Title :
Simple relationships among moments of queue lengths in product form queueing networks
Author :
De Souza e Silva, Edmundo ; Muntz, Richard R.
Author_Institution :
Dept. of Electr. Eng., Pontificia Univ. Catolica, Rio de Janeiro, Brazil
fDate :
9/1/1988 12:00:00 AM
Abstract :
Obtains simple relationships among partial derivatives and moments of mean queue lengths in product form queueing network models. It is shown that the mean value analysis equations can be used to obtain recursive expressions which make it possible to easily evaluate these moments in a mean value analysis type recursion. These results are also considered important in applications such as optimization problems and sensitivity analysis. Finally, it is shown that some known mean value equations can be easily derived from the results proven
Keywords :
optimisation; performance evaluation; queueing theory; sensitivity analysis; mean queue lengths; mean value analysis; moments; optimization problems; partial derivatives; product form; queue lengths; queueing network models; queueing networks; recursive expressions; sensitivity analysis; Automata; Circuits; Delay; Equations; Fault tolerance; Intelligent networks; Network servers; Queueing analysis; Sensitivity analysis; Throughput;
Journal_Title :
Computers, IEEE Transactions on
