The Complexity of the Optimal Searcher Path Problem

In this note we show that the problem of finding an optimal searcher path that maximizes the probability of detecting a stationary target by the end of a fixed time is NP-complete. We also demonstrate that the problem of finding a path that minimizes mean time to detection is NP-hard.

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Veröffentlicht in:Operations research 1986-03, Vol.34 (2), p.324-327
Hauptverfasser: Trummel, K. E., Weisinger, J. R.
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container_title Operations research
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creator Trummel, K. E.
Weisinger, J. R.
description In this note we show that the problem of finding an optimal searcher path that maximizes the probability of detecting a stationary target by the end of a fixed time is NP-complete. We also demonstrate that the problem of finding a path that minimizes mean time to detection is NP-hard.
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ispartof Operations research, 1986-03, Vol.34 (2), p.324-327
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source INFORMS PubsOnLine; Business Source Complete; Periodicals Index Online; Jstor Complete Legacy
subjects Algorithms
Applied sciences
Exact sciences and technology
Integers
Mathematical models
Operational research and scientific management
Operational research. Management science
Operations research
Optimal
Polynomials
Probability
Probability distributions
Searches
Target location and tracking
Technical Notes
Vertices
title The Complexity of the Optimal Searcher Path Problem
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