Waiting time of handoff calls for the wireless mobile networks with dependent calls arrival processes and impatient calls

This paper studies the quasi-waiting time, the actual waiting time of the handoff calls in the buffer and the actual call holding times of new calls for the mobile wireless networks, in which the new calls arrival processes may depend on the number of calls in the target cells and the handoff calls arrival processes from the given cell to the target cell are modeled to be dependent on the number of calls in the given cells. In particular, the caller in the buffer waiting for further communication may become impatient. We propose an analytical model and obtain the expressions of the quasi and actual waiting time of a handoff call in the buffer, and prove that the actual call holding time of a new call is exponential. Some special cases of our model used in previous traffic models of wireless and/or wireline communications are discussed. The results presented in this paper may provide guidelines for field data processing on updated wireless mobile network design and performance evaluation