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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 296–309 (Mi semr325)  
This article is cited in 5 scientific papers (total in 5 papers)

7/5-approximation algorithm for 2-PSP on minimum with different weight functions

A. N. Glebova, A. V. Gordeevab, D. Zh. Zambalayevaa

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: We present a cubic time algorithm with approximation ratio 7/5 (plus some additive constant) for the 2-Peripatetic Salesman Problem on minimum with different weight functions valued 1 and 2 (abbreviated to as 2-PSP(1,2)-min-2w). Our result improves the other known algorithm for this problem which has approximation ratio 11/7.
Keywords: Traveling Salesman Problem, 2-Peripatetic Salesman Problem, polynomial algorithm, guaranteed approximation ratio.
Received August 29, 2011, published October 11, 2011
Document Type: Article
UDC: 519.712.3
MSC: 68W25
Language: Russian
Citation: A. N. Glebov, A. V. Gordeeva, D. Zh. Zambalayeva, “7/5-approximation algorithm for 2-PSP on minimum with different weight functions”, Sib. Èlektron. Mat. Izv., 8 (2011), 296–309
Citation in format AMSBIB
\Bibitem{GleGorZam11}
\by A.~N.~Glebov, A.~V.~Gordeeva, D.~Zh.~Zambalayeva
\paper 7/5-approximation algorithm for 2-PSP on minimum with different weight functions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 296--309
\mathnet{http://mi.mathnet.ru/semr325}
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    • This publication is cited in the following 5 articles:
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