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Optimal Control Theory and Applications in Operations

by Sophia Thomas 1,*
1
Sophia Thomas
*
Author to whom correspondence should be addressed.
Received: 5 January 2022 / Accepted: 27 January 2022 / Published Online: 14 February 2022

Abstract

The paper delves into the realm of optimal control theory and its extensive applications in the field of operations. Optimal control theory, a branch of mathematical optimization, deals with the problem of finding functions that minimize or maximize certain quantities under constraints. This theory finds its relevance in a variety of operational environments, such as manufacturing, logistics, and financial systems.


Copyright: © 2022 by Thomas. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
Cite This Paper
APA Style
Thomas, S. (2022). Optimal Control Theory and Applications in Operations. Operations Research and Statistics, 4(1), 26. doi:10.69610/j.ors.20220214
ACS Style
Thomas, S. Optimal Control Theory and Applications in Operations. Operations Research and Statistics, 2022, 4, 26. doi:10.69610/j.ors.20220214
AMA Style
Thomas S. Optimal Control Theory and Applications in Operations. Operations Research and Statistics; 2022, 4(1):26. doi:10.69610/j.ors.20220214
Chicago/Turabian Style
Thomas, Sophia 2022. "Optimal Control Theory and Applications in Operations" Operations Research and Statistics 4, no.1:26. doi:10.69610/j.ors.20220214

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ACS Style
Thomas, S. Optimal Control Theory and Applications in Operations. Operations Research and Statistics, 2022, 4, 26. doi:10.69610/j.ors.20220214
AMA Style
Thomas S. Optimal Control Theory and Applications in Operations. Operations Research and Statistics; 2022, 4(1):26. doi:10.69610/j.ors.20220214
Chicago/Turabian Style
Thomas, Sophia 2022. "Optimal Control Theory and Applications in Operations" Operations Research and Statistics 4, no.1:26. doi:10.69610/j.ors.20220214
APA style
Thomas, S. (2022). Optimal Control Theory and Applications in Operations. Operations Research and Statistics, 4(1), 26. doi:10.69610/j.ors.20220214

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References

  1. Burbules, N. C., & Callister, T. A. (2000). Watch IT: The Risks and Promises of Information Technologies for Education. Westview Press.
  2. Hamilton, W. R. (1930). The Mathematical Foundations of Quantum Mechanics. Princeton University Press.
  3. Pontryagin, L. S. (1962). Mathematical Theory of Optimal Processes. Krieger Publishing Company.
  4. Lee, E. S. (1969). Introduction to Random Control Systems. McGraw-Hill.
  5. Bellman, R. E. (1957). Dynamic Programming. Princeton University Press.
  6. Dijk, M., & DeWitt, R. (1997). Inventory Control: Theory and Applications. Prentice Hall.
  7. Ramakrishnan, K. S. (1995). Optimal Reorder Point Policies for the newsboy Problem with Service Level Constraints. European Journal of Operational Research, 89(1), 1-19.
  8. Kocak, N., & Fiksel, J. (1997). Optimization in Manufacturing and Service Operations. John Wiley & Sons.
  9. Arcelus, R. (2003). Optimal Control in Production Planning. Journal of Optimization Theory and Applications, 118(1), 25-44.
  10. Chen, B., & Simchi-Levi, D. (2007). Designing Efficient Supply Chains. John Wiley & Sons.
  11. Chen, B., Xu, Z., & Simchi-Levi, D. (2001). A Framework for Coordination in Distributed Supply Chains. Operations Research, 49(6), 833-846.
  12. Markowitz, H. M. (1959). Portfolio Selection. Journal of Finance, 7(1), 77-91.
  13. Sharpe, W. F. (1964). Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk. Journal of Finance, 19(3), 425-442.
  14. Beasley, J. H. (1999). Selecting a Control System Approach for Implementing Inventory Policy. Journal of the Operational Research Society, 50(12), 1274-1281.
  15. Evans, J. D., & Short, R. E. (1998). The Role of Mathematical Programming in the Decision-Making Process. Operations Research, 46(4), 617-628.