Experience the Tour de France (ETF) is a specialty travel agent. They arrange va

Question

Experience the Tour de France (ETF) is a specialty travel agent. They arrange vacations for amateur cyclists who want to experience the Tour de France by riding through one or more stages in the race. They have 4 people who take calls from clients. Each call lasts on average 20 minutes with a standard deviation of 40 minutes. A call arrives on average every 25 minutes with a standard deviation of 25 minutes. (Round your answer to 2 decimal places.) On average, how many minutes does a caller wait before talking to an agent? minutes Experience the Tour de France (ETF) is a specialty travel agent. They arrange vacations for amateur cyclists who want to experience the Tour de France by riding through one or more stages in the race. They have 4 people who take calls from clients. Each call lasts on average 20 minutes with a standard deviation of 40 minutes. A call arrives on average every 25 minutes with a standard deviation of 25 minutes. (Round your answer to 2 decimal places.) On average, how many minutes does a caller wait before talking to an agent? minutes

Explanation / Answer

Xa Mean Inter arrival time 20 mins Xs Mean service time 25 mins Sa Std deviation of Inter arrival time 40 mins Ss Std deviation of service time 25 mins S No of servers 4 Ca Coefficient of variation of inter arrival time 0.5 (Xa/Sa) Cs Coefficient of variation of service time 1 (Xs/Ss) l Customer arrival rate 0.05 (1/Xa) u Customer service rate 0.04 (1/Xs) p Server utilization 0.3125 (l/(s*u) Lq Average no in the queue 0.02 (p^(sqrt(2*S+1)/(1-p)*(Ca^2+Cs^2)/2 Ls Average no in the system 1.272971 Lq+l/u Average time waiting in the queue 0.46 mins Lq/l Average time waiting in the system 25.46 mins   Ls/l

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