For a single-server retrial queue with state-dependent exponential interarrival, service and inter-retrial times, we study the time-dependent system size probabilities by employing continued fractions and numerical illustrations are presented. © 2007 Elsevier B.V. All rights reserved.

Panamalai Ramarao Parthasarathy

Parthasarathy P.R

Sudhesh R.

Eigenvalues and eigenfunctions

Numerical methods

time series analysis

CONTINUED FRACTIONS

numerical solution

TIME-DEPENDENT SYSTEM-SIZE PROBABILITIES

Asymptotic stability

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Operations Research Letters

A power series expression in closed form for the transient probabilities of a state-dependent birth-death process is presented with suitable illustrations. Copyright © 2006 P.R. Parthasarathy and R. Sudhesh.

Fulltext

Journal of Applied Mathematics and Stochastic Analysis

Exact transient solution of a state-dependent birth-death process

American Journal of Mathematical and Management Sciences

Birth and Death (BDP) Process Models with Applications

INFORMS Journal on Computing

Computing Laplace Transforms for Numerical Inversion Via Continued Fractions

Mathematical and Computer Modelling

Accessible bibliography on retrial queues

Retrial Queues

Time-dependent analysis of a single-server retrial queue with state-dependent rates

Journal	Operations Research Letters
ISSN	01676377
Open Access	No