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Avtomatika i Telemekhanika, 2012, Issue 2, Pages 126–140
(Mi at3616)
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This article is cited in 1 scientific paper (total in 1 paper)
Integer Programming Problems
Approximate algorithms with estimates for routing problems on random inputs with a bounded number of customers per route
E. Kh. Gimadia, A. V. Shakhshneyderb a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Technical University of Munich, Munich, Germany
Abstract:
We propose approximate algorithms for routing problems with a bounded number of clients on each route ($k$-VRP and Multi-Depot $k$-VRP). We derive estimates of the algorithms' quality and conditions for their asymptotic exactness in the case of a complete graph in which the weights of the edges (arcs) are independent random variables with a common distribution function.
Citation:
E. Kh. Gimadi, A. V. Shakhshneyder, “Approximate algorithms with estimates for routing problems on random inputs with a bounded number of customers per route”, Avtomat. i Telemekh., 2012, no. 2, 126–140; Autom. Remote Control, 73:2 (2012), 323–335
Linking options:
https://www.mathnet.ru/eng/at3616 https://www.mathnet.ru/eng/at/y2012/i2/p126
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Statistics & downloads: |
Abstract page: | 531 | Full-text PDF : | 103 | References: | 60 | First page: | 26 |
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