The analysis of transportation phenomena by quantitative approaches naturally gives rise to network models that represent the spatial characteristics of the transport infrastructure. This …
Because of its imbedded network flow structure, the generic network design problem is an attractive candidate for integer programming decomposition. This paper studies the …
JE Cohen, FP Kelly - Journal of Applied Probability, 1990 - cambridge.org
In an uncongested transportation network, adding routes and capacity to an existing network must decrease, or at worst not change, the average time individuals require to travel through …
D Bertsekas, E Gafni, R Gallager - IEEE Transactions on …, 1984 - ieeexplore.ieee.org
We propose a class of algorithms for finding an optimal quasi-static routing in a communication network. The algorithms are based on Gallager's method [1] and provide …
In this paper we study the performance of a class of distributed optimal routing algorithms of the gradient projection type under weaker and more realistic assumptions than those …
M Patriksson - European Journal of Operational Research, 1993 - Elsevier
The purpose of this paper is to provide a unified description of iterative algorithms for the solution of traffic equilibrium problems. We demonstrate that a large number of well known …
WK Tsai, G Huang, JK Antonio… - IEEE transactions on …, 1989 - ieeexplore.ieee.org
A gradient-projection algorithm using iterative aggregation and disaggregation is proposed and analyzed for box-constrained minimization problems. In a distributed computation …
We consider a model of distributed iterative algorithms whereby several processors participate in the computation while collecting, possibly stochastic information from the …
WK Tsai, JK Antonio, GM Huang - IEEE/ACM Transactions on …, 1999 - ieeexplore.ieee.org
In this paper, we derive a time-complexity bound for the gradient projection method for optimal routing in data networks. This result shows that the gradient projection algorithm of …