A finite population model and product-form approximation for cellular mobile systems with traveling users

A finite population model and product-form approximation for cellular mobile systems with traveling users

0.00 Avg rating0 Votes
Article ID: iaor20083861
Country: Japan
Volume: 50
Issue: 4
Start Page Number: 404
End Page Number: 427
Publication Date: Dec 2007
Journal: Journal of the Operations Research Society of Japan
Authors: , ,
Keywords: markov processes, queues: theory, stochastic processes
Abstract:

We propose a new finite population model for cellular mobile systems with traveling users. In this model, mobile users arrive according to a Poisson process from outside the system, independently travel in the system, and leave the system in due time. A mobile user is either in call (active) or out of call (inactive). We find that if two minor modifications are made to the model, the joint distribution of the number of calls in progress in each cell has the product form. Making the two modifications is referred to as product-form approximation in this paper. Under the product-form approximation, the probability that channels are fully occupied in a cell is given by the Erlang-loss formula. We evaluate the accuracy of the product-form approximation through several simulation experiments, and find that the Erlang-loss formula remains applicable to the performance evaluation and channel provisioning of cellular mobile systems.

Reviews

Required fields are marked *. Your email address will not be published.