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Facetas del politopo de recubrimiento con coeficientes en {0, 1, 2, 3}.

Miguel Sánchez García, M.ª Inés Sobrón Fernández, M.ª Candelaria Espinel Febles (1992)

Trabajos de Investigación Operativa

En dos artículos, publicados en 1989, Balas y Ng dan una metodología para construir facetas del politopo de recubrimiento con coeficientes en {0, 1, 2}. Siguiendo esta metodología, en el presente artículo decimos cómo se contruyen facetas de dicho politopo con coeficientes en {0, 1, 2, 3}.

Fast approximation of minimum multicast congestion – Implementation versus theory

Andreas Baltz, Anand Srivastav (2004)

RAIRO - Operations Research - Recherche Opérationnelle

The problem of minimizing the maximum edge congestion in a multicast communication network generalizes the well-known N P -hard multicommodity flow problem. We give the presently best theoretical approximation results as well as efficient implementations. In particular we show that for a network with m edges and k multicast requests, an r ( 1 + ε ) ( r t e x t O P T + exp ( 1 ) ln m ) -approximation can be computed in O ( k m ε - 2 ln k ln m ) time, where β bounds the time for computing an r -approximate minimum Steiner tree. Moreover, we present a new fast heuristic that...

Fast approximation of minimum multicast congestion – Implementation VERSUS Theory

Andreas Baltz, Anand Srivastav (2010)

RAIRO - Operations Research

The problem of minimizing the maximum edge congestion in a multicast communication network generalizes the well-known NP-hard multicommodity flow problem. We give the presently best theoretical approximation results as well as efficient implementations. In particular we show that for a network with m edges and k multicast requests, an r(1 + ε)(rOPT + exp(1)lnm)-approximation can be computed in O(kmε-2lnklnm) time, where β bounds the time for computing an r-approximate minimum Steiner tree. Moreover,...

Fast computation of the leastcore and prenucleolus of cooperative games

Joseph Frédéric Bonnans, Matthieu André (2008)

RAIRO - Operations Research

The computation of leastcore and prenucleolus is an efficient way of allocating a common resource among n players. It has, however, the drawback being a linear programming problem with 2n - 2 constraints. In this paper we show how, in the case of convex production games, generate constraints by solving small size linear programming problems, with both continuous and integer variables. The approach is extended to games with symmetries (identical players), and to games with partially continuous...

Fast simulation for road traffic network

Roberta Jungblut-Hessel, Brigitte Plateau, William J. Stewart, Bernard Ycart (2001)

RAIRO - Operations Research - Recherche Opérationnelle

In this paper we present a method to perform fast simulation of large markovian systems. This method is based on the use of three concepts: Markov chain uniformization, event-driven dynamics, and modularity. An application of urban traffic simulation is presented to illustrate the performance of our approach.

Fast simulation for Road Traffic Network

Roberta Jungblut-Hessel, Brigitte Plateau, William J. Stewart, Bernard Ycart (2010)

RAIRO - Operations Research

In this paper we present a method to perform fast simulation of large Markovian systems. This method is based on the use of three concepts: Markov chain uniformization, event-driven dynamics, and modularity. An application of urban traffic simulation is presented to illustrate the performance of our approach.

Fault diagnosis of networked control systems

Christophe Aubrun, Dominique Sauter, Joseph Yamé (2008)

International Journal of Applied Mathematics and Computer Science

Networked Control Systems (NCSs) deal with feedback control systems with loops closed via data communication networks. Control over a network has many advantages compared with traditionally controlled systems, such as a lower implementation cost, reduced wiring, simpler installation and maintenance and higher reliability. Nevertheless, the networkinduced delay, packet dropout, asynchronous behavior and other specificities of networks will degrade the performance of closed-loop systems. In this context,...

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