Distributed asynchronous deterministic and stochastic gradient optimization algorithms

J Tsitsiklis, D Bertsekas… - IEEE transactions on …, 1986 - ieeexplore.ieee.org
We present a model for asynchronous distributed computation and then proceed to analyze
the convergence of natural asynchronous distributed versions of a large class of …

Nonlinear cost network models in transportation analysis

M Florian - Netflow at Pisa, 1986 - Springer
The analysis of transportation phenomena by quantitative approaches naturally gives rise to
network models that represent the spatial characteristics of the transport infrastructure. This …

[图书][B] Tailoring Benders decomposition for uncapacitated network design

TL Magnanti, P Mireault, RT Wong - 1986 - Springer
Because of its imbedded network flow structure, the generic network design problem is an
attractive candidate for integer programming decomposition. This paper studies the …

A paradox of congestion in a queuing network

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 …

Second derivative algorithms for minimum delay distributed routing in networks

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 …

Distributed asynchronous optimal routing in data networks

J Tsitsiklis, D Bertsekas - IEEE Transactions on Automatic …, 1986 - ieeexplore.ieee.org
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 …

A unified description of iterative algorithms for traffic equilibria

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 …

Distributed iterative aggregation algorithms for box-constrained minimization problems and optimal routing in data networks

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 …

Convergence theories of distributed iterative processes: A survey

DP Bertsekas, JN Tsitsiklis, M Athans - Stochastic Programming, 2005 - Springer
We consider a model of distributed iterative algorithms whereby several processors
participate in the computation while collecting, possibly stochastic information from the …

Complexity of gradient projection method for optimal routing in data networks

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 …