Density-Dependent Birth and Death Processes with Controlled Immigration

Author

Krisna KUMAR, Indian Institute of Technology
P. R. PARTHASARATHY, University of Madras
Sharafali MOOSA, Singapore Management UniversityFollow

Publication Type

Journal Article

Publication Date

1993

Abstract

A density-dependent birth and death process in which immigration is permitted only when the number of particles in the system is less than a positive integer kis considered. An explicit expression for the probability generating function of the population size is obtained by using a direct and unconventional approach. Special cases are discussed.

Discipline

Operations and Supply Chain Management | Operations Research, Systems Engineering and Industrial Engineering

Research Areas

Operations Management

Publication

Stochastic Analysis and Applications

Volume

11

Issue

2

First Page

181

Last Page

196

ISSN

0736-2994

Identifier

10.1080/07362999308809310

Publisher

Taylor and Francis

Citation

KUMAR, Krisna; PARTHASARATHY, P. R.; and MOOSA, Sharafali. Density-Dependent Birth and Death Processes with Controlled Immigration. (1993). Stochastic Analysis and Applications. 11, (2), 181-196.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/896

Additional URL

https://doi.org/10.1080/07362999308809310