On the total amount of resources occupied by serviced customers

We consider a model of a multi-server queueing system with losses caused by lack of resources necessary to service claims. A claim accepted for servicing occupies a random amount of resources of several types with given distribution functions. Random vectors that define the requirements of claims for resources are independent of the processes of customer arrivals and servicing, mutually independent, and identically distributed. Under the assumptions of a Poisson arrival process and exponential service times, we analytically find the joint distribution of the number of customers in the system and the vector of amounts of resources occupied by them. We show sample computations that illustrate an application of the model to analyzing the characteristics of a videoconferencing service in an LTE wireless network. © 2016, Pleiades Publishing, Ltd.

Publisher
Maik Nauka Publishing / Springer SBM
Number of issue
8
Language
English
Pages
1419-1427
Status
Published
Volume
77
Year
2016
Organizations
  • 1 Service Innovation Research Institute, Helsinki, Finland
  • 2 RUDN University, Moscow, Russian Federation
Keywords
Distribution functions; Network architecture; Poisson distribution; Video conferencing; Wireless telecommunication systems; Customer arrivals; Joint distributions; Multi-server; Mutually independents; Poisson arrival process; Queueing system; Random vectors; Service time; Sales
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3858/
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