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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2017 Volume 24, Issue 4, Pages 77–94 (Mi da883)

This article is cited in 3 papers

The network equilibrium problem with mixed demand

O. V. Pinyagina

Kazan Federal University, 18 Kremlevskaya St., 420008 Kazan, Russia

Abstract: We formulate the network equilibrium problem with mixed demand which generalizes the problems of network equilibrium with fixed and elastic demand.We prove the equilibrium conditions for this problem and propose some conditions of existence of a solution that are based on the coercivity property. We establish a connection between the problem of network equilibrium with mixed demand and the problem of auction equilibrium. The results of test calculations are presented for a model example. Illustr. 1, bibliogr. 15.

Keywords: network equilibrium problem, mixed demand, equilibrium conditions, auction equilibrium.

UDC: 519.8

Received: 11.01.2017
Revised: 03.03.2017

DOI: 10.17377/daio.2017.24.562


 English version:
Journal of Applied and Industrial Mathematics, 2017, 11:4, 554–563

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