Solving the routing optimization problem using the dynamic programming method

Citation
Aa. Chentsov et Ag. Chentsov, Solving the routing optimization problem using the dynamic programming method, J COMP SYST, 38(3), 1999, pp. 409-420
Citations number
13
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL
ISSN journal
10642307 → ACNP
Volume
38
Issue
3
Year of publication
1999
Pages
409 - 420
Database
ISI
SICI code
1064-2307(199905/06)38:3<409:STROPU>2.0.ZU;2-M
Abstract
The present paper studies the effect of inexact computations on the effecti veness of the routing version of dynamic programming in the problem of bypa ssing sections of multivalued mappings. We study a specific definition of t he general routing procedure in the bypass problem for substantially nonsta tionary performance indices and "reachability domains" when the sequential motion in the space of problems along the paths that are formed in conformi ty with the route being realized under conditions of several possible passa ges from the solution of one problem to the solution of the other. The meth ods thus developed can be applied to the problems of freight transportation and of locating radio equipment components on printed circuit boards, etc.