Affiliations: Maryland Center for Telecommunications Research and Department of Computer Science and Electrical Engineering, University of Maryland Baltimore County, Baltimore, MD 21228, USA | Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL 60208, USA
Note: [] This research was supported in part by the Maryland Center for Telecommunications Research (MCTR) at the University of Maryland Baltimore County with funds received from IBM, Sprint, SUN Microsystems and DoD. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of any sponsor of MCTR.
Abstract: We consider the problem of assigning a single channel in a linear cellular array, and compare the call blocking probabilities for dynamic and fixed channel assignment (DCA and FCA). Our principal concern is the derivation of closed-form expressions for these blocking probabilities as a function of the array size and traffic load, assuming a Markov traffic model. The limiting behavior of the blocking probabilities for DCAFCA relative to increasing array size and extreme traffic loads is also discussed. Moreover, it is shown that there is a unique cross-over traffic load such that DCA has a lower blocking probability than FCA for traffic loads less than the cross-over load, and vice versa.
