Distributions of rectilinear deviation distance to visit a facility
This paper deals with the deviation distance to visit a facility from pre-planned routes. Facilities are approximated by both points and lines on a continuous plane. To see the relationship between the deviation distance and the availability of facilities, we derive the distributions of the rectilin...
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Veröffentlicht in: | European journal of operational research 2010-08, Vol.205 (1), p.106-112 |
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description | This paper deals with the deviation distance to visit a facility from pre-planned routes. Facilities are approximated by both points and lines on a continuous plane. To see the relationship between the deviation distance and the availability of facilities, we derive the distributions of the rectilinear deviation distance for regular and random patterns of facilities. These distributions demonstrate how the shortest distance and the relative position of origin and destination affect the deviation distance. We also show that the deviation distance is a generalization of the nearest neighbour distance. |
doi_str_mv | 10.1016/j.ejor.2009.12.002 |
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Facilities are approximated by both points and lines on a continuous plane. To see the relationship between the deviation distance and the availability of facilities, we derive the distributions of the rectilinear deviation distance for regular and random patterns of facilities. These distributions demonstrate how the shortest distance and the relative position of origin and destination affect the deviation distance. We also show that the deviation distance is a generalization of the nearest neighbour distance.</description><subject>Applied sciences</subject><subject>Correlation analysis</subject><subject>Exact sciences and technology</subject><subject>Flow demand</subject><subject>Location</subject><subject>Location Flow demand Shortest distance Nearest neighbour distance</subject><subject>Logistics</subject><subject>Nearest neighbour distance</subject><subject>Operational research and scientific management</subject><subject>Operational research. 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Management science</topic><topic>Optimization algorithms</topic><topic>Route optimization</topic><topic>Shortest distance</topic><topic>Studies</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Miyagawa, Masashi</creatorcontrib><collection>Pascal-Francis</collection><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>European journal of operational research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Miyagawa, Masashi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Distributions of rectilinear deviation distance to visit a facility</atitle><jtitle>European journal of operational research</jtitle><date>2010-08-16</date><risdate>2010</risdate><volume>205</volume><issue>1</issue><spage>106</spage><epage>112</epage><pages>106-112</pages><issn>0377-2217</issn><eissn>1872-6860</eissn><coden>EJORDT</coden><abstract>This paper deals with the deviation distance to visit a facility from pre-planned routes. 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subjects | Applied sciences Correlation analysis Exact sciences and technology Flow demand Location Location Flow demand Shortest distance Nearest neighbour distance Logistics Nearest neighbour distance Operational research and scientific management Operational research. Management science Optimization algorithms Route optimization Shortest distance Studies |
title | Distributions of rectilinear deviation distance to visit a facility |
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