Most available integration techniques for stochastically driven engineering dynamical systems are based on stochastic Taylor expansions of the response variables and thus require numerical modelling of multiple stochastic integrals (MSI-s). Since the latter is an extremely involved numerical task and becomes inaccurate for higher level MSI-s, these methods fail to achieve an accuracy beyond a l...

The fluctuations of the vacuum energy are treated as a non-equilibrium process and a stochastic model for the cosmological constant is presented, which yields a natural explanation for the smallness or zero value of the constant in the present epoch and its large value in an era of inflation in the early universe. Typeset using REVTEX 1 It is widely considered that the problem of the cosmologic...

We present a simulation algorithm that accurately propagates a molecule pair using large time steps without the need to invoke the full exact analytical solutions of the Smoluchowski diffusion equation. Because the proposed method only uses uniform and Gaussian random numbers, it allows for position updates that are two to three orders of magnitude faster than those of a corresponding scheme ba...

In recent years manufacturers have taken initiatives to integrate information within their supply chains in order to provide quick response to customer needs. In this paper, we study the in uence of sharing supplier capacity information (available-to-promise capacity) on the performance of a supply chain. We consider a manufacturer who orders raw materials from two alternative suppliers di erin...

Analyzing insurance loss data we derive stochastic storm damage functions for residential buildings. On district level we fit power law relations between daily loss and maximum wind speed, typically spanning more than 4 orders of magnitude. The estimated exponents for 439 German districts roughly range from 8 to 12. In addition, we find correlations among the parameters and socio-demographic da...

performance evaluation of universities is an important issue between researchers. classic data envelopment analysis (dea) models with deterministic data have been used by many authors to measure efficiency of universities in different countries. however, dea with stochastic data are, rarely used to measure efficiency of universities. in this paper, input oriented model in stochastic data envelo...

One of the big challenges in decision analysis is the assessment of a decision maker’s utility function. To the extent that the alternatives under consideration in a decision-making problem can be partially ordered based on less-than-full information about the utility function, the problem can be simplified somewhat by eliminating dominated alternatives. At the same time, partial orders can hel...

Exogenous demand assumptions provide accurate results at the retail level. As we go in the supply chain, the orders of the buyers get more complicated. The orders are influenced by both the decisions of the supplier and the costs of the buyer’s operations. Therefore, it is critical for a supplier to understand the ordering behavior of a buyer in order to manage her operations. We consider a two...

This paper presents a simulation approach for employee days-off scheduling when the daily labour demands are random variables. A simulation model is constructed, and a case study application of the proposed approach is described. The model recognizes limited staff availability, stochastic workload variability, and policy restrictions on the choice of employee work schedules. The model has been ...

The problem of how t,o design mukiproduct batch plant,s for the case of uncertain product demands described by any continuous/discrete probability distributional form, is considered in this paper. Based on a stochastic programming formulation, featuring an objective function comprising investment costs for equipment sizing, expected revenues from product sales and a pena.lty term accounting for...