Controllable M/M/2 machine repair problem with multiple working vacations and triadic (0,Q,N,M) policy

2021 ◽  
pp. 1-13
Author(s):  
Teketel Ketema ◽  
Seleshi Demie ◽  
Melisew Tefera Belachew
Keyword(s):  
Machine Repair ◽  
Multiple Working Vacations ◽  
Working Vacations

scholarly journals GEOM/GEOM[a]/1/ queue with late arrival system with delayed access and delayed multiple working vacations

2014 ◽  
Vol 24 (1) ◽  
pp. 127-143 ◽  
Author(s):  
Jiang Cheng ◽  
Yinghui Tang ◽  
Miaomiao Yu
Keyword(s):  
Queue Length ◽  
Probability Generating Function ◽  
Operator Method ◽  
Analysis Method ◽  
Idle Period ◽  
Arrival Times ◽  
Late Arrival ◽  
Multiple Working Vacations ◽  
Bulk Service ◽  
Working Vacations

This paper considers a discrete-time bulk-service queue with infinite buffer space and delay multiple working vacations. Considering a late arrival system with delayed access (LAS-AD), it is assumed that the inter-arrival times, service times, vacation times are all geometrically distributed. The server does not take a vacation immediately at service complete epoch but keeps idle period. According to a bulk-service rule, at least one customer is needed to start a service with a maximum serving capacity 'a'. Using probability analysis method and displacement operator method, the queue length and the probability generating function of waiting time at pre-arrival epochs are obtained. Furthermore, the outside observer?s observation epoch queue length distributions are given. Finally, computational examples with numerical results in the form of graphs and tables are discussed.

scholarly journals An M/G/1 Retrial Queueing System with Phase Type Services and Working Vacations

2018 ◽  
Vol 7 (4.10) ◽  
pp. 758
Author(s):  
P. Rajadurai ◽  
R. Santhoshi ◽  
G. Pavithra ◽  
S. Usharani ◽  
S. B. Shylaja
Keyword(s):  
Queueing System ◽  
Retrial Queue ◽  
Probability Generating Function ◽  
Retrial Queueing System ◽  
Retrial Queueing ◽  
Multiple Working Vacations ◽  
Phase Type ◽  
Working Vacations ◽  
Multi Phase ◽  
Number Of Customers

A multi phase retrial queue with optional re-service and multiple working vacations is considered. The Probability Generating Function (PGF) of number of customers in the system is obtained by supplementary variable technique. Various system performance measures are discussed. 

Analysis of G-Queue with Pseudo-Fault and Multiple Working Vacations

2020 ◽  
Vol 33 (4) ◽  
pp. 1144-1162
Author(s):  
Zhanyou Ma ◽  
Li Chen ◽  
Pengcheng Wang
Keyword(s):  
Multiple Working Vacations ◽  
Working Vacations

The Geo/G/1 Queue with Disasters and Multiple Working Vacations

2007 ◽  
Vol 23 (4) ◽  
pp. 537-549 ◽  
Author(s):  
Xeung Won Yi ◽  
Jin Dong Kim ◽  
Dae Won Choi ◽  
Kyung Chul Chae
Keyword(s):  
Multiple Working Vacations ◽  
Working Vacations
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