Title :
Analysis of Closed Queuing Networks with Periodic Servers
Author :
Gonnet, Gaston H. ; Morgan, David E.
Author_Institution :
Pontificia Universidade Catolica
Abstract :
A periodic network is a queuing network whose steady-state behavior is not constant in time, but repeats itself in a cycle. This behavior may be caused by the introduction of periodic servers, e.g., paging drums. The model presented is a generalization of some other models of queuing networks, and provides a more general definition of steady-state behavior. A theoretical solution is presented. Examples of theoretical and approximate solutions are presented for a well-known queuing network model of a computer system.
Keywords :
Bounded variation periodic functions; computer networks; computer system modeling; eigenvalue and eigenvector problem; periodic servers; queuing networks; time sharing systems; Brazil Council; Computer networks; Computer science; Eigenvalues and eigenfunctions; Modeling; Network servers; Queueing analysis; Steady-state; Time sharing computer systems; Bounded variation periodic functions; computer networks; computer system modeling; eigenvalue and eigenvector problem; periodic servers; queuing networks; time sharing systems;
Journal_Title :
Software Engineering, IEEE Transactions on
DOI :
10.1109/TSE.1979.230201