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Variables Reduction in Sequential Resource Allocation Problems

Author

Listed:
  • Juri Hinz
  • Tiziano Vargiolu

Abstract

This paper presents a general framework to address diverse notoriously difficult problems arising in the area of optimal resource management, exploitation of natural reserves, pension fund valuation, environmental protection, and storage operation. Using some common abstract features of this problem class, we present a technique which provides a significant reduction of decision variables. As an application, we discuss a battery storage control to show how a decision problem, which is practically unsolvable in the original formulation, can be treated by our method.

Suggested Citation

  • Juri Hinz & Tiziano Vargiolu, 2020. "Variables Reduction in Sequential Resource Allocation Problems," Research Paper Series 406, Quantitative Finance Research Centre, University of Technology, Sydney.
    • Handle: RePEc:uts:rpaper:406
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    References listed on IDEAS

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    1. Trigeorgis, Lenos, 1993. "The Nature of Option Interactions and the Valuation of Investments with Multiple Real Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(1), pages 1-20, March.
    2. Christian Bender & Nikolai Dokuchaev, 2016. "A First-Order Bspde For Swing Option Pricing," Mathematical Finance, Wiley Blackwell, vol. 26(3), pages 461-491, July.
    3. Ross, Stephen A, 1978. "A Simple Approach to the Valuation of Risky Streams," The Journal of Business, University of Chicago Press, vol. 51(3), pages 453-475, July.
    4. Sebastian Jaimungal & Max O. de Souza & Jorge P. Zubelli, 2013. "Real option pricing with mean-reverting investment and project value," The European Journal of Finance, Taylor & Francis Journals, vol. 19(7-8), pages 625-644, September.
    5. Sripad K. Devalkar & Ravi Anupindi & Amitabh Sinha, 2011. "Integrated Optimization of Procurement, Processing, and Trade of Commodities," Operations Research, INFORMS, vol. 59(6), pages 1369-1381, December.
    6. McDonald, Robert L & Siegel, Daniel R, 1985. "Investment and the Valuation of Firms When There Is an Option to Shut Down," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 331-349, June.
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