Fuzzy Analysis of Batch Arrival Priority Queueing System with Balking

2020 ◽  
pp. 127-144
Author(s):  
Anamika Jain ◽  
Sonali Thakur ◽  
Bhoopendra Pachauri ◽  
Madhu Jain
Keyword(s):  
Queueing System ◽  
Batch Arrival ◽  
Fuzzy Analysis ◽  
Priority Queueing

A limit theorem for priority queues in heavy traffic

1973 ◽  
Vol 10 (04) ◽  
pp. 907-912 ◽  
Author(s):  
J. Michael Harrison
Keyword(s):  
Limit Theorem ◽  
Queueing System ◽  
Heavy Traffic ◽  
Critical Value ◽  
Single Server ◽  
Traffic Condition ◽  
Transient Distribution ◽  
Virtual Waiting Time ◽  
Waiting Time Process ◽  
Priority Queueing

A single server, two priority queueing system is studied under the heavy traffic condition where the system traffic intensity is either at or near its critical value. An approximation is developed for the transient distribution of the low priority customers' virtual waiting time process. This result is stated formally as a limit theorem involving a sequence of systems whose traffic intensities approach the critical value.

Transient Analysis of a Non-Preemptive Priority Queueing System

2018 ◽  
Vol 12 (3) ◽  
pp. 645-654
Author(s):  
V. S. S. Yadavalli ◽  
Diatha Krishna Sundar ◽  
Swaminathan Udayabaskaran ◽  
C. T. Dora Pravina
Keyword(s):  
Transient Analysis ◽  
Queueing System ◽  
Preemptive Priority ◽  
Priority Queueing

A model of task-deletion mechanism based on the priority queueing system of Barabási

2017 ◽  
Vol 466 ◽  
pp. 415-421
Author(s):  
Bin Zhou ◽  
Jia-Rong Xie ◽  
Xiao-Yong Yan ◽  
Nianxin Wang ◽  
Bing-Hong Wang
Keyword(s):  
Queueing System ◽  
Priority Queueing

A limit theorem for priority queues in heavy traffic

1973 ◽  
Vol 10 (4) ◽  
pp. 907-912 ◽  
Author(s):  
J. Michael Harrison
Keyword(s):  
Limit Theorem ◽  
Queueing System ◽  
Heavy Traffic ◽  
Critical Value ◽  
Single Server ◽  
Traffic Condition ◽  
Transient Distribution ◽  
Virtual Waiting Time ◽  
Waiting Time Process ◽  
Priority Queueing

A single server, two priority queueing system is studied under the heavy traffic condition where the system traffic intensity is either at or near its critical value. An approximation is developed for the transient distribution of the low priority customers' virtual waiting time process. This result is stated formally as a limit theorem involving a sequence of systems whose traffic intensities approach the critical value.

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