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Some Applications of the Theory of Dynamic Programming---A Review

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Cited by:

  1. Wadi Khalid Anuar & Lai Soon Lee & Hsin-Vonn Seow & Stefan Pickl, 2021. "A Multi-Depot Vehicle Routing Problem with Stochastic Road Capacity and Reduced Two-Stage Stochastic Integer Linear Programming Models for Rollout Algorithm," Mathematics, MDPI, vol. 9(13), pages 1-44, July.
  2. Wojdyła, Tomasz & Kimmel, Marek & Bobrowski, Adam, 2011. "Time to the MRCA of a sample in a Wright–Fisher model with variable population size," Theoretical Population Biology, Elsevier, vol. 80(4), pages 265-271.
  3. Abhijit Gosavi, 2009. "Reinforcement Learning: A Tutorial Survey and Recent Advances," INFORMS Journal on Computing, INFORMS, vol. 21(2), pages 178-192, May.
  4. Thomas L. Magnanti, 2021. "Optimization: From Its Inception," Management Science, INFORMS, vol. 67(9), pages 5349-5363, September.
  5. Alex Sharp & Glen Chalatov & Ryan P. Browne, 2023. "A dual subspace parsimonious mixture of matrix normal distributions," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 17(3), pages 801-822, September.
  6. Heiko Diefenbach & Simon Emde & Christoph H. Glock & Eric H. Grosse, 2022. "New solution procedures for the order picker routing problem in U-shaped pick areas with a movable depot," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 535-573, June.
  7. Xiaoyue Li & John M. Mulvey, 2023. "Optimal Portfolio Execution in a Regime-switching Market with Non-linear Impact Costs: Combining Dynamic Program and Neural Network," Papers 2306.08809, arXiv.org.
  8. Gunaseelan Mani & Arul Joseph Gnanaprakasam & Liliana Guran & Reny George & Zoran D. Mitrović, 2023. "Some Results in Fuzzy b -Metric Space with b -Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming," Mathematics, MDPI, vol. 11(19), pages 1-17, September.
  9. Powell, Warren B., 2019. "A unified framework for stochastic optimization," European Journal of Operational Research, Elsevier, vol. 275(3), pages 795-821.
  10. Pablo Fernández-Yáñez & José A. Soriano & Carmen Mata & Octavio Armas & Benjamín Pla & Vicente Bermúdez, 2021. "Simulation of Optimal Driving for Minimization of Fuel Consumption or NOx Emissions in a Diesel Vehicle," Energies, MDPI, vol. 14(17), pages 1-15, September.
  11. Deb, Kalyanmoy & Myburgh, Christie, 2017. "A population-based fast algorithm for a billion-dimensional resource allocation problem with integer variables," European Journal of Operational Research, Elsevier, vol. 261(2), pages 460-474.
  12. Mahmoud Mahfouz & Angelos Filos & Cyrine Chtourou & Joshua Lockhart & Samuel Assefa & Manuela Veloso & Danilo Mandic & Tucker Balch, 2019. "On the Importance of Opponent Modeling in Auction Markets," Papers 1911.12816, arXiv.org.
  13. Jing Xie & Peter I. Frazier, 2013. "Sequential Bayes-Optimal Policies for Multiple Comparisons with a Known Standard," Operations Research, INFORMS, vol. 61(5), pages 1174-1189, October.
  14. Raquel Sanchis & Raúl Poler, 2019. "Enterprise Resilience Assessment—A Quantitative Approach," Sustainability, MDPI, vol. 11(16), pages 1-13, August.
  15. Diefenbach, Heiko & Emde, Simon & Glock, Christoph H., 2020. "Loading tow trains ergonomically for just-in-time part supply," European Journal of Operational Research, Elsevier, vol. 284(1), pages 325-344.
  16. Alena Otto & Xiyu Li & Erwin Pesch, 2017. "Two-Way Bounded Dynamic Programming Approach for Operations Planning in Transshipment Yards," Transportation Science, INFORMS, vol. 51(1), pages 325-342, February.
  17. Kaitlyn Brown & Tamara Tambyah & Jack Fenwick & Patrick Grant & Michael Bode, 2022. "Choosing optimal trigger points for ex situ, in toto conservation of single population threatened species," PLOS ONE, Public Library of Science, vol. 17(4), pages 1-12, April.
  18. Gabriela Kov'av{c}ov'a & Birgit Rudloff, 2018. "Time consistency of the mean-risk problem," Papers 1806.10981, arXiv.org, revised Jan 2020.
  19. Matthias Breuer & David Windisch, 2019. "Investment Dynamics and Earnings‐Return Properties: A Structural Approach," Journal of Accounting Research, Wiley Blackwell, vol. 57(3), pages 639-674, June.
  20. Dale O. Stahl, 2017. "Dynamic programming and behavioral rules," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 165-174, October.
  21. Dhahri, Akrem & Gharbi, Ali & Ouhimmou, Mustapha, 2022. "Integrated production-transshipment control policy for a two-location unreliable manufacturing system," International Journal of Production Economics, Elsevier, vol. 247(C).
  22. Nima Anari & Rad Niazadeh & Amin Saberi & Ali Shameli, 2018. "Linear Programming Based Near-Optimal Pricing for Laminar Bayesian Online Selection," Papers 1807.05477, arXiv.org, revised Mar 2024.
  23. Shih-Hsien Tseng & Jia-Chen Yu, 2019. "Data-Driven Iron and Steel Inventory Control Policies," Mathematics, MDPI, vol. 7(8), pages 1-15, August.
  24. Michael J. Pennock & William B. Rouse & Diane L. Kollar, 2007. "Transforming the Acquisition Enterprise: A Framework for Analysis and a Case Study of Ship Acquisition," Systems Engineering, John Wiley & Sons, vol. 10(2), pages 99-117, June.
  25. Seixas, Mário & Barbosa, António, 2019. "Optimal Value-at-Risk Disclosure," MPRA Paper 97526, University Library of Munich, Germany.
  26. Contreras, Mauricio & Pellicer, Rely & Villena, Marcelo, 2017. "Dynamic optimization and its relation to classical and quantum constrained systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 12-25.
  27. Peng, Hujun & Chen, Zhu & Li, Jianxiang & Deng, Kai & Dirkes, Steffen & Gottschalk, Jonas & Ünlübayir, Cem & Thul, Andreas & Löwenstein, Lars & Pischinger, Stefan & Hameyer, Kay, 2021. "Offline optimal energy management strategies considering high dynamics in batteries and constraints on fuel cell system power rate: From analytical derivation to validation on test bench," Applied Energy, Elsevier, vol. 282(PA).
  28. G., Mauricio Contreras & Peña, Juan Pablo, 2019. "The quantum dark side of the optimal control theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 450-473.
  29. Ge, Fangsheng & Beullens, Patrick & Hudson, Dominic, 2021. "Optimal economic ship speeds, the chain effect, and future profit potential," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 168-196.
  30. Wu, Tong & Lawell, C.Y. Cynthia Lin & Just, David R. & Zhao, Jiancheng & Fei, Zhangjun & Wei, Qiang, 2022. "Optimal Forest Management for Interdependent Products: A Nested Dynamic Bioeconomic Model and Application to Bamboo," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322164, Agricultural and Applied Economics Association.
  31. Quetschlich, Mathias & Moetz, André & Otto, Boris, 2021. "Optimisation model for multi-item multi-echelon supply chains with nested multi-level products," European Journal of Operational Research, Elsevier, vol. 290(1), pages 144-158.
  32. Wadi Khalid Anuar & Lai Soon Lee & Hsin-Vonn Seow & Stefan Pickl, 2022. "A Multi-Depot Dynamic Vehicle Routing Problem with Stochastic Road Capacity: An MDP Model and Dynamic Policy for Post-Decision State Rollout Algorithm in Reinforcement Learning," Mathematics, MDPI, vol. 10(15), pages 1-70, July.
  33. Martin Fochmann & Florian Sachs & Abdolkarim Sadrieh & Joachim Weimann, 2018. "The two sides of public debt: Intergenerational altruism and burden shifting," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-27, August.
  34. Sergey Koledin & Kamila Koledina & Irek Gubaydullin, 2023. "Multiobjective Optimization of a Metal Complex Catalytic Reaction Based on a Detailed Kinetic Model with Parallelization of Calculations," Mathematics, MDPI, vol. 11(9), pages 1-16, April.
  35. Peng, Hujun & Li, Jianxiang & Löwenstein, Lars & Hameyer, Kay, 2020. "A scalable, causal, adaptive energy management strategy based on optimal control theory for a fuel cell hybrid railway vehicle," Applied Energy, Elsevier, vol. 267(C).
  36. Vincent Huang & James Unwin, 2019. "Markov Chain Models of Refugee Migration Data," Papers 1903.08255, arXiv.org.
  37. Robert, Marion & Thomas, Alban & Sekhar, Muddu & Badiger, Shrinivas & Ruiz, Laurent & Raynal, Hélène & Bergez, Jacques-Eric, 2017. "Adaptive and dynamic decision-making processes: A conceptual model of production systems on Indian farms," Agricultural Systems, Elsevier, vol. 157(C), pages 279-291.
  38. Harrold, Daniel J.B. & Cao, Jun & Fan, Zhong, 2022. "Data-driven battery operation for energy arbitrage using rainbow deep reinforcement learning," Energy, Elsevier, vol. 238(PC).
  39. Mizutani, Daijiro & Nakazato, Yuto & Ikushima, Rie & Satsukawa, Koki & Kawasaki, Yosuke & Kuwahara, Masao, 2024. "Optimal intervention policy of emergency storage batteries for expressway transportation systems considering deterioration risk during lead time of replacement," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
  40. Patrice Perny & Olivier Spanjaard & Louis-Xavier Storme, 2006. "A decision-theoretic approach to robust optimization in multivalued graphs," Annals of Operations Research, Springer, vol. 147(1), pages 317-341, October.
  41. Contreras G., Mauricio & Peña, Juan Pablo & Aros, Rodrigo, 2021. "Second class constraints and the consistency of optimal control theory in phase space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
  42. Schledorn, Amos & Junker, Rune Grønborg & Guericke, Daniela & Madsen, Henrik & Dominković, Dominik Franjo, 2022. "Frigg: Soft-linking energy system and demand response models," Applied Energy, Elsevier, vol. 317(C).
  43. Pustina, L. & Biral, F. & Serafini, J., 2022. "A novel Economic Nonlinear Model Predictive Controller for power maximisation on wind turbines," Renewable and Sustainable Energy Reviews, Elsevier, vol. 170(C).
  44. Yann Disser & John Fearnley & Martin Gairing & Oliver Göbel & Max Klimm & Daniel Schmand & Alexander Skopalik & Andreas Tönnis, 2020. "Hiring Secretaries over Time: The Benefit of Concurrent Employment," Mathematics of Operations Research, INFORMS, vol. 45(1), pages 323-352, February.
  45. Sean Williams & Michael Short & Tracey Crosbie & Maryam Shadman-Pajouh, 2020. "A Decentralized Informatics, Optimization, and Control Framework for Evolving Demand Response Services," Energies, MDPI, vol. 13(16), pages 1-30, August.
  46. Jiamian Lin & Xi Li & SingRu (Celine) Hoe & Zhongfeng Yan, 2023. "A Generalized Finite Difference Method for Solving Hamilton–Jacobi–Bellman Equations in Optimal Investment," Mathematics, MDPI, vol. 11(10), pages 1-20, May.
  47. Dicks, Matthew & Paskaramoorthy, Andrew & Gebbie, Tim, 2024. "A simple learning agent interacting with an agent-based market model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
  48. T. D. Pol & S. Gabbert & H.-P. Weikard & E. C. Ierland & E. M. T. Hendrix, 2017. "A Minimax Regret Analysis of Flood Risk Management Strategies Under Climate Change Uncertainty and Emerging Information," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 68(4), pages 1087-1109, December.
  49. Vanvuchelen, Nathalie & De Boeck, Kim & Boute, Robert N., 2024. "Cluster-based lateral transshipments for the Zambian health supply chain," European Journal of Operational Research, Elsevier, vol. 313(1), pages 373-386.
  50. Alex Sharp & Ryan Browne, 2021. "Functional data clustering by projection into latent generalized hyperbolic subspaces," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 15(3), pages 735-757, September.
  51. Haifa Jammeli & Majdi Argoubi & Hatem Masri, 2021. "A Bi-objective stochastic programming model for the household waste collection and transportation problem: case of the city of Sousse," Operational Research, Springer, vol. 21(3), pages 1613-1639, September.
  52. Iman Ahmadianfar & Saeed Noshadian & Nadir Ahmed Elagib & Meysam Salarijazi, 2021. "Robust Diversity-based Sine-Cosine Algorithm for Optimizing Hydropower Multi-reservoir Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(11), pages 3513-3538, September.
  53. Sasanka Adikari & Norou Diawara, 2024. "Utility in Time Description in Priority Best–Worst Discrete Choice Models: An Empirical Evaluation Using Flynn’s Data," Stats, MDPI, vol. 7(1), pages 1-18, February.
  54. Coit, David W. & Zio, Enrico, 2019. "The evolution of system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
  55. E. Cristiani & P. Martinon, 2010. "Initialization of the Shooting Method via the Hamilton-Jacobi-Bellman Approach," Journal of Optimization Theory and Applications, Springer, vol. 146(2), pages 321-346, August.
  56. Bartłomiej Kocot & Paweł Czarnul & Jerzy Proficz, 2023. "Energy-Aware Scheduling for High-Performance Computing Systems: A Survey," Energies, MDPI, vol. 16(2), pages 1-28, January.
  57. Raphael Zaccone, 2024. "A Dynamic Programming Approach to the Collision Avoidance of Autonomous Ships," Mathematics, MDPI, vol. 12(10), pages 1-22, May.
  58. Boute, Robert N. & Gijsbrechts, Joren & van Jaarsveld, Willem & Vanvuchelen, Nathalie, 2022. "Deep reinforcement learning for inventory control: A roadmap," European Journal of Operational Research, Elsevier, vol. 298(2), pages 401-412.
  59. David A. Goldberg & Martin I. Reiman & Qiong Wang, 2021. "A Survey of Recent Progress in the Asymptotic Analysis of Inventory Systems," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1718-1750, June.
  60. Peter Schober & Julian Valentin & Dirk Pflüger, 2022. "Solving High-Dimensional Dynamic Portfolio Choice Models with Hierarchical B-Splines on Sparse Grids," Computational Economics, Springer;Society for Computational Economics, vol. 59(1), pages 185-224, January.
  61. Esmaeili Aliabadi, Danial & Chan, Katrina, 2022. "The emerging threat of artificial intelligence on competition in liberalized electricity markets: A deep Q-network approach," Applied Energy, Elsevier, vol. 325(C).
  62. Weber, Thomas A. & Nguyen, Viet Anh, 2018. "A linear-quadratic Gaussian approach to dynamic information acquisition," European Journal of Operational Research, Elsevier, vol. 270(1), pages 260-281.
  63. Dawei Chen & Fangxu Mo & Ye Chen & Jun Zhang & Xinyu You, 2022. "Optimization of Ramp Locations along Freeways: A Dynamic Programming Approach," Sustainability, MDPI, vol. 14(15), pages 1-13, August.
  64. Li, Yapeng & Tang, Xiaolin & Lin, Xianke & Grzesiak, Lech & Hu, Xiaosong, 2022. "The role and application of convex modeling and optimization in electrified vehicles," Renewable and Sustainable Energy Reviews, Elsevier, vol. 153(C).
  65. Pesaran H.A, Mahmoud & Huy, Phung Dang & Ramachandaramurthy, Vigna K., 2017. "A review of the optimal allocation of distributed generation: Objectives, constraints, methods, and algorithms," Renewable and Sustainable Energy Reviews, Elsevier, vol. 75(C), pages 293-312.
  66. Yepes Rodríguez, R., 2005. "Análisis mediante teoría de juegos de la evolución de la competencia en el sector eléctrico español/Game theoretic analysis of the evolution of competition in Spanish power sector," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 23, pages 335-362, Agosto.
  67. Keyvan Eslami & Tom Phelan, 2023. "The Art of Temporal Approximation An Investigation into Numerical Solutions to Discrete and Continuous-Time Problems in Economics," Working Papers 23-10, Federal Reserve Bank of Cleveland.
  68. Iman Ahmadianfar & Omid Bozorg-Haddad & Xuefeng Chu, 2019. "Optimizing Multiple Linear Rules for Multi-Reservoir Hydropower Systems Using an Optimization Method with an Adaptation Strategy," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(12), pages 4265-4286, September.
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