Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process

Stationary Distribution of a Perturbed Quasi-birth-and-death Process

Spectral properties of birth-death polynomials

We consider sequences of polynomials that are defined by a threeterms recurrence relation and orthogonal with respect to a positive measure on the nonnegative axis. By a famous result of Karlin and McGregor such sequences are instrumental in the analysis of birth-death processes. Inspired by problems and results in this stochastic setting we present necessary and sufficient conditions in terms ...

A general theory on spectral properties of state-homogeneous finite-state quasi-birth-death processes

In this paper a spectral theory pertaining to Quasi-Birth-Death Processes (QBDs) is presented. The QBD, which is a generalization of the BirthDeath Process, is a powerful tool that can be utilized in modeling many stochastic phenomena. Our theory is based on the application of a matrix polynomial method to obtain the steady-state probabilities in state-homogeneous finite-state QBDs. The method ...

Quasi-Birth-and-Death Processes with Rational Arrival Process Components

In this paper we introduce the concept of a Quasi-Birth-and-Death process (QBD) with Rational Arrival Process components. We use the physical interpretation of a Rational Arrival Process (RAP), developed by Asmussen and Bladt, to consider such a Markov process. We exploit this interpretation to develop an analytic method for such a process, that parallels the analysis of a traditional QBD. We d...

a study on the design of bio-ethanol process from date wastes of sistan and baluchistan province

اتانول کاربردهای متنوعی در صنایع لاستیک سازی، رنگسازی، حلالها ومکمل سوخت خودرو دارد. اتانول برخلاف نفت از جمله مواد تجدیدپذیر محسوب می شود که مشکلات زیست محیطی و آلودگی نیز ایجاد نمی کند. استفاده از اتانول به عنوان مکمل سوختخودروها از جمله مهمترین مصارف صنعتی این ماده بشمار می رود. با توجه به این موضوع تحقیق و توسعه در زمینه تولید اتانول با درجه خلوص بالا در سطح جهان، و نه تنها در کشور های پیشر...