In this paper we study the multiple systems of repair problem and present N-system with one working and the other systems are in repair, in standby or waiting repair. When the working system can fails it goes to repair and instantaneously a standby system becomes the working one. Standby system stands to system when the original system is on under repair. The systems are repair following the ar...

The use of phase-type distributions has been suggested as a way to extend the representational power of the continuous time Bayesian network framework beyond exponentiallydistributed state transitions. However, much of the discussion has focused on approximating a distribution that is learned from available data. This method is inadequate for applications where there is not sufficient data to r...

Queuing models are important tools for studying the performance of complex systems, but despite the substantial queuing theory literature, it is often necessary to use approximations in the case the system is nonmarkovian. Phase type distribution is by now indispensable tool in creation of queuing system models. The purpose of this paper is to suggest a method and software for evaluating queuin...

This paper describes a novel moment matching based fitting method for phase-type (PH) distributions. A special sub-class of phase-type distributions is introduced for the fitting, called generalized hyper-Erlang distributions. The user has to provide only two parameters: the number of moments to match, and the upper bound for the sum of the multiplicities of the eigenvalues of the distribution,...

Splashing of splat particles is one of the most important phenomena in industrial processes such as thermal spray coating. The data relative to the degree of splashing of splats sprayed with a normal angle are commonly characterized by the Weibull distribution function. In this present study, an effort has been made to show that the Burr distribution is better than the Weibull distribution for ...

In this paper, we provide a matrix-analytic solution for randomized load balancing models (also known as supermarket models) with phase-type (PH) service times. Generalizing the service times to the phase-type distribution makes analysis of the supermarket models more difficult and challenging than that of the exponential service time case which has been extensively discussed in the literature....

We consider the waiting time (delay) W in a FCFS c{server queue with arrivals which are either renewal or governed by Neuts' Markovian arrival process, and (possibly heterogeneous) service time distributions of general phase{type Fi, with mi phases for the ith server. The distribution of W is then again phase{type, with m1 mc phases for the general heterogeneous renewal case and m + c ? 1 c pha...

conclusions although in our study washout pattern was the most powerful indicator for malignant pathology in non mass like enhancing lesions, more studies with larger sample size needs in this regard. background several studies on the diagnostic efficacy of mri has not real consensus for the accuracy of mri characteristics in non mass like breast lesions, and the number of malignant lesions in ...

Background: There is no data on the characteristics of patients with localized scleroderma in Iran. Objective: In order to determine the age, sex and type distribution of localized scleroderma in Iran, this study was done on patients referred to Boo-Ali Hospital in Tehran in 1995-1999. Patients and Methods: This study was done as an existing data study on 39 patients with localized scleroderma ...