Transient analysis of state-dependent queueing networks via cumulant functions Academic Article

abstract

• A new procedure that generates the transient solution of the first moment of the state of a Markovian queueing network with state-dependent arrivals, services, and routeing is developed. The procedure involves defining a partial differential equation that relates an approximate multivariate cumulant generating function to the intensity functions of the network. The partial differential equation then yields a set of ordinary differential equations which are numerically solved to obtain the first moment.

authors

• Feldman, Richard

published proceedings

• JOURNAL OF APPLIED PROBABILITY

author list (cited authors)

• Matis, T. I., & Feldman, R. M.

citation count

• 1

complete list of authors

• Matis, TI||Feldman, RM

publication date

• December 2001

publisher

• Cambridge University Press (CUP)  Publisher

published in

• Journal of Applied Probability  Journal

keywords

• Cumulant Generating Functions
• Queueing Networks
• Queues
• Transient Solutions

Digital Object Identifier (DOI)

• 10.1017/S0021900200019070

start page

• 841

end page

• 859

volume

• 38

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1017%2Fs0021900200019070