Time-varying many-server finite-queues in tandem: Comparing blocking mechanisms via fluid models

2018 ◽  
Vol 46 (5) ◽  
pp. 492-499 ◽  
Author(s):  
Noa Zychlinski ◽  
Petar Momčilović ◽  
Avishai Mandelbaum
2018 ◽  
Vol 89 (1-2) ◽  
pp. 15-47 ◽  
Author(s):  
Noa Zychlinski ◽  
Avishai Mandelbaum ◽  
Petar Momčilović

2018 ◽  
Vol 33 (3) ◽  
pp. 417-437 ◽  
Author(s):  
Zhenghua Long ◽  
Jiheng Zhang

We extend the measure-valued fluid model, which tracks residuals of patience and service times, to allow for time-varying arrivals. The fluid model can be characterized by a one-dimensional convolution equation involving both the patience and service time distributions. We also make an interesting connection to the measure-valued fluid model tracking the elapsed waiting and service times. Our analysis shows that the two fluid models are actually characterized by the same one-dimensional convolution equation.


2010 ◽  
Author(s):  
Tamar H. Gollan ◽  
Victor S. Ferreira ◽  
Cynthia Cera ◽  
Susanna Flett

2016 ◽  
Author(s):  
Felix Schindler ◽  
Bertram Steininger ◽  
Tim Kroencke

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