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The shortest route problem with constraints

โœ Scribed by H.C Joksch


Publisher
Elsevier Science
Year
1966
Tongue
English
Weight
294 KB
Volume
14
Category
Article
ISSN
0022-247X

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โœ Cai, X.; Kloks, T.; Wong, C. K. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 159 KB

We study a new version of the shortest path problem. Let G ร… (V, E) be a directed graph. Each arc e โˆš E has two numbers attached to it: a transit time b(e, u) and a cost c(e, u), which are functions of the departure time u at the beginning vertex of the arc. Moreover, postponement of departure (i.e.

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## Abstract The problem of finding a shortest route in a network with unrestricted costs is approached through solving an assignment problem associated to the network. The upper bound on the number of elementary calculations required for the solution is 0(m^3^). However, in most cases, the actual