The total sojourn time distribution in a stochastic compartmental model
type: Item
instance of: scholarly article
title: The total sojourn time distribution in a stochastic compartmental model
zbMATH Open document ID: 0698.60072
DOI: 10.1016/0895-7177(89)90237-9
author: P. R. Parthasarathy
author: Moosa Sharafali
published in: Mathematical and Computer Modelling
publication date: 1989-01-01T00:00:00Z
review text: The total time spent by both a single particle and by all the particles up to an instant in a particular compartment in a semi-Markov compartmental system is discussed. The stream of particles entering the system is a renewal process. The particles in the system behave independently of each other. A particle which leaves the system will not re-enter. It is shown, that a particle's progress through the system is a semi-Markov process. The approach is direct and the problem is treated with special reference to compartment models. The model considered is more realistic than others referred to in the sense that it may be used to generate residence time moments of simple systems with non-exponential referation times. Special cases of an irreversible system and the Markov compartmental model are also considered.
reviewed by: J.Tanko
Mathematics Subject Classification ID: 60K15
zbMATH DE Number: 4145081
zbMATH Keywords: sojourn times
zbMATH Keywords: semi-Markov compartmental system
zbMATH Keywords: semi-Markov process
zbMATH Keywords: irreversible system
MaRDI profile type: Publication
full work available at URL: 0895-7177(89)90237-9
OpenAlex ID: W2074559232
cites work: Q3696913
cites work: Sojourn time distribution in a stochastic compartmental system
cites work: A semi-markov approach to stochastic compartmental models
cites work: On occupation times for quasi-Markov processes
cites work: Stochastic Models of Compartmental Systems
description: scientific article; zbMATH DE number 4145081