tially, on are estimated to arrive at this experimental lane at the rate of 800 per hour. It will take exactly 2.5 seconds to veri a. How much time would you expect a customer to wait in line, pay with a debit card, and leave? Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place. Average total time seconds b. How many cars would you expect to see in the system? Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places. Average number in system cars
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- A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls.Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane atthe rate of 750 per hour. It will take exactly four seconds to verify the debit card.a. In how much time would you expect the customer to wait in line, pay with the debitcard, and leave?b. How many cars would you expect to see in the system?A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly four seconds to verify the debit card. How much time would you expect a customer to wait in line, pay with a debit card, and leave? Note: Do not round intermediate calculations. How many cars would you expect to see in the system? Note: Round your answer to 2 decimal places.A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 600 per hour. It will take exactly 4.5 seconds to verify the debit card. a. How much time would you expect a customer to wait in line, pay with a debit card, and leave? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) b. How many cars would you expect to see in the system? (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)
- A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at a rate of 750 per hour. It will take exactly four seconds to verify the debit card. (Answers in Appendix D)a. In how much time would you expect the customer to wait in line, pay with the debit card, and leave?b. How many cars would you expect to see in the system?Why does queuing theory emphasise the steady-state condition too much?When is a Queuing system considered to be in a temporary state?
- A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly 3.0 seconds to verify the debit card.a. How much time would you expect a customer to wait in line, pay with a debit card, and leave? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) b. How many cars would you expect to see in the system? (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.)is queuing theory Five drilling machines at Al Hamriya steel is maintained by Lumina maintenance service with 2 service Engineers. The drilling machines require Maintenance at the of 20 per hour. The engineers fix machine in 2.4 mins every time it goes out of service: 1. What is the probability that no drilling machine needs service ?Vehicles on a highway arrive at a security checkpoint at a Poisson rate of 20 per hour. At the checkpoint, vehicles are inspected by a single security guard. The security guard can inspect vehicles at an exponential rate of 50 per hour. a. Find the probability that an incoming vehicle must wait in a security line. b. What is the average number of vehicles at the checkpoint? c. What is the average amount of time spent at the checkpoint?
- The state operates a weigh station for trucks traveling on the highway. Every truck must pull off the highway, enter the weigh station, and undergo state inspection procedures before counting on. Trucks arrive at this station at a poisson rate of seven per hour. The time to inspect/weigh a truck varies, having an exponential probability density with a mean of 7 minutes.A. How many trucks are detained at the station on the average? B. How long can a truck expect to be detained?C. How many trucks are lined up in front of the station on the average?D. How long on the average does a truck driver have to wait in line for the truck to beinspected?The vehicles are entering the parking area of the a mall.There is only one ticket line to get and pay a parkingticket. Each ticket purchase takes an average of 18seconds. The average arrival rate is 3 vehicles/minute.Find the average length of queue, average waiting timein queue and average time spent by the vehicles in thesystem assuming M/M/1 queuing.At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can inspect vehicles at the rate of 16 per hour in an exponentially distributed fashion. a. What is the average length of the waiting line? (Round your answer to 2 decimal places.) b. What is the average total time it takes for a vehicle to get through the system? (Round your answer to 2 decimal places.) c. What is the utilization of the inspector? (Round your answer to 1 decimal place.) d. What is the probability that when you arrive there will be three or more vehicles ahead of you? (Round your answer to 1 decimal place.)