In this paper second order uid stochastic Petri nets (FSPNs) will be used for modelling reward in a performability model. Two variations of the performability model are presented. In the rst one two uid places are used, one of which represents the proot (reward) obtained by operating the system and the other one the buuer, that is approximated continuously. In the second model only one uid plac...

| This paper presents an eecient and numerically reliable method for the transient analysis of determin-istic and stochastic Petri nets. The transient behavior is described by state equations derived by the method of supplementary variables. Signiicant features of the proposed solution algorithm of fourth order are an automatic stepsize control and a two-stage relative error control. Furthermor...

background: congenital diaphragmatic hernia (cdh) occurs due to a failure in closing pleuroperitoneal membrane thus resulting in an incomplete diaphragm formation1, which allows passage of the abdominal viscera into the thorax.1,3 until 1995, the standard method for treatment of cdh was performed by open surgery through the abdomen or thoracic cavity. minimally invasive approach via thoracoscop...

The p53 regulatory pathway controls cell responses, which include cell cycle arrest, DNA repair, apoptosis and cellular senescence. We propose a stochastic model of p53 regulation, which is based on two feedback loops: the negative, coupling p53 with its immediate downregulator Mdm2, and the positive, which involves PTEN, PIP3 and Akt. Existence of the negative feedback assures homeostasis of h...

A stochastic model for a cold standby system of two identical units is developed in which unit fails completely either directly from normal mode or via partial failure. The unit undergoes preventive maintenance (PM) after a maximum operation time (MOT) at its partial failure stage (PFS). There is a single server who visits the system immediately as and when needed to do preventive maintenance a...

In this article, we survey machine repair problems (MRP) with an emphasis on historical developments of queuing models of practical importance. The survey proceeds historically, starting with developments in 1985, when the first published review on machine interference models appeared. We attempt to elaborate some basic MRP models of the real life congestion situations. The brief survey of some...

For the doing the analysis of a stochastic system rapidly, the key reliability characteristics should be easily and quickly evaluated. Gupta [4] introduced a new technique called Regenerative Point Graphical Technique (RPGT) for doing the reliability analysis of a stochastic system by finding quickly and easily all the key reliability characteristics and other parameters of the system like mean...

Importance sampling is a potentially powerful technique for e ciently estimating the probabilities of rare events in discrete event systems. The work presented here makes three contributions to importance sampling research. First, a convenient mechanism for specifying complex importance sampling heuristics is presented. Second, a method for applying importance sampling to stochastic activity ne...

this paper presents a theoretical model in which the stock growth rate of durable goods has stochastic fluctuation over time. it concludes that a social planner increases the expected percentage rate of production since uncertainty increases the user cost from consumer’s point view.