets of Linear Matrix Inequalities," INFORMS Journal on Computing, INFORMS, vol. 22(1), pages 144-153, February.
  5. Huseyin Onur Mete & Zelda B. Zabinsky, 2014. "Multiobjective Interacting Particle Algorithm for Global Optimization," INFORMS Journal on Computing, INFORMS, vol. 26(3), pages 500-513, August.
  6. de Klerk, Etienne & Laurent, Monique, 2017. "Comparison of Lasserre's Measure-based Bounds for Polynomial Optimization to Bounds Obtained by Simulated Annealing," Other publications TiSEM 7a865ba0-bffb-43fb-a376-7, Tilburg University, School of Economics and Management.
  7. Arandarenko, Mihail & Corrente, Salvatore & Jandrić, Maja & Stamenković, Mladen, 2020. "Multiple criteria decision aiding as a prediction tool for migration potential of regions," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1154-1166.
  8. Kuo-Ling Huang & Sanjay Mehrotra, 2013. "An empirical evaluation of walk-and-round heuristics for mixed integer linear programs," Computational Optimization and Applications, Springer, vol. 55(3), pages 545-570, July.
  9. Jianzhe Zhen & Dick Hertog, 2017. "Centered solutions for uncertain linear equations," Computational Management Science, Springer, vol. 14(4), pages 585-610, October.
  10. Luca Anzilli & Silvio Giove, 2020. "Multi-criteria and medical diagnosis for application to health insurance systems: a general approach through non-additive measures," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 559-582, December.
  11. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore, 2014. "The SMAA-PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 239(2), pages 514-522.
  12. Yuanhui Zhang & Haipeng Wu & Brian T. Denton & James R. Wilson & Jennifer M. Lobo, 2019. "Probabilistic sensitivity analysis on Markov models with uncertain transition probabilities: an application in evaluating treatment decisions for type 2 diabetes," Health Care Management Science, Springer, vol. 22(1), pages 34-52, March.
  13. Stephen Baumert & Archis Ghate & Seksan Kiatsupaibul & Yanfang Shen & Robert L. Smith & Zelda B. Zabinsky, 2009. "Discrete Hit-and-Run for Sampling Points from Arbitrary Distributions Over Subsets of Integer Hyperrectangles," Operations Research, INFORMS, vol. 57(3), pages 727-739, June.
  14. H. E. Romeijn & Z. B. Zabinsky & D. L. Graesser & S. Neogi, 1999. "New Reflection Generator for Simulated Annealing in Mixed-Integer/Continuous Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 101(2), pages 403-427, May.
  15. Arcidiacono, Sally Giuseppe & Corrente, Salvatore & Greco, Salvatore, 2018. "GAIA-SMAA-PROMETHEE for a hierarchy of interacting criteria," European Journal of Operational Research, Elsevier, vol. 270(2), pages 606-624.
  16. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore & Słowiński, Roman, 2017. "A robust ranking method extending ELECTRE III to hierarchy of interacting criteria, imprecise weights and stochastic analysis," Omega, Elsevier, vol. 73(C), pages 1-17.
  17. Huseyin Mete & Yanfang Shen & Zelda Zabinsky & Seksan Kiatsupaibul & Robert Smith, 2011. "Pattern discrete and mixed Hit-and-Run for global optimization," Journal of Global Optimization, Springer, vol. 50(4), pages 597-627, August.
  18. de Klerk, Etienne & Laurent, Monique, 2018. "Comparison of Lasserre's measure-based bounds for polynomial optimization to bounds obtained by simulated annealing," Other publications TiSEM 78f8f496-dc89-413e-864d-f, Tilburg University, School of Economics and Management.
  19. Boris Polyak & Elena Gryazina, 2011. "Randomized methods based on new Monte Carlo schemes for control and optimization," Annals of Operations Research, Springer, vol. 189(1), pages 343-356, September.
  20. Qi Fan & Jiaqiao Hu, 2018. "Surrogate-Based Promising Area Search for Lipschitz Continuous Simulation Optimization," INFORMS Journal on Computing, INFORMS, vol. 30(4), pages 677-693, November.
  21. Kuo-Ling Huang & Sanjay Mehrotra, 2015. "An empirical evaluation of a walk-relax-round heuristic for mixed integer convex programs," Computational Optimization and Applications, Springer, vol. 60(3), pages 559-585, April.
  22. Angilella, Silvia & Corrente, Salvatore & Greco, Salvatore, 2015. "Stochastic multiobjective acceptability analysis for the Choquet integral preference model and the scale construction problem," European Journal of Operational Research, Elsevier, vol. 240(1), pages 172-182.
  23. Cyril Bachelard & Apostolos Chalkis & Vissarion Fisikopoulos & Elias Tsigaridas, 2023. "Randomized geometric tools for anomaly detection in stock markets," Post-Print hal-04223511, HAL.
  24. Corrente, S. & Figueira, J.R. & Greco, S., 2021. "Pairwise comparison tables within the deck of cards method in multiple criteria decision aiding," European Journal of Operational Research, Elsevier, vol. 291(2), pages 738-756.
  25. Cyril Bachelard & Apostolos Chalkis & Vissarion Fisikopoulos & Elias Tsigaridas, 2022. "Randomized geometric tools for anomaly detection in stock markets," Papers 2205.03852, arXiv.org, revised May 2022.
  26. Chiarawongse, Anant & Kiatsupaibul, Seksan & Tirapat, Sunti & Roy, Benjamin Van, 2012. "Portfolio selection with qualitative input," Journal of Banking & Finance, Elsevier, vol. 36(2), pages 489-496.
  27. Postek, Krzysztof & Ben-Tal, A. & den Hertog, Dick & Melenberg, Bertrand, 2015. "Exact Robust Counterparts of Ambiguous Stochastic Constraints Under Mean and Dispersion Information," Other publications TiSEM d718e419-a375-4707-b206-e, Tilburg University, School of Economics and Management.
  28. David E. Kaufman & Robert L. Smith, 1998. "Direction Choice for Accelerated Convergence in Hit-and-Run Sampling," Operations Research, INFORMS, vol. 46(1), pages 84-95, February.
  29. Riley Badenbroek & Etienne Klerk, 2022. "Simulated Annealing for Convex Optimization: Rigorous Complexity Analysis and Practical Perspectives," Journal of Optimization Theory and Applications, Springer, vol. 194(2), pages 465-491, August.
  30. Tan Wang & Genaro Gutierrez, 2022. "Robust Product Line Design by Protecting the Downside While Minding the Upside," Production and Operations Management, Production and Operations Management Society, vol. 31(1), pages 194-217, January.
  31. Kiatsupaibul, Seksan & J. Hayter, Anthony & Liu, Wei, 2017. "Rank constrained distribution and moment computations," Computational Statistics & Data Analysis, Elsevier, vol. 105(C), pages 229-242.
  32. Hallerbach, W.G.P.M. & Pouchkarev, I., 2005. "A Relative View on Tracking Error," ERIM Report Series Research in Management ERS-2005-063-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  33. Pavel Shcherbakov & Mingyue Ding & Ming Yuchi, 2021. "Random Sampling Many-Dimensional Sets Arising in Control," Mathematics, MDPI, vol. 9(5), pages 1-16, March.
  34. Silvia Angilella & Maria Rosaria Pappalardo, 2022. "Performance assessment of energy companies employing Hierarchy Stochastic Multi-Attribute Acceptability Analysis," Operational Research, Springer, vol. 22(1), pages 299-370, March.
  35. Reuven Rubinstein, 2009. "The Gibbs Cloner for Combinatorial Optimization, Counting and Sampling," Methodology and Computing in Applied Probability, Springer, vol. 11(4), pages 491-549, December.
  36. Enda Murphy & James E. Killen, 2011. "Commuting Economy," Urban Studies, Urban Studies Journal Limited, vol. 48(6), pages 1255-1272, May.
  37. Zhang, Zhiying & Liao, Huchang & Tang, Anbin, 2022. "Renewable energy portfolio optimization with public participation under uncertainty: A hybrid multi-attribute multi-objective decision-making method," Applied Energy, Elsevier, vol. 307(C).
  38. Postek, Krzysztof & Romeijnders, Ward & den Hertog, Dick & van der Vlerk, Maartne H., 2016. "Efficient Methods for Several Classes of Ambiguous Stochastic Programming Problems under Mean-MAD Information," Discussion Paper 2016-039, Tilburg University, Center for Economic Research.
  39. Tsionas, Mike G., 2020. "A coherent approach to Bayesian Data Envelopment Analysis," European Journal of Operational Research, Elsevier, vol. 281(2), pages 439-448.
  40. Xun Shen & Satoshi Ito, 2024. "Approximate Methods for Solving Chance-Constrained Linear Programs in Probability Measure Space," Journal of Optimization Theory and Applications, Springer, vol. 200(1), pages 150-177, January.
  41. Ciomek, Krzysztof & Kadziński, Miłosz & Tervonen, Tommi, 2017. "Heuristics for prioritizing pair-wise elicitation questions with additive multi-attribute value models," Omega, Elsevier, vol. 71(C), pages 27-45.
  42. (Jeff) Ban, Xuegang & Ferris, Michael C. & Tang, Lisa & Lu, Shu, 2013. "Risk-neutral second best toll pricing," Transportation Research Part B: Methodological, Elsevier, vol. 48(C), pages 67-87.
  43. Nabil Kahalé, 2019. "Efficient Simulation of High Dimensional Gaussian Vectors," Mathematics of Operations Research, INFORMS, vol. 44(1), pages 58-73, February.
  44. Luis V. Montiel & J. Eric Bickel, 2013. "Generating a Random Collection of Discrete Joint Probability Distributions Subject to Partial Information," Methodology and Computing in Applied Probability, Springer, vol. 15(4), pages 951-967, December.
  45. Ru, Zice & Liu, Jiapeng & Kadziński, Miłosz & Liao, Xiuwu, 2023. "Probabilistic ordinal regression methods for multiple criteria sorting admitting certain and uncertain preferences," European Journal of Operational Research, Elsevier, vol. 311(2), pages 596-616.
  46. repec:jss:jstsof:30:c01 is not listed on IDEAS
  47. Etienne de Klerk & Monique Laurent, 2018. "Comparison of Lasserre’s Measure-Based Bounds for Polynomial Optimization to Bounds Obtained by Simulated Annealing," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1317-1325, November.
  48. Badenbroek, Riley & de Klerk, Etienne, 2022. "Complexity analysis of a sampling-based interior point method for convex optimization," Other publications TiSEM 3d774c6d-8141-4f31-a621-5, Tilburg University, School of Economics and Management.
  49. Silvia Angilella & Sally Giuseppe Arcidiacono & Salvatore Corrente & Salvatore Greco & Benedetto Matarazzo, 2020. "An application of the SMAA–Choquet method to evaluate the performance of sailboats in offshore regattas," Operational Research, Springer, vol. 20(2), pages 771-793, June.
  50. Shyamalkumar, Nariankadu D. & Tao, Siyang, 2022. "t-copula from the viewpoint of tail dependence matrices," Journal of Multivariate Analysis, Elsevier, vol. 191(C).
  51. Cheng, Haiyan & Sandu, Adrian, 2009. "Efficient uncertainty quantification with the polynomial chaos method for stiff systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3278-3295.
  52. Angilella, Silvia & Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2016. "Robust Ordinal Regression and Stochastic Multiobjective Acceptability Analysis in multiple criteria hierarchy process for the Choquet integral preference model," Omega, Elsevier, vol. 63(C), pages 154-169.
  53. Costa, Ana Sara & Corrente, Salvatore & Greco, Salvatore & Figueira, José Rui & Borbinha, José, 2020. "A robust hierarchical nominal multicriteria classification method based on similarity and dissimilarity," European Journal of Operational Research, Elsevier, vol. 286(3), pages 986-1001.
  54. Hazan, Aurélien, 2017. "Volume of the steady-state space of financial flows in a monetary stock-flow-consistent model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 589-602.
  55. Siskos, Eleftherios & Tsotsolas, Nikos, 2015. "Elicitation of criteria importance weights through the Simos method: A robustness concern," European Journal of Operational Research, Elsevier, vol. 246(2), pages 543-553.
  56. de Klerk, Etienne & Badenbroek, Riley, 2022. "Simulated annealing with hit-and-run for convex optimization: complexity analysis and practical perspectives," Other publications TiSEM 323b4588-65e0-4889-a555-9, Tilburg University, School of Economics and Management.
  57. Dimitris Bertsimas & Allison O'Hair, 2013. "Learning Preferences Under Noise and Loss Aversion: An Optimization Approach," Operations Research, INFORMS, vol. 61(5), pages 1190-1199, October.
  58. Jing Voon Chen & Julia L. Higle & Michael Hintlian, 2018. "A systematic approach for examining the impact of calibration uncertainty in disease modeling," Computational Management Science, Springer, vol. 15(3), pages 541-561, October.
  59. Serpil Sayin, 2003. "A Procedure to Find Discrete Representations of the Efficient Set with Specified Coverage Errors," Operations Research, INFORMS, vol. 51(3), pages 427-436, June.
  60. Gryazina, Elena & Polyak, Boris, 2014. "Random sampling: Billiard Walk algorithm," European Journal of Operational Research, Elsevier, vol. 238(2), pages 497-504.
  61. Francesca Abastante & Salvatore Corrente & Salvatore Greco & Isabella M. Lami & Beatrice Mecca, 2022. "The introduction of the SRF-II method to compare hypothesis of adaptive reuse for an iconic historical building," Operational Research, Springer, vol. 22(3), pages 2397-2436, July.
  62. Tervonen, Tommi & van Valkenhoef, Gert & Baştürk, Nalan & Postmus, Douwe, 2013. "Hit-And-Run enables efficient weight generation for simulation-based multiple criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 224(3), pages 552-559.
  63. Postek, Krzysztof & Romeijnders, Ward & den Hertog, Dick & van der Vlerk, Maartne H., 2016. "Efficient Methods for Several Classes of Ambiguous Stochastic Programming Problems under Mean-MAD Information," Other publications TiSEM a03f895f-b941-41a9-84e0-b, Tilburg University, School of Economics and Management.
  64. Luis Rios & Nikolaos Sahinidis, 2013. "Derivative-free optimization: a review of algorithms and comparison of software implementations," Journal of Global Optimization, Springer, vol. 56(3), pages 1247-1293, July.
  65. Xu, Chunhui & Ng, Peggy, 2006. "A soft approach for hard continuous optimization," European Journal of Operational Research, Elsevier, vol. 173(1), pages 18-29, August.
  66. Bélisle, Claude, 2000. "Slow hit-and-run sampling," Statistics & Probability Letters, Elsevier, vol. 47(1), pages 33-43, March.
  67. Jan Heufer, 2014. "Generating Random Optimising Choices," Computational Economics, Springer;Society for Computational Economics, vol. 44(3), pages 295-305, October.
  68. Sorawit Saengkyongam & Anthony Hayter & Seksan Kiatsupaibul & Wei Liu, 2020. "Efficient computation of the stochastic behavior of partial sum processes," Computational Statistics, Springer, vol. 35(1), pages 343-358, March.
  69. Aur'elien Hazan, 2016. "Volume of the steady-state space of financial flows in a monetary stock-flow-consistent model," Papers 1601.00822, arXiv.org, revised Jan 2017.
  70. Luis V. Montiel & J. Eric Bickel, 2013. "Approximating Joint Probability Distributions Given Partial Information," Decision Analysis, INFORMS, vol. 10(1), pages 26-41, March.
  71. Joan Davins-Valldaura & Saïd Moussaoui & Guillermo Pita-Gil & Franck Plestan, 2017. "ParEGO extensions for multi-objective optimization of expensive evaluation functions," Journal of Global Optimization, Springer, vol. 67(1), pages 79-96, January.
  72. van Valkenhoef, Gert & Tervonen, Tommi & Postmus, Douwe, 2014. "Notes on ‘Hit-And-Run enables efficient weight generation for simulation-based multiple criteria decision analysis’," European Journal of Operational Research, Elsevier, vol. 239(3), pages 865-867.
  73. Cyril Bachelard & Apostolos Chalkis & Vissarion Fisikopoulos & Elias Tsigaridas, 2024. "Randomized Control in Performance Analysis and Empirical Asset Pricing," Papers 2403.00009, arXiv.org.
  74. Grace, Adam W. & Wood, Ian A., 2012. "Approximating the tail of the Anderson–Darling distribution," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4301-4311.
  75. Mirjam Dür & Charoenchai Khompatraporn & Zelda Zabinsky, 2007. "Solving fractional problems with dynamic multistart improving hit-and-run," Annals of Operations Research, Springer, vol. 156(1), pages 25-44, December.
  76. Luis V. Montiel & J. Eric Bickel, 2014. "A Generalized Sampling Approach for Multilinear Utility Functions Given Partial Preference Information," Decision Analysis, INFORMS, vol. 11(3), pages 147-170, September.
  77. Luis V. Montiel & J. Eric Bickel, 2012. "A Simulation-Based Approach to Decision Making with Partial Information," Decision Analysis, INFORMS, vol. 9(4), pages 329-347, December.
  78. Postek, Krzysztof & Ben-Tal, A. & den Hertog, Dick & Melenberg, Bertrand, 2015. "Exact Robust Counterparts of Ambiguous Stochastic Constraints Under Mean and Dispersion Information," Discussion Paper 2015-030, Tilburg University, Center for Economic Research.
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