Browsing Volume 2000 by Title
Now showing items 1627 of 27

20000321BuchRandom lsc functions Random lsc (lower semicontinuous) functions can be indentified with a vectorvalued random variable by means of an appropriate scalarization. It is shown that stationarity, ergodicity and independence properties are preserved ...

20000207BuchRandom lsc functions An ergodic theorem for random lsc functions is obtained by relying on a (novel) 'scalarization' of such functions. In the process, Kolmogorov's extension theorem for randon lsc functions is established. Applications to ...

20000327BuchRobust path choice in networks with failures The problem of adaptive routing in a network with failures is considered. The network may be in one of finitely many states characterized by different travel times along the arcs, and transitions between the states occur ...

20000814BuchScenario reduction in stochastic programming: An approach using probability metrics Given a convex stochastic programming problem with a discrete initial probability distribution, the problem of optimal scenario reduction is stated as follows: Determine a scenario subset of prescribed cardinality and a ...

20000131BuchStochastic programming by Monte Carlo simulation methods We consider in this paper stochastic programming problems which can be formulated as an optimization problem of an expected value function subject to deterministic constraints. We discuss a Monte Carlo simulation approach ...

20001102BuchStructure and stability of probabilistic storage level constraints We consider the structure of probabilistic storage level constraints as well as the stability of solutions to optimization problems involving such constraints. Apart from the general case, special structures with and without ...

20001219BuchThe C 3 theorem and a D 2 algorithm for large scale stochastic integer programming This paper considers the two stage stochastic integer programming problems, with an emphasis on problems in which integer variables appear in the second stage. Drawing heavily on the theory of disjunctive programming, we ...

20000401BuchThe performance of stochastic dynamic and fixed mix portfolio models The purpose of this paper is to demonstrate how to evaluate stochastic programming models, and more specifically to compare two different approaches to asset liability management. The first uses multistage stochastic ...

20001128BuchThe stable nonGaussian asset allocation We analyze a multistage stochastic asset allocation problem with decision rules. The uncertainty is modeled using economic scenarios with Gaussian and stable Paretian nonGaussian innovations. The optimal allocations under ...

20000413BuchTime to wealth goals in capital accumulation This paper considers the problem of continuous investment of capital in risky assets over time. Using a Bayesian framework, a model for asset prices is developed where the current price dynamics depend on the history of ...

20000131BuchVariablesample methods and simulated annealing for discrete stochastic optimization In this paper we study a modifcation of the wellknown simulated annealing method, adapting it to discrete stochastic optimization problems. Our algorithm is based on a variablesample Monte Carlo technique, in which the ...

20000124BuchVolumetric center method for stochastic convex programs using sampling We develop an algorithm for solving the stochastic convex program (SCP) by combining Vaidya's volumetric center interior point method (VCM) for solving nonsmooth convex programming problems with the MonteCarlo sampling ...