scholarly journals Steady state queue size distribution of an M/M/1 queue with disasters and repairs under Bernoulli working vacation schedule

2020 ◽  
Keyword(s):  
Steady State ◽  
Size Distribution ◽  
Queue Size ◽  
Working Vacation

scholarly journals On anM1,M2/Gr/1queueing system

2000 ◽  
Vol 6 (5) ◽  
pp. 495-503 ◽  
Author(s):  
Lotfi Tadj
Keyword(s):  
Steady State ◽  
Size Distribution ◽  
Queueing System ◽  
Queue Size

The author studies a service delayed queueing system with priority discipline. The joint queue size distribution is derived in the steady state.

scholarly journals Applications of matrix-geometric solutions for queueing performance evaluation of a hybrid switching system

1989 ◽  
Vol 31 (2) ◽  
pp. 219-239 ◽  
Author(s):  
Moshe Zukerman
Keyword(s):  
Steady State ◽  
Packet Delay ◽  
Arrival Process ◽  
Exact Results ◽  
Queue Size ◽  
Switching System ◽  
Hybrid Switching ◽  
Geometric Solutions ◽  
Best Fit ◽  
Queueing Performance

AbstractWe consider a hybrid switch which provides integrated packet (asynchronous) and circuit (isochronous) switching. Queue size and delay distribution of the packet switched traffic in the steady state are derived by modelling the packet queue as a queue in a Markovian environment. The arrival process of the packets as well as of the circuit allocation requests are both modelled by a Poisson process. The analysis is performed for several circuit allocation policies, namely repacking, first-fit (involving static or dynamic renumbering) and best-fit. Both exact results and approximations are discussed. Numerical results are presented to demonstrate the effect of increase in packet and circuit loading on the packet delay for each of the policies.

Relations Among Moments of Waiting Time and Queue Size Distribution in Bulk Queueing Systems

1987 ◽  
Vol 36 (1-2) ◽  
pp. 63-68
Author(s):  
A. Ghosal ◽  
S. Madan ◽  
M.L. Chaudhry
Keyword(s):  
Size Distribution ◽  
Waiting Time ◽  
Queueing Systems ◽  
Queueing Models ◽  
Queue Size ◽  
Different Types

This paper brings out relations among the moments of various orders of the waiting time and the queue size in different types of bulk queueing models.

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