Title
Asymptotics of the Partition Function in Large Closed BCMP Networks with Bottlenecks
Abstract
We consider a two-chain exponential queueing network with a large number of customers, which consists of one infinite-server (lS) station and two processor-sharing (PS) or FCFS single-server stations. Asymptotic behavior of the partition function is studied for such a network when one or both PS (FCFS) nodes are heavily loaded. The results are derived using methods of multidimensional complex analysis (the theory of homologies and residues) and the saddle-point method.
Year
DOI
Venue
1995
10.1109/MASCOT.1995.378704
MASCOTS
Keywords
Field
DocType
two-chain exponential,large closed bcmp networks,partition function,fcfs single-server station,large number,saddle-point method,asymptotic behavior,multidimensional complex analysis,homologies,computer networks,queueing theory,intelligent networks,steady state,distributed computing,multidimensional systems
Saddle,Exponential function,Computer science,Partition function (statistical mechanics),Queueing theory,Intelligent Network,Steady state,Asymptotic analysis,Multidimensional systems,Distributed computing
Conference
ISBN
Citations 
PageRank 
0-8186-6902-0
0
0.34
References 
Authors
5
2
Name
Order
Citations
PageRank
Yaakov Kogan111821.46
Andrei Yakovlev220615.42