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Dynamic programming for discrete-time finite-horizon optimal switching problems with negative switching costs

Part of: Stochastic processes Stochastic systems and control Applications

Published online by Cambridge University Press:  19 September 2016

R. Martyr
R. Martyr*
Affiliation:
The University of Manchester
*
* Current address: School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, UK. Email address: [email protected]
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Abstract

In this paper we study a discrete-time optimal switching problem on a finite horizon. The underlying model has a running reward, terminal reward, and signed (positive and negative) switching costs. Using optimal stopping theory for discrete-parameter stochastic processes, we extend a well-known explicit dynamic programming method for computing the value function and the optimal strategy to the case of signed switching costs.

Keywords

Optimal switchingstopping timeoptimal stopping problemSnell envelope

MSC classification

Primary: 93E20: Optimal stochastic control
Secondary: 60G40: Stopping times; optimal stopping problems; gambling theory 62P20: Applications to economics
Type
Research Article
Information
Advances in Applied Probability , Volume 48 , Issue 3 , September 2016 , pp. 832 - 847
Copyright
Copyright © Applied Probability Trust 2016 

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