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Lexicographic α-robustness: an application to the 1-median problem

R. Kalaï, M. A. Aloulou, Ph. Vallin, D. Vanderpooten (2010)

RAIRO - Operations Research

In the last decade, several robustness approaches have been developed to deal with uncertainty. In decision problems, and particularly in location problems, the most used robustness approach rely either on maximal cost or on maximal regret criteria. However, it is well known that these criteria are too conservative. In this paper, we present a new robustness approach, called lexicographic α-robustness, which compensates for the drawbacks of criteria based on the worst case. We apply this approach...

Limited space double channel Markovian queue with heterogeneus servers.

O.P. Sharma, J. Dass (1990)

Trabajos de Investigación Operativa

For a double channel Markovian queue with finite waiting space and unequal service rates at the two counters, the difference equations satisfied by the Laplace transforms of the state probabilities at finite time are solved and the state probabilities have been obtained. The closed form of the state probabilities can be used to obtain the important parameters of the system.

Localización minimax bajo posiciones aleatorias de los destinos.

José Muñoz Pérez (1984)

Trabajos de Estadística e Investigación Operativa

En este trabajo estudiamos el problema de localización minimax cuando no se conocen exactamente las coordenadas de los destinos, pero vienen especificadas por variables aleatorias con distribución conocida. Hemos analizado este problema bajo el criterio del valor esperado y el criterio de probabilidad máxima, por medio de la dominancia estocástica. Probamos, a través del concepto de valor esperado de información perfecta, que se puede obtener una reducción considerable de la distancia máxima cuando...

Localización sobre redes estocásticas con criterio minisum.

José Muñoz Pérez (1982)

Trabajos de Estadística e Investigación Operativa

Se considera el problema de localización de centros de servicio sobre redes estocásticas, donde los puntos de demanda son cada uno de los puntos de los arcos, así como los nodos de la red y el tiempo de duración de los trayectos, sobre los arcos de la red, son variables aleatorias discretas con distribuciones de probabilidad conocidas. Bajo un conjunto particular de supuestos, se encuentra que siempre existe un conjunto de m puntos de la red que son puntos medios de los arcos, o nodos de la red,...

Location of polygon vertices on circles and its application in transport studies

Ján Černý, Filip Guldan (1987)

Aplikace matematiky

The paper deals with the problem how to locate a set of polygon vertices on given circles fulfilling some criteria of "regularity" of individual and composed polygons. Specifying the conditions we can obtain a lot of particular versions of this general problem. Some of them are already solved, the others are not. Applications of this theory can be found in scheduling of periodically repeating processes, e.g. in coordination of several urban lines on a common leg, in optimization of the rhythm of...

Long-term planning versus short-term planning in the asymptotical location problem

Alessio Brancolini, Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov (2009)

ESAIM: Control, Optimisation and Calculus of Variations

Given the probability measure ν over the given region Ω n , we consider the optimal location of a set Σ composed by n points in Ω in order to minimize the average distance Σ Ω dist ( x , Σ ) d ν (the classical optimal facility location problem). The paper compares two strategies to find optimal configurations: the long-term one which consists in placing all n points at once in an optimal position, and the short-term one which consists in placing the points one by one adding at each step at most one point and preserving...

Long-term planning versus short-term planning in the asymptotical location problem

Alessio Brancolini, Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov (2008)

ESAIM: Control, Optimisation and Calculus of Variations

Given the probability measure ν over the given region Ω n , we consider the optimal location of a set Σ composed by n points in Ω in order to minimize the average distance Σ Ω dist ( x , Σ ) d ν (the classical optimal facility location problem). The paper compares two strategies to find optimal configurations: the long-term one which consists in placing all n points at once in an optimal position, and the short-term one which consists in placing the points one by one adding at each step at most one point and preserving...

Lower bounds for the scheduling problem with uncertain demands

Djamel Berkoune, Khaled Mesghouni, Besoa Rabenasolo (2006)

International Journal of Applied Mathematics and Computer Science

This paper proposes various lower bounds to the makespan of the flexible job shop scheduling problem (FJSP). The FJSP is known in the literature as one of the most difficult combinatorial optimisation problems (NP-hard). We will use genetic algorithms for the optimisation of this type of problems. The list of the demands is divided in two sets: the actual demand, which is considered as certain (a list of jobs with known characteristics), and the predicted demand, which is a list of uncertain jobs....

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