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Sequential decisions in the control of a space-ship (terminal cost proportional to magnitude of miss distance)

Published online by Cambridge University Press:  14 July 2016

Paul I. Feder  and
Thomas Stroud
Paul I. Feder
Affiliation:
Yale University
Thomas Stroud
Affiliation:
Queen's University, Kingston
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Abstract

This is an extension of the paper [1] by Bather and Chernoff, where approximations are obtained to the solution of a sequential control problem involving the decision of when to use fuel to alter course during a space-ship's approach to a target. It is desired to come as close as possible to the target. If fuel is used too early, it may be used incorrectly due to imprecise information about the location of the target; however if the fuel is used too late it may be ineffective in reducing the miss distance.

Type
Research Papers
Information
Journal of Applied Probability , Volume 8 , Issue 2 , June 1971 , pp. 285 - 297
Copyright
Copyright © Applied Probability Trust 1971 

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References

[1] Bather, J. A. and Chernoff, H. (1967) Sequential decisions in the control of a spaceship. Proc. Fifth Berkeley Symp. on Math. Statist. and Prob. University of California Press 3, 181–207.Google Scholar
[2] Bather, J. A. and Chernoff, H. (1967) Sequential decisions in the control of a spaceship (finite fuel). J. Appl. Prob. 4, 584–604 CrossRefGoogle Scholar
[3] Chernoff, H. (1968) Optimal stochastic control. Sankhya A. 30, 221–252.Google Scholar