Markov Chain Based Priority Queueing Model for Packet Scheduling and Bandwidth Allocation

Author(s):  
Reema Sharma ◽  
Navin Kumar ◽  
T. Srinivas
2000 ◽  
Vol 14 (1) ◽  
pp. 57-79 ◽  
Author(s):  
Jean-François Dantzer ◽  
Mostafa Haddani ◽  
Philippe Robert

The stability properties of the bandwidth allocation algorithm First Fit are analyzed for some distributions on the sizes of the requests. Fluid limits are used to get the ergodicity results. When there are two possible sizes, the description of the transient behavior involves a finite Markov chain on the exit states of a transient Markov chain on a countable state space. The explicit expression of this exit matrix is given.


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