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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2013 Volume 25, Number 11, Pages 121–127 (Mi mm3423)

This article is cited in 2 papers

Exact solutions of some optimization problems of transport logistics

E. M. Bronshtein, R. V. Gindullin

Ufa State Aviation Technical University

Abstract: The problem of constructing of the shortest cyclic route for delivery of homogeneous cargo from producers to consumers using vehicle with given capacity is considered. Formalizations in the boolean quadratic and integer linear programming are offered. Comparative analysis of efficiency of three exact algorithms is made. The problem of finding minimum tolerable vehicle capacity is considered as auxiliary. The relation between length of optimal route and vehicle capacity is empirically analyzed.

Keywords: routing, cycle, integer linear programming, quadratic Boolean programming.

UDC: 519.854.2

Received: 09.04.2012


 English version:
Mathematical Models and Computer Simulations, 2014, 6:3, 332–336

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© Steklov Math. Inst. of RAS, 2025