In this paper, we propose a framework for selecting a high quality global optimal solution for discrete stochastic optimization problems with a predetermined confidence level using general random search methods. This procedure is based on performing the random search algorithm several...

We consider a call center model with m input flows and r pools of agents; the m-vector \lambda of instantaneous arrival rates is allowed to be time dependent and to vary stochastically. Seeking to optimize the trade-off between personnel costs and abandonment penalties, we develop and illustrate...

General multiperiod optimal consumption and investment problems with proportional transaction costs are investigated in this paper, a GARCH-type process is used to model the risky asset’s return series so that its time-varying moments and conditional heteroskedasticity can be properly...

The aim of this paper is to analyse the role of uncertainty in shaping the decisions of firms in the underground economy. Following the option value approach, we present a dynamic model which captures (i) the irreversibility of riallocation decisions from the underground sector to the legal...

We consider nonlinear stochastic optimization problems with probabilistic constraints. The concept of a p-efficient point of a probability distribution is used to derive equivalent problem formulations, and necessary and sufficient optimality conditions. We analyze the dual functional and its...

We are concerned with land allocation andinvestment decisions when dealing withpartially degraded areas that might be (1)remediated and returned to a more natural state;or (2) irreversibly developed. This type ofproblem seems particularly relevant in Europewhere the issue of wilderness...

We consider stochastic optimization problems involving stochastic dominance constraints of first order, also called stochastic ordering constraints. They are equivalent to a continuum of probabilistic constraints or chance constraints. We develop first order necessary and sufficient conditions...