Trucks are required to pass through a weighing station so that they can be checked for weight violations by an inspector. Trucks arrive at the station according to a Poisson distribution at the rate of one every 1.5 minutes on average. Currently there are two inspectors on duty, each of whom takes 2.4 minutes to inspect a truck on average. The time to inspect a truck can be assumed to be Exponential. If a truck was just arriving at the station, about how many minutes could the driver expect to be at the station (including the time waiting to be weighed and getting weighed)?

Here are all the formulas we have been taught and used in class: total cost ($/hr): cost of costumers waiting + cost of capacity

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System utilization: demand 30/4. P = 1,2,3. where arrival rate, service rate of each server, M number of servers Total capacity Basic relationships: waiting length, of quene 501hr r = 1 - La = Wa Ls = Lq +r Ls = Ws Ws = length J System waiting time in system Unity: Customers/ perple W + 1 - waiting time in quene units: See/hr/min FOSTER SCHOOL OF System utilization: demand 30/4. P = 1,2,3. where arrival rate, service rate of each server, M number of servers Total capacity Basic relationships: waiting length, of quene 501hr r = 1 - La = Wa Ls = Lq +r Ls = Ws Ws = length J System waiting time in system Unity: Customers/ perple W + 1 - waiting time in quene units: See/hr/min FOSTER SCHOOL OF