scholarly journals Analysis of the Transient Delay in a Discrete-Time Buffer with Batch Arrivals

2008 ◽  
Author(s):  
Joris Walraevens ◽  
Dieter Fiems ◽  
Herwig Bruneel
Keyword(s):  
Discrete Time ◽  
Batch Arrivals ◽  
Time Buffer

scholarly journals Discrete-time buffer systems with session-based arrival streams

2010 ◽  
Vol 67 (6) ◽  
pp. 432-450 ◽  
Author(s):  
L. Hoflack ◽  
S. De Vuyst ◽  
S. Wittevrongel ◽  
H. Bruneel
Keyword(s):  
Discrete Time ◽  
Time Buffer

scholarly journals The delay distribution of a type k customer in a first-come-first-served MMAP[K]/PH[K]/1 queue

2002 ◽  
Vol 39 (1) ◽  
pp. 213-223 ◽  
Author(s):  
B. Van Houdt ◽  
C. Blondia
Keyword(s):  
Discrete Time ◽  
Analytical Methods ◽  
Queueing System ◽  
Batch Arrivals ◽  
Numerical Examples ◽  
Delay Distribution ◽  
Type K ◽  
Arrival Processes ◽  
Algorithmic Procedure

This paper presents an algorithmic procedure to calculate the delay distribution of a type k customer in a first-come-first-served (FCFS) discrete-time queueing system with multiple types of customers, where each type has different service requirements (the MMAP[K]/PH[K]/1 queue). First, we develop a procedure, using matrix analytical methods, to handle arrival processes that do not allow batch arrivals to occur. Next, we show that this technique can be generalized to arrival processes that do allow batch arrivals to occur. We end the paper by presenting some numerical examples.

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