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Optimal and myopic search in a binary random vector

Part of: Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Avner Dor ,
Eitan Greenshtein  and
Ephraim Korach
Avner Dor*
Affiliation:
HaNegev College
Eitan Greenshtein*
Affiliation:
Technion-Israel Institute of Technology
Ephraim Korach*
Affiliation:
Ben Gurion University
*
∗Postal address: HaNegev College, D.N. Hof Ashkelon, 79165, Israel.
∗∗Postal address: Faculty of Industrial Engineering and Management, Technion-Israel Institute of Technology, Kiryat HaTechnion, Haifa 32000, Israel. E-mail address: eitang@ie.technion.ac.il
∗∗∗Postal address: Dept. of Industrial Engineering and Management, Ben Gurion University, Beet-Sheva, Israel
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Abstract

Let X = (X1, …, Xn) be a random binary vector, with a known joint distribution P. It is necessary to inspect the coordinates sequentially in order to determine if Xi = 0 for every i, i = 1, …, n. We find bounds for the ratio of the expected number of coordinates inspected using optimal and greedy searching policies.

Keywords

Greedy algorithmnegative correlation

MSC classification

Primary: 60E15: Inequalities; stochastic orderings
Type
Research Papers
Information
Journal of Applied Probability , Volume 35 , Issue 2 , June 1998 , pp. 463 - 472
Copyright
Copyright © Applied Probability Trust 1998 

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References

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