Paper Info
Title
Queueing model with state dependent balking and reneging: its complementary and equivalence
Abstract
In this paper, the concepts of complementarity and equivalence between an M/M/c/K queueing model with state dependent balking and reneging and a machine interference problem with warm standbys are formalized. The relationship provides insight into these queueing systems. Through a series of corollaries, relationships between various queueing systems are derived. It is shown that a recently reported relationship between Erlang loss system and a finite source queueing system is a trivial consequence of the more general results presented here. New results involving the arrival point probabilities and measures of performance for these two queueing systems are also presented. An example is also provided.
Year
DOI
Venue
1995
10.1145/202100.202104
SIGMETRICS Performance Evaluation Review
Keywords
Field
DocType
various queueing system,k queueing model,queueing model,new result,arrival point probability,machine interference problem,finite source,general result,erlang loss system,queueing system,trivial consequence
Mean value analysis,Kendall's notation,M/D/1 queue,Bulk queue,M/M/c queue,Computer science,M/D/c queue,Real-time computing,Layered queueing network,M/M/∞ queue
Journal
Volume
Issue
Citations 
22
2-4
1
PageRank 
References 
Authors
0.39
5
1
Name
Order
Citations
PageRank
Surendra M. Gupta132931.28