A Queueing Model of a Multi-Service System with State-Dependent Distribution of Resources for Each Class of Calls

2014 ◽  
Vol E97.B (8) ◽  
pp. 1592-1605 ◽  
Author(s):  
Slawomir HANCZEWSKI ◽  
Maciej STASIAK ◽  
Joanna WEISSENBERG
2018 ◽  
Vol 13 (1) ◽  
pp. 60-68
Author(s):  
Sushil Ghimire ◽  
Gyan Bahadur Thapa ◽  
Ram Prasad Ghimire

 Providing service immediately after the arrival is rarely been used in practice. But there are some situations for which servers are more than the arrivals and no one has to wait to get served. In this model, arrival rate is


2014 ◽  
Vol 21 (1) ◽  
pp. 84 ◽  
Author(s):  
A.V.S. Suhasini ◽  
K. Srinivasa Rao ◽  
P. Rajasekhara Reddy

2007 ◽  
Vol 39 (04) ◽  
pp. 898-921 ◽  
Author(s):  
Idriss Maoui ◽  
Hayriye Ayhan ◽  
Robert D. Foley

We study a service facility modeled as a queueing system with finite or infinite capacity. Arriving customers enter if there is room in the facility and if they are willing to pay the price posted by the service provider. Customers belong to one of a finite number of classes that have different willingnesses-to-pay. Moreover, there is a penalty for congestion in the facility in the form of state-dependent holding costs. The service provider may advertise class-specific prices that may fluctuate over time. We show the existence of a unique optimal stationary pricing policy in a continuous and unbounded action space that maximizes the long-run average profit per unit time. We determine an expression for this policy under certain conditions. We also analyze the structure and the properties of this policy.


2018 ◽  
Vol 147 ◽  
pp. 146-161 ◽  
Author(s):  
Sławomir Hanczewski ◽  
Maciej Stasiak ◽  
Joanna Weissenberg

2014 ◽  
Vol 79 (1) ◽  
pp. 53-85 ◽  
Author(s):  
Jianzhe Luo ◽  
Vidyadhar G. Kulkarni ◽  
Serhan Ziya

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