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  1. Dynamic Programming

    Dynamic programming is an approach to solving dynamic optimization problems, centred on properties of the value function, that is the minimum cost...
    Piernicola Bettiol, Richard Vinter in Principles of Dynamic Optimization
    Chapter 2024
  2. Determining cost-efficient controls of electrical energy storages using dynamic programming

    Volatile electrical energy prices are a challenge and an opportunity for small and medium-sized companies in energy-intensive industries. By using...

    Michael Stiglmayr, Svenja Uhlemeyer, ... Markus Zdrallek in Journal of Mathematics in Industry
    Article Open access 12 February 2024
  3. Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming

    In this paper we extend dynamic programming techniques to the study of discrete-time infinite horizon optimal control problems on compact control...

    David Angeli, Lars Grüne in Applied Mathematics & Optimization
    Article Open access 23 February 2024
  4. OPTIMAL CONTROL OF AN SIR EPIDEMIC MODEL BASED ON DYNAMIC PROGRAMMING APPROACH

    This paper investigates optimal control of a susceptible-infected-recovered (SIR) epidemic model using the dynamic programming approach. In fact, our...

    Touffik Bouremani, Yacine Slimani in Journal of Mathematical Sciences
    Article 02 May 2024
  5. Single and interval valued neutrosophic group decision making problem based on dynamic programming cluster model

    In this study, we address the difficult group decision-making situations in which the preference data are represented by linguistic variables using...

    A. Kanchana, D. Nagarajan, Kavikumar Jacob in Computational and Applied Mathematics
    Article 18 June 2024
  6. Quantum Algorithm for Dynamic Programming Approach for DAGs and Applications

    Abstract

    In this paper, we present a quantum algorithm for the dynamic programming approach for problems on directed acyclic graphs (DAGs). The...

    K. Khadiev, L. Safina in Lobachevskii Journal of Mathematics
    Article 01 February 2023
  7. Correction to: Complexity of stochastic dual dynamic programming

    In this paper, we point out some corrections needed in “Complexity of Stochastic Dual Dynamic Programming”, a paper accepted to Mathematical...

    Guanghui Lan in Mathematical Programming
    Article 11 March 2022
  8. Study of a Warfare Differential Game via Dynamic Programming Approach

    We use some recent developments in dynamics programming method to obtain the complete and theoretically justified solution of a differential game...

    Touffik Bouremani, Yacine Slimani in Dynamic Games and Applications
    Article 11 August 2023
  9. A dynamic programming approach for controlled fractional SIS models

    We investigate a susceptible-infected-susceptible (SIS) epidemic model based on the Caputo–Fabrizio operator. After performing an asymptotic analysis...

    Simone Cacace, Anna Chiara Lai, Paola Loreti in Nonlinear Differential Equations and Applications NoDEA
    Article 27 December 2022
  10. Dynamic Programming of the Stochastic Burgers Equation Driven by Lévy Noise

    In this work, we study the optimal control of stochastic Burgers equation perturbed by Gaussian and Lévy-type noises with distributed control process...

    Manil T. Mohan, Kumarasamy Sakthivel, Sivaguru S. Sritharan in Journal of Optimization Theory and Applications
    Article 20 February 2024
  11. Two-Stage Dynamic Programming in the Routing Problem with Decomposition

    Abstract

    This paper considers an optimal movement routing problem with constraints. One such constraint is due to decomposing the original problem...

    A. G. Chentsov, P. A. Chentsov in Automation and Remote Control
    Article 01 May 2023
  12. Dynamic Programming

    The minimum principle was developed in the Soviet Union in the late fifties of the previous century.
    Gjerrit Meinsma, Arjan van der Schaft in A Course on Optimal Control
    Chapter 2023
  13. Relationship Between the Maximum Principle and Dynamic Programming for Minimax Problems

    This paper is concerned with the relationship between the maximum principle and dynamic programming for a large class of optimal control problems...

    Cristopher Hermosilla, Hasnaa Zidani in Applied Mathematics & Optimization
    Article 13 February 2023
  14. A dynamic programming approach for generalized nearly isotonic optimization

    Shape restricted statistical estimation problems have been extensively studied, with many important practical applications in signal processing,...

    Zhensheng Yu, Xuyu Chen, Xudong Li in Mathematical Programming Computation
    Article 19 October 2022
  15. A dynamic programming based method for optimal control of a cascaded heat pump system with thermal energy storage

    The residential heating and cooling sector has been increasingly electrifying, predominantly using electrically driven heat pumps (HP) in combination...

    Tim Diller, Anton Soppelsa, ... Gregor Henze in Optimization and Engineering
    Article Open access 09 October 2023
  16. Newton’s Method, Bellman Recursion and Differential Dynamic Programming for Unconstrained Nonlinear Dynamic Games

    Dynamic games arise when multiple agents with differing objectives control a dynamic system. They model a wide variety of applications in economics,...

    Bolei Di, Andrew Lamperski in Dynamic Games and Applications
    Article 11 November 2021
  17. Dynamic Programming Principle for Classical and Singular Stochastic Control with Discretionary Stop**

    We prove the dynamic programming principle (DPP) in a class of problems where an agent controls a d -dimensional diffusive dynamics via both classical...

    Tiziano De Angelis, Alessandro Milazzo in Applied Mathematics & Optimization
    Article Open access 10 April 2023
  18. Approximate Dynamic Programming: Linear Programming-Based Approaches

    Christiane Barz, Martin Glanzer in Encyclopedia of Optimization
    Living reference work entry 2023
  19. Multi-objective dynamic programming with limited precision

    This paper addresses the problem of approximating the set of all solutions for Multi-objective Markov Decision Processes. We show that in the vast...

    L. Mandow, J. L. Perez-de-la-Cruz, N. Pozas in Journal of Global Optimization
    Article Open access 02 November 2021
  20. Advanced Analytics for Dynamic Programming

    In open-pit mine planning, the determination of optimum cut-off grade is essential for the mine designing process. Selection of the optimum cut-off...
    Pritam Biswas, Rabindra Kumar Sinha, Phalguni Sen in Advanced Analytics in Mining Engineering
    Chapter 2022
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