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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.