Title
Combining Routing and Buffer Allocation Problems in Series-Parallel Queueing Networks
Abstract
Given a series-parallel queueing network topology with exponential servers of finite capacity, a systematic design methodology is presented that approximately solves the optimal routing and buffer space allocation problems within the network. The multi-objective stochastic nonlinear programming problem in integer variables is described and a two-stage iterative optimization procedure is presented which interconnects the routing and buffer space allocation problems. The algorithmic procedure couples the Expansion method, a decomposition method for computing performance measures in queueing networks with finite capacity, along with Powell's unconstrained optimization procedure which allocates the buffers and a multi-variable search procedure for determining the routing probabilities. The effectiveness and efficiency of the resulting two-stage design methodology is tested and evaluated in a series of experimental designs along with simulations of the network topologies.
Year
DOI
Venue
2004
10.1023/B:ANOR.0000011185.77227.ae
Annals OR
Keywords
Field
DocType
queueing networks,finite buffers,optimal routing
Mathematical optimization,Computer science,Nonlinear programming,Server,Network topology,Decomposition method (constraint satisfaction),Backpressure routing,Queueing theory,Layered queueing network,Series and parallel circuits
Journal
Volume
Issue
ISSN
125
1-4
1572-9338
Citations 
PageRank 
References 
7
0.53
12
Authors
2
Name
Order
Citations
PageRank
Sophia Daskalaki129518.52
J. MacGregor Smith249661.72