Title :
Moments of Conditional Sojourn Times in Finite Capacity M/M/1/N-PS Processor Sharing Queues
Author_Institution :
Electr. & Electron. Eng. Dept., Bilkent Univ., Ankara, Turkey
fDate :
4/1/2012 12:00:00 AM
Abstract :
Moments of sojourn times conditioned on the length of an admitted job are derived for a finite capacity M/M/1/N-PS processor sharing queue. The mean conditional sojourn time is given in closed form whereas an expression is provided for the conditional variance in such systems involving matrix-vector operations.
Keywords :
matrix algebra; queueing theory; vectors; conditional sojourn times; finite capacity M/M/1/N-PS; matrix-vector operations; processor sharing queues; Admission control; Bandwidth; Closed-form solutions; Generators; Global Positioning System; Markov processes; Vehicles; Processor sharing queue; conditional sojourn time;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2012.020212.112310