Applications of a special polynomial class of TSP

Jack Brimberg; Ephraim Korach; Mokhtar Amami

doi:10.2298/YJOR0501005B

Applications of a special polynomial class of TSP

Jack Brimberg
, Ephraim Korach
, Mokhtar Amami

Department of Industrial Engineering and Management

Research output: Contribution to journal › Article › peer-review

Abstract

A hypothetical problem which we call a "buried treasure problem" is presented where the objective is to locate m objects among N fixed equi-spaced caches in order to minimize a measure of the risk of loss. The general problem is shown to be NPhard. However, a sub problem may be solved as a special class of TSP in O (N log N) time. Several applications are noted.

Original language	English
Pages (from-to)	5-14
Number of pages	10
Journal	Yugoslav Journal of Operations Research
Volume	15
Issue number	1
DOIs	https://doi.org/10.2298/YJOR0501005B
State	Published - 1 Jan 2005

Keywords

Partition problem
Pyramidal tours
Traveling salesman problem

ASJC Scopus subject areas

Management Science and Operations Research

Access to Document

10.2298/YJOR0501005B

Cite this

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KW - Partition problem

KW - Pyramidal tours

KW - Traveling salesman problem

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Applications of a special polynomial class of TSP

Abstract

Keywords

ASJC Scopus subject areas

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