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Avtomatika i Telemekhanika, 2008, Issue 1, Pages 45–54
(Mi at589)
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This article is cited in 10 scientific papers (total in 10 papers)
Deterministic Systems
Hybrid control systems and the dynamic traveling salesman problem
S. I. Sergeev Moscow State University of Economics, Statistics and Informatics
Abstract:
A new approximate algorithm for solving the dynamic traveling salesman problem (DTSP) is proposed; the traveling salesman starting from the base city visits megapoleis and cities inside megapoleis and comes back to the base city. A specific feature of this variant of DTSP is the movement of cities inside megapoleis in time. To solve this problem, a general solution theory for hybrid (complicated) systems with “combinatorial” and “continuous” path segments is developed. The general theory is based on the sufficient optimality conditions known in the theory of optimal control.
Citation:
S. I. Sergeev, “Hybrid control systems and the dynamic traveling salesman problem”, Avtomat. i Telemekh., 2008, no. 1, 45–54; Autom. Remote Control, 69:1 (2008), 42–51
Linking options:
https://www.mathnet.ru/eng/at589 https://www.mathnet.ru/eng/at/y2008/i1/p45
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