UTILIZATION OF THE METHOD OF LINEAR MATRIX EQUATIONS TO SOLVE A QUASI-BIRTH-DEATH PROBLEM Academic Article

abstract

• The steady-state analysis of a quasi-birth-death process is possible by matrix geometric procedures in which the root to a quadratic matrix equation is found. A recent method that can be used for analyzing quasi-birthdeath processes involves expanding the state space and using a linear matrix equation instead of the quadratic form. One of the difficulties of using the linear matrix equation approach regards the boundary conditions and obtaining the norming equation. In this paper, we present a method for calculating the boundary values and use the operator-machine interference problem as a vehicle to compare the two approaches for solving quasi-birth-death processes.

authors

• Feldman, Richard

published proceedings

• JOURNAL OF APPLIED PROBABILITY

author list (cited authors)

• FELDMAN, R. M., DEUERMEYER, B. L., & VALDEZFLORES, C.

citation count

• 4

complete list of authors

• FELDMAN, RM||DEUERMEYER, BL||VALDEZFLORES, C

publication date

• January 1993

publisher

• Cambridge University Press (CUP)  Publisher

published in

• Journal of Applied Probability  Journal

keywords

• Lci-completeness
• Matrix Geometric
• Quasi-birth-death Process
• Queues

Digital Object Identifier (DOI)

• 10.2307/3214772

start page

• 639

end page

• 649

volume

• 30

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.2307%2F3214772