An optimal branch-and-bound procedure for the constrained path, moving target search problem

JN Eagle, JR Yee - Operations research, 1990 - pubsonline.informs.org
A searcher and target move among a finite set of cells C= 1, 2,…, N in discrete time. At the
beginning of each time period, one cell is searched. If the target is in the selected cell j, it is …

Optimal search for a moving target in discrete time and space

SS Brown - Operations research, 1980 - pubsonline.informs.org
We consider optimal search for a moving target in discrete space. A limited amount of search
effort is available at each of a fixed number of time intervals and we assume an exponential …

A two-cell model of search for a moving target

JM Dobbie - Operations Research, 1974 - pubsonline.informs.org
This paper formulates a two-cell model of search for a moving target as a continuous-time
Markov process with known constant transition rates and detection rates, and finds the …

A simple model of search for a moving target

SM Pollock - Operations Research, 1970 - pubsonline.informs.org
A target moves between two regions in a Markovian fashion, the parameters of which are
known to the searcher. Discrete amounts of search effort (“looks”) may be allocated to one …

The optimal search for a moving target when the search path is constrained

JN Eagle - Operations research, 1984 - pubsonline.informs.org
A search is conducted for a target moving in discrete time among a finite number of cells
according to a known Markov process. The searcher must choose one cell in which to …

The complexity of the optimal searcher path problem

KE Trummel, JR Weisinger - Operations Research, 1986 - pubsonline.informs.org
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 …

Optimal whereabouts search for a moving target

LD Stone, JB Kadane - Operations research, 1981 - pubsonline.informs.org
This paper shows that solving the optimal whereabouts search problem for a moving target
is equivalent to solving a finite number of optimal detection problems for moving targets. This …

Experience with a branch-and-bound algorithm for constrained searcher motion

TJ Stweart - Search theory and applications, 1980 - Springer
In a recent paper (Stewart [19 79]), we have introduced the problem of search for a moving
target when there are practical constraints on the rate of movement of the searcher and have …

Using multiple searchers in constrained‐path, moving‐target search problems

RF Dell, JN Eagle, GH Alves Martins… - Naval Research …, 1996 - Wiley Online Library
The search theory open literature has paid little, if any, attention to the multiple‐searcher,
moving‐target search problem. We develop an optimal branch‐and‐bound procedure and …

Necessary and sufficient conditions for optimal search plans for moving targets

LD Stone - Mathematics of Operations Research, 1979 - pubsonline.informs.org
Let {X t, t≥ 0} be a stochastic process representing the motion of a target in Euclidean n-
space. Search effort is applied at the rate m (t)> 0 for 0≤ t≤ T, and it is assumed that this …