tandem queues
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SIMULATION ◽  
2021 ◽  
Vol 97 (12) ◽  
pp. 849-866
Author(s):  
Anne Buijsrogge ◽  
Pieter-Tjerk de Boer ◽  
Werner R W Scheinhardt

We consider importance sampling simulation for estimating the probability of reaching large total number of customers in an [Formula: see text] tandem queue, during a busy cycle of the system. Our main result is a procedure for obtaining a family of asymptotically efficient changes of measure based on subsolutions. We explicitly show these families for two-node tandem queues and we find that there exist more asymptotically efficient changes of measure based on subsolutions than currently available in literature.


2019 ◽  
Vol 135 ◽  
pp. 102011
Author(s):  
Jianfu Wang ◽  
Hossein Abouee-Mehrizi ◽  
Opher Baron ◽  
Oded Berman

This project intends a general procedure to obtain the membership function of the performance measures in three stage tandem queues when the inter-arrival time and service time are in fuzzy. The basic idea is to diminish the crisp queue into fuzzy by applying the α-cut approach technique. A pair of parametric program is formulated to depict that family of crisp queue in which the membership functions of the system performance are acquired.


2019 ◽  
Vol 93 (1-2) ◽  
pp. 31-65
Author(s):  
Anne Buijsrogge ◽  
Pieter-Tjerk de Boer ◽  
Werner R. W. Scheinhardt

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