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  1. Mathematical Methods of Operations Research
  2. Mathematical Methods of Operations Research : Volume 64
  3. Mathematical Methods of Operations Research : Volume 64, Issue 2, October 2006
  4. A note on vector network equilibrium principles
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Mathematical Methods of Operations Research : Volume 85
Mathematical Methods of Operations Research : Volume 84
Mathematical Methods of Operations Research : Volume 83
Mathematical Methods of Operations Research : Volume 82
Mathematical Methods of Operations Research : Volume 81
Mathematical Methods of Operations Research : Volume 80
Mathematical Methods of Operations Research : Volume 79
Mathematical Methods of Operations Research : Volume 78
Mathematical Methods of Operations Research : Volume 77
Mathematical Methods of Operations Research : Volume 76
Mathematical Methods of Operations Research : Volume 75
Mathematical Methods of Operations Research : Volume 74
Mathematical Methods of Operations Research : Volume 73
Mathematical Methods of Operations Research : Volume 72
Mathematical Methods of Operations Research : Volume 71
Mathematical Methods of Operations Research : Volume 70
Mathematical Methods of Operations Research : Volume 69
Mathematical Methods of Operations Research : Volume 68
Mathematical Methods of Operations Research : Volume 67
Mathematical Methods of Operations Research : Volume 66
Mathematical Methods of Operations Research : Volume 65
Mathematical Methods of Operations Research : Volume 64
Mathematical Methods of Operations Research : Volume 64, Issue 3, December 2006
Mathematical Methods of Operations Research : Volume 64, Issue 2, October 2006
Valuing virtual production capacities on flow commodities
Optimal portfolio strategies benchmarking the stock market
Discrete–time delta hedging and the Black–Scholes model with transaction costs
Shortfall risk minimising strategies in the binomial model: characterisation and convergence
Global Convergence of a Smooth Approximation Method for Mathematical Programs with Complementarity Constraints
Inferring Efficient Weights from Pairwise Comparison Matrices
Minisum location problem with farthest Euclidean distances
M/G/1/MLPS compared with M/G/1/PS within service time distribution class IMRL
A note on vector network equilibrium principles
Perfect information two-person zero-sum markov games with imprecise transition probabilities
Asymptotic convergence of a simulated annealing algorithm for multiobjective optimization problems
The nucleolus of trees with revenues
Mathematical Methods of Operations Research : Volume 64, Issue 1, August 2006
Mathematical Methods of Operations Research : Volume 63
Mathematical Methods of Operations Research : Volume 62
Mathematical Methods of Operations Research : Volume 61
Mathematical Methods of Operations Research : Volume 60
Mathematical Methods of Operations Research : Volume 59
Mathematical Methods of Operations Research : Volume 58
Mathematical Methods of Operations Research : Volume 57
Mathematical Methods of Operations Research : Volume 56
Mathematical Methods of Operations Research : Volume 55
Mathematical Methods of Operations Research : Volume 54
Mathematical Methods of Operations Research : Volume 53
Mathematical Methods of Operations Research : Volume 52
Mathematical Methods of Operations Research : Volume 51
Mathematical Methods of Operations Research : Volume 50
Mathematical Methods of Operations Research : Volume 49
Mathematical Methods of Operations Research : Volume 48
Mathematical Methods of Operations Research : Volume 47
Mathematical Methods of Operations Research : Volume 46
Mathematical Methods of Operations Research : Volume 45

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A note on vector network equilibrium principles

Content Provider Springer Nature Link
Author Li, S. J. Yang, X. Q. Chen, G. Y.
Copyright Year 2006
Abstract An example is given to show that the necessary conditions of Theorem 4.5 [in Chen et al. Math Methods Oper Res 49:239–253, 1999] and Theorem 2.1 (i) [in Goh and Yang Eur J Oper Res 116:615–628, 1999] for (weak) vector equilibrium flows may not hold. New ξ-equilibrium and parametric equilibrium flows are introduced. As a result, necessary and sufficient conditions between a weak vector equilibrium flow and an ξ-equilibrium flow and between a vector equilibrium flow and a parametric equilibrium flow are established.
Starting Page 327
Ending Page 334
Page Count 8
File Format PDF
ISSN 14322994
Journal Mathematical Methods of Operations Research
Volume Number 64
Issue Number 2
e-ISSN 14325217
Language English
Publisher Physica-Verlag
Publisher Date 2006-07-27
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Vector traffic network equilibrium model (Weak) vector equilibrium Weak ξ-equilibrium Weak parametric equilibrium
Content Type Text
Resource Type Article
Subject Management Science and Operations Research Mathematics Software
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