scholarly journals The Round-Robin Service Discipline in Discrete Time for Phase-Type Distributed Packet-Lengths

1998 ◽  
pp. 355-374
Author(s):  
K. Laevens
Keyword(s):  
Discrete Time ◽  
Round Robin ◽  
Service Discipline ◽  
Phase Type

A new approach to the M/G/1 processor-sharing queue

1984 ◽  
Vol 16 (1) ◽  
pp. 202-213 ◽  
Author(s):  
R. Schassberger
Keyword(s):  
Residence Time ◽  
Discrete Time ◽  
Round Robin ◽  
Processor Sharing ◽  
New Approach ◽  
Approximating Sequence ◽  
Residence Time Distributions

The M/G/1 processor-sharing queue is studied by way of an approximating sequence of models featuring a round-robin discipline and operating in discrete time. In particular, residence-time distributions of jobs are derived.

A new approach to the M/G/1 processor-sharing queue

1984 ◽  
Vol 16 (01) ◽  
pp. 202-213 ◽  
Author(s):  
R. Schassberger
Keyword(s):  
Residence Time ◽  
Discrete Time ◽  
Round Robin ◽  
Processor Sharing ◽  
New Approach ◽  
Approximating Sequence ◽  
Residence Time Distributions

The M/G/1 processor-sharing queue is studied by way of an approximating sequence of models featuring a round-robin discipline and operating in discrete time. In particular, residence-time distributions of jobs are derived.

scholarly journals A discrete-time queueing system with changes in the vacation times

2016 ◽  
Vol 26 (2) ◽  
pp. 379-390 ◽  
Author(s):  
Ivan Atencia
Keyword(s):  
Performance Measures ◽  
Discrete Time ◽  
Busy Period ◽  
Queueing System ◽  
Probability Generating Function ◽  
Service Discipline ◽  
Numerical Examples ◽  
Extensive Analysis ◽  
The One ◽  
Steady State Performance

Abstract This paper considers a discrete-time queueing system in which an arriving customer can decide to follow a last come first served (LCFS) service discipline or to become a negative customer that eliminates the one at service, if any. After service completion, the server can opt for a vacation time or it can remain on duty. Changes in the vacation times as well as their associated distribution are thoroughly studied. An extensive analysis of the system is carried out and, using a probability generating function approach, steady-state performance measures such as the first moments of the busy period of the queue content and of customers delay are obtained. Finally, some numerical examples to show the influence of the parameters on several performance characteristics are given.

Periodic discrete-time one-channel GI/G/1 retrial queuing system with FCFS service discipline

2013 ◽  
Vol 49 (4) ◽  
pp. 578-583
Author(s):  
I. N. Kovalenko ◽  
E. V. Koba ◽  
O. N. Dyshliuk
Keyword(s):  
Discrete Time ◽  
Queuing System ◽  
Service Discipline
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