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Optimal switching in an economic activity under uncertainty

This paper considers the problem of finding the optimal sequence of opening (starting) and closing (stopping) times of a multi-activity production process, given the costs of opening, running, and closing the activities and assuming that the state of the economic system is a stochastic process. The...

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Published in:SIAM journal on control and optimization 1994-07, Vol.32 (4), p.1021-1036
Main Authors: BREKKE, K. A, ØKSENDAL, B
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Language:English
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cited_by cdi_FETCH-LOGICAL-c456t-279c9d4968655e5159339a6700601afe0f0115b6d8934be787cd8a0998968d433
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creator BREKKE, K. A
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description This paper considers the problem of finding the optimal sequence of opening (starting) and closing (stopping) times of a multi-activity production process, given the costs of opening, running, and closing the activities and assuming that the state of the economic system is a stochastic process. The problem is formulated as an extended impulse control problem and solved using stochastic calculus. As an application, the optimal starting and stopping strategy are explicitly found for a resource extraction when the price of the resource is following a geometric Brownian motion.
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ispartof SIAM journal on control and optimization, 1994-07, Vol.32 (4), p.1021-1036
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source SIAM Journals Archive; ABI/INFORM Collection
subjects Applied mathematics
Applied sciences
Costs
Economic activity
Exact sciences and technology
Expected values
Miscellaneous
Operational research and scientific management
Operational research. Management science
Prices
Profits
Stochastic models
Values
title Optimal switching in an economic activity under uncertainty
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