This paper deals with generalized vector quasi-equilibrium problems. Using a so-called nonlinear scalarization function and a fixed point theorem, existence theorems for two classes of generalized vector quasi-equilibrium problems are established. Copyright Springer-Verlag 2005

This paper derives the optimal trajectories in a general fluid network with server control. The stationary optimal policy in the complete state space is constructed. The optimal policy is constant on polyhedral convex cones. An algorithm is derived that computes these cones and the optimal...

For the discrete-time bulk service queueing model, the mean and variance of the steady-state queue length can be expressed in terms of moments of the arrival distribution and series of the zeros of a characteristic equation. In this paper we investigate the behaviour of these series. In...

In this paper we propose a non-interior-point smoothing algorithm for solving the monotone nonlinear complementarity problem (NCP). The proposed algorithm is simpler than many existing non-interior-point smoothing algorithms in the sense that it only needs to solve one system of linear equations...

This paper deals with denumerable discrete-time Markov decision processes with unbounded costs. The criteria to be minimized are both of the limsup and liminf average criteria, instead of only the limsup average criterion widely used in the previous literature. We give another set of conditions...

We consider stationary Poisson line processes in the Euclidean plane and analyze properties of Voronoi tessellations induced by Poisson point processes on these lines. In particular, we describe and test an algorithm for the simulation of typical cells of this class of Cox–Voronoi...

This paper is written in honour to A. Hordijk. It establishes product form results for a generic and instructive multi-class tandem queue with blocking, to which A. Hordijk has directly and indirectly contributed. First, a sufficient and necessary product form characterization is provided. Next,...

We propose a necessary and sufficient condition for the existence of core to the context of multi-choice NTU games. Copyright Springer-Verlag 2005

We argue the importance of studying service systems in which the successful completion of job/customer service cannot be observed contemporaneously. Military and other applications are cited. The allocation of a large amount of processing to a job may make its (unobservable) successful...

A set of jobs, with stochastic processing times, is to be processed on a machine which is subject to breakdown and repair. The machine’s uptime is assumed to have a general phase type distribution, the processing time of each job and the repair times of the machine are generally considered as...