schliessen

Filtern

 

Bibliotheken

Cover Image

An O(nm)-Time Network Simplex Algorithm for the Shortest Path Problem

We present an O ( nm )-time network simplex algorithm for finding a tree of shortest paths from a given node to all other nodes in a network of n nodes and m directed arcs or finding a directed cycle of negative length. The worst-case running time of this algorithm is as fast as that proved for any... Full description

Journal Title: Operations research 1999-05-01, Vol.47 (3), p.445-448
Main Author: Goldfarb, Donald
Other Authors: Jin, Zhiying
Format: Electronic Article Electronic Article
Language: English
Subjects:
Algorithms
analysis of algorithms
Applied sciences
computational complexity
distance algorithms
Exact sciences and technology
Flows in networks. Combinatorial problems
general shortest paths
linear algorithms
Mathematical programming
Mathematics
Minimization of cost
network simplex
networks/graphs
Operational research and scientific management
Operational research. Management science
Overestimates
Path analysis
Polynomials
programming
Simplex method
strongly polynomial
Quelle: Alma/SFX Local Collection
Publisher: Linthicum, MD: INFORMS
ID: ISSN: 0030-364X
Link: http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1952094
Zum Text:
SendSend as email Add to Book BagAdd to Book Bag
Staff View
recordid: cdi_highwire_informs_opres_47_3_445
title: An O(nm)-Time Network Simplex Algorithm for the Shortest Path Problem
format: Article
creator:
  • Goldfarb, Donald
  • Jin, Zhiying
subjects:
  • Algorithms
  • analysis of algorithms
  • Applied sciences
  • computational complexity
  • distance algorithms
  • Exact sciences and technology
  • Flows in networks. Combinatorial problems
  • general shortest paths
  • linear algorithms
  • Mathematical programming
  • Mathematics
  • Minimization of cost
  • network simplex
  • networks/graphs
  • Operational research and scientific management
  • Operational research. Management science
  • Overestimates
  • Path analysis
  • Polynomials
  • programming
  • Simplex method
  • strongly polynomial
ispartof: Operations research, 1999-05-01, Vol.47 (3), p.445-448
description: We present an O ( nm )-time network simplex algorithm for finding a tree of shortest paths from a given node to all other nodes in a network of n nodes and m directed arcs or finding a directed cycle of negative length. The worst-case running time of this algorithm is as fast as that proved for any strongly polynomial algorithm and faster than that proved for any previously proposed simplex algorithm for this problem. We also show that this algorithm can be implemented in O ( nlogn ) time using O (( m / logn ) + n ) exclusive read–exclusive write processors of a parallel random access machine.
language: eng
source: Alma/SFX Local Collection
identifier: ISSN: 0030-364X
fulltext: fulltext
issn:
  • 0030-364X
  • 1526-5463
url: Link


@attributes
NO1
SEARCH_ENGINEprimo_central_multiple_fe
SEARCH_ENGINE_TYPEPrimo Central Search Engine
RANK1.8147137
LOCALfalse
PrimoNMBib
record
control
sourceidgale_highw
recordidTN_cdi_highwire_informs_opres_47_3_445
sourceformatXML
sourcesystemPC
galeidA55207681
jstor_id223114
sourcerecordidA55207681
originalsourceidFETCH-LOGICAL-c400t-af353bbbc7e407c478d5768e9066ab6c68091a03eabc0114e45fe53ec3decd423
addsrcrecordideNqFkc1r3DAQxUVJoZs0x556ESWElNZb2frw-riE9ANCEkgKvQlZO14rsaxFo5D0v6-MS5NDoAgk0PvNG2YeIe9KtiyrVf0l7CIsRb3kSyHkK7IoZaUKKRTfIwvGOCu4Er_ekH3EW8ZYI5VckLP1SC9PRv-xuHEe6AWkhxDv6LXzuwEe6XrYhuhS72kXIk090Os-xASY6JVJPb2KoR3AvyWvOzMgHP59D8jPr2c3p9-L88tvP07X54UVjKXCdFzytm1tDYLVVtSrjazVChqmlGmVVSvWlIZxMK1lZSlAyA4kB8s3YDei4gfkw-y7NQNoN3YhRWO9Q6vXUlYsm5UZKl6A8tmAdzaM0Ln8_5z_9Ixv79GNgPlCt-0Tbs094kvuNgbECJ3eRedN_K1LpqcY9BSDFrXmOseQ-aOZ3xm0ZuiiGa3Dp6ImGzciY-9n7BZTiP_kquJ5D1n9PKvTNNHjf3sez3ifR3hwcd7CVDdx-AT-AQyTq_o
sourcetypeAggregation Database
isCDItrue
recordtypearticle
display
typearticle
titleAn O(nm)-Time Network Simplex Algorithm for the Shortest Path Problem
sourceAlma/SFX Local Collection
creatorGoldfarb, Donald ; Jin, Zhiying
creatorcontribGoldfarb, Donald ; Jin, Zhiying
descriptionWe present an O ( nm )-time network simplex algorithm for finding a tree of shortest paths from a given node to all other nodes in a network of n nodes and m directed arcs or finding a directed cycle of negative length. The worst-case running time of this algorithm is as fast as that proved for any strongly polynomial algorithm and faster than that proved for any previously proposed simplex algorithm for this problem. We also show that this algorithm can be implemented in O ( nlogn ) time using O (( m / logn ) + n ) exclusive read–exclusive write processors of a parallel random access machine.
identifier
0ISSN: 0030-364X
1EISSN: 1526-5463
2DOI: 10.1287/opre.47.3.445
3CODEN: OPREAI
languageeng
publisherLinthicum, MD: INFORMS
subjectAlgorithms ; analysis of algorithms ; Applied sciences ; computational complexity ; distance algorithms ; Exact sciences and technology ; Flows in networks. Combinatorial problems ; general shortest paths ; linear algorithms ; Mathematical programming ; Mathematics ; Minimization of cost ; network simplex ; networks/graphs ; Operational research and scientific management ; Operational research. Management science ; Overestimates ; Path analysis ; Polynomials ; programming ; Simplex method ; strongly polynomial
ispartofOperations research, 1999-05-01, Vol.47 (3), p.445-448
rights
0Copyright 1999 The Institute for Operations Research and the Management Sciences
11999 INIST-CNRS
lds50peer_reviewed
citesFETCH-LOGICAL-c400t-af353bbbc7e407c478d5768e9066ab6c68091a03eabc0114e45fe53ec3decd423
links
openurl$$Topenurl_article
openurlfulltext$$Topenurlfull_article
thumbnail$$Usyndetics_thumb_exl
backlink$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1952094$$DView record in Pascal Francis
search
creatorcontrib
0Goldfarb, Donald
1Jin, Zhiying
title
0An O(nm)-Time Network Simplex Algorithm for the Shortest Path Problem
1Operations research
descriptionWe present an O ( nm )-time network simplex algorithm for finding a tree of shortest paths from a given node to all other nodes in a network of n nodes and m directed arcs or finding a directed cycle of negative length. The worst-case running time of this algorithm is as fast as that proved for any strongly polynomial algorithm and faster than that proved for any previously proposed simplex algorithm for this problem. We also show that this algorithm can be implemented in O ( nlogn ) time using O (( m / logn ) + n ) exclusive read–exclusive write processors of a parallel random access machine.
subject
0Algorithms
1analysis of algorithms
2Applied sciences
3computational complexity
4distance algorithms
5Exact sciences and technology
6Flows in networks. Combinatorial problems
7general shortest paths
8linear algorithms
9Mathematical programming
10Mathematics
11Minimization of cost
12network simplex
13networks/graphs
14Operational research and scientific management
15Operational research. Management science
16Overestimates
17Path analysis
18Polynomials
19programming
20Simplex method
21strongly polynomial
issn
00030-364X
11526-5463
fulltexttrue
rsrctypearticle
creationdate1999
recordtypearticle
recordideNqFkc1r3DAQxUVJoZs0x556ESWElNZb2frw-riE9ANCEkgKvQlZO14rsaxFo5D0v6-MS5NDoAgk0PvNG2YeIe9KtiyrVf0l7CIsRb3kSyHkK7IoZaUKKRTfIwvGOCu4Er_ekH3EW8ZYI5VckLP1SC9PRv-xuHEe6AWkhxDv6LXzuwEe6XrYhuhS72kXIk090Os-xASY6JVJPb2KoR3AvyWvOzMgHP59D8jPr2c3p9-L88tvP07X54UVjKXCdFzytm1tDYLVVtSrjazVChqmlGmVVSvWlIZxMK1lZSlAyA4kB8s3YDei4gfkw-y7NQNoN3YhRWO9Q6vXUlYsm5UZKl6A8tmAdzaM0Ln8_5z_9Ixv79GNgPlCt-0Tbs094kvuNgbECJ3eRedN_K1LpqcY9BSDFrXmOseQ-aOZ3xm0ZuiiGa3Dp6ImGzciY-9n7BZTiP_kquJ5D1n9PKvTNNHjf3sez3ifR3hwcd7CVDdx-AT-AQyTq_o
startdate19990501
enddate19990501
creator
0Goldfarb, Donald
1Jin, Zhiying
general
0INFORMS
1Operations Research Society of America
2Institute for Operations Research and the Management Sciences
scope
0IQODW
1AAYXX
2CITATION
3BSHEE
sort
creationdate19990501
titleAn O(nm)-Time Network Simplex Algorithm for the Shortest Path Problem
authorGoldfarb, Donald ; Jin, Zhiying
facets
frbrtype5
frbrgroupidcdi_FETCH-LOGICAL-c400t-af353bbbc7e407c478d5768e9066ab6c68091a03eabc0114e45fe53ec3decd423
rsrctypearticles
prefilterarticles
languageeng
creationdate1999
topic
0Algorithms
1analysis of algorithms
2Applied sciences
3computational complexity
4distance algorithms
5Exact sciences and technology
6Flows in networks. Combinatorial problems
7general shortest paths
8linear algorithms
9Mathematical programming
10Mathematics
11Minimization of cost
12network simplex
13networks/graphs
14Operational research and scientific management
15Operational research. Management science
16Overestimates
17Path analysis
18Polynomials
19programming
20Simplex method
21strongly polynomial
toplevel
0peer_reviewed
1online_resources
creatorcontrib
0Goldfarb, Donald
1Jin, Zhiying
collection
0Pascal-Francis
1CrossRef
2Academic OneFile (A&I only)
jtitleOperations research
delivery
delcategoryRemote Search Resource
fulltextfulltext
addata
au
0Goldfarb, Donald
1Jin, Zhiying
formatjournal
genrearticle
ristypeJOUR
atitleAn O(nm)-Time Network Simplex Algorithm for the Shortest Path Problem
jtitleOperations research
date1999-05-01
risdate1999
volume47
issue3
spage445
epage448
pages445-448
issn0030-364X
eissn1526-5463
codenOPREAI
abstractWe present an O ( nm )-time network simplex algorithm for finding a tree of shortest paths from a given node to all other nodes in a network of n nodes and m directed arcs or finding a directed cycle of negative length. The worst-case running time of this algorithm is as fast as that proved for any strongly polynomial algorithm and faster than that proved for any previously proposed simplex algorithm for this problem. We also show that this algorithm can be implemented in O ( nlogn ) time using O (( m / logn ) + n ) exclusive read–exclusive write processors of a parallel random access machine.
copLinthicum, MD
pubINFORMS
doi10.1287/opre.47.3.445