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Optimal strategy between extraction and storage of crude oil. (English) Zbl 1430.91058

Summary: This paper deals with the optimal choice between extraction and storage of crude oil over time. An oil producer should decide on the proportion of oil extracted to sell and the proportion to store. This optimal operational strategy should be conducted on a daily basis while taking into consideration physical, operational and financial constraints such as: storage capacity, crude oil spot price, total quantity available for possible extraction or the maximum amount which could be invested at time t for the extraction choice. Our main results show that when the stock is close to be full, it is better to sell a higher part of the extracted quantity. Therefore, if the stock is empty, the best strategy is to secure the reserves against oil prices fluctuations. In the case of full stock, it is useless to put more quantity in reserves and the best strategy is to sell more output. But, if the stock and the available reserves for extraction are half full, the optimal strategy is to consider both selling and storing output.

MSC:

91B74 Economic models of real-world systems (e.g., electricity markets, etc.)
60G40 Stopping times; optimal stopping problems; gambling theory
49N90 Applications of optimal control and differential games
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