We would like to simulate the mobility and handoff in cellular networks for case 4 described in…

We would like to simulate the mobility and handoff in cellular networks for case 4 described in this chapter. Assume 25 mph ≤ k ≤ 45 mph within city and 45 mph ≤ k ≤ 75 mph for highway. Let db. be the distance a vehicle takes to reach a cell boundary, ranging from −10 miles to 10 miles.

(a) Plot the probability of reaching a cell boundary for which a handoff is required. Discuss why the probability of reaching a boundary decreases in an exponential manner.

(b) Show that the probability of reaching a cell boundary for a vehicle that has a call-in progress is dependent on db.

(c) Show the probabilities of reaching a cell boundary as a function of a vehicle’s speed.

 (d) Discuss why the probability of reaching a cell boundary is proportional to the vehicle’s speed.