In this letter, we derive an algebraic set of equations that examines the r
elationships between the cell residence times and the handoff call's channe
l holding time, When the cell residence times have an Erlang or Hyper-Erlan
g distribution, the channel holding times can be represented by a Coxian mo
del. An algorithm is presented to compute the parameters of the equivalent
Coxian model. The analytical models proposed in this letter provide a flexi
ble framework for further studies into the optimization and performance eva
luation aspects of teletraffic mobile systems.