In this paper, we consider a new formulation for stochastic mathematical programs with complementarity constraints and recourse. We show that the new formulation is equivalent to a smooth semi-infinite program that does no longer contain recourse variables. Optimality conditions for the problem are deduced and connections among the conditions are investigated. Then, we propose a combined Monte ...

In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the expected integer recourse function, we prove that under mild conditions an optimal solution is containe...

n this paper the problem of capacity planning under risk from demand and price/cost uncertainty of the finished products is addressed. The deterministic model is extended into a two-stage stochastic model with fixed recourse by means of various expected levels of demand as random. A recourse penalty is also included in the objective for both shortage and surplus in the finished products. The mo...

Ariyawansa and Zhu have introduced a class of volumetric barrier decomposition algorithms [5] for solving two-stage stochastic semidefinite programs with recourse (SSDPs) [4]. In this paper we utilize their work for SSDPs to derive a class of volumetric barrier decomposition algorithms for solving two-stage stochastic quadratic programs with recourse and to establish polynomial complexity of ce...

We develop a convex approximation for two-stage mixed-integer recourse models and we derive an error bound for this approximation that depends on all total variations of the probability density functions of the random variables in the model. We show that the error bound converges to zero if all these total variations converge to zero. Our convex approximation is a generalization of the one in C...

We propose a new variant of the two-stage recourse model. It can be used e.g., in managing resources in whose supply random interruptions may occur. Oil and natural gas are examples for such resources. Constraints in the resulting stochastic programming problems can be regarded as generalizations of integrated chance constraints. For the solution of such problems, we propose a new decomposition...

the present paper deals with development of a simulation model for the performance evaluation of feed water system of a thermal power plant using markov birth-death process and probabilistic approach. in present paper, the feed water system consists of four subsystems. after drawing transition diagram for feed water system, differential equations are developed and then solved recursively using ...

Objectives: The role of cognitive process for postural control was shown in dual task studies. However, there was no definite evidence how verbal instructions influence the allocation of attention to postural control. This study determined whether young and elderly adult are able to deliberately control the resource allocation when performing a sensorimotor and cognitive task simultaneously and...