On the (MAP1, MAP2)/(PH1, PH2)/N1+N2 retrial queue of wireless cellular networks with channel allocation

Authors:
Zonghao Zhou;Yijuan Zhu
Affiliations:
Jiangsu University, Jiangsu, China;Jiangsu University, Jiangsu, China
Venue:
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Year:
2010

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Abstract

We consider that there are infinite positions in the orbit and N channels in the wireless cellular networks. For channel allocation, N1 (0 N1 N) channels (guard channels) are reserved for handoff calls. It is assumed that handoff and new calls have different arrival rate of Markov Arrival Process (MAP), and their channel holding time distributions are different Phase-type (PH) distributions. Using matrix analytic techniques, we obtain the blocking probability of new calls and the dropping probability of handoff calls, the mean queue lengths of two types of calls. We give numerical results to show input of different handoff call arrival rate on performance measures.