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A GOLD-MINING PROBLEM

OPTIMAL BACKUP STRATEGY IN COMPUTER PROGRAMS

Published online by Cambridge University Press:  01 April 2000

Minoru Sakaguchi
Affiliation:
3-26-4 Midorigaoka, Toyonaka, Osaka 560-0002, Japan
Toshio Hamada
Affiliation:
Department of Management Sciences, Kobe University of Commerce, Nishi-ku, Kobe 651-2197, Japan, E-mail: hamada@kobeuc.ac.jp

Abstract

We study an example of R. Bellman's gold-mining problem related to a programming job on the computer. The problem is formulated by dynamic programming and the optimal strategy is explicitly derived. The Bayesian version when the parameter involved is unknown is also solved by the same method. It is shown that the optimal strategy in each of two versions has the “no-island” (or, in other words, “control-limit”) property.

Type
Research Article
Copyright
© 2000 Cambridge University Press

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