Chapter 13, Problem 8QP

Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is six trucks per hour. Use the Single Server QueueExcel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places.   What is the probability that the truck dock will be idle?   What is the average number of trucks in the queue?  truck(s) What is the average number of trucks in the system?  truck(s) What is the average time a truck spends in the queue waiting for service?  hour(s) What is the average time a truck spends in the system?  hour(s) What is the probability that an arriving truck will have to wait?   What is the probability that more than two trucks are waiting for service?

Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is five trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle?   What is the average number of trucks in the queue?   truck(s) What is the average number of trucks in the system?   truck(s) What is the average time a truck spends in the queue waiting for service?   hour(s) What is the average time a truck spends in the system?   hour(s) What is the probability that an arriving truck will have to wait?   What is the probability that more than two trucks are waiting for service?

In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.)  What is the expected waiting time in the system (W)? (Express the waiting time in hours, round your answer to 3 decimal places.) What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) What is the expected waiting time in the queue(Wq)? (Express the waiting time in hours, round your answer to 3 decimal places.)

Please do not give solution in image format thanku A bank has an average of 10 customers per hour arriving into the system, and it takes an average of 30 minutes for the clerk to complete a transaction with a customer. What is the average length of the queue in the bank? And A store open 24 hours per day is interested in determining store traffic. It found that customers arrive uniformly at the rate of 10 customers per hour. The store has a single worker to process customers. The worker takes an average of 5 minutes to process a customer. If we assume that every customer must be processed, what is the average number of customers in the store?

Consider a base case where a customer arrives every 40 seconds and the Customer Service Champion can handle 120 customers per hour. There are two Food Champions, each capable of handling 100 orders per hour How long should it take to be served by the restaurant (from the time a customer enters the kiosk queue until her food is delivered)? Use queuing models to estimate this.

A server operates with 80 % utilization. Coefficient of variation of service process is 0.5. Coefficient of variation of arrival process is 0.9. Average processing fime is 3 minutes. What is the average time a customer spends in the system using the single server queueing model 7 Show all formulas used, calculations and results.

Customer interarrival times at a store are exponentially distributed with rate 8 customers per hour. Customers are served by a single customer service representative (CSR), at a rate of 10 customers per hour. Service times are also exponentially distributed. Which of the following statements are true? O The probability of having exactly three customers in the store is 0.128. O None of the answers are correct. The store has customers waiting for a CSR 80.0% of the time. The average number of customers in the store is 3.2. O The average wait time for the CSR is 24 minutes.

Customers enter the camera department of a store at an average rate of six per hour. The department is staffed by one employee, who takes an average of six minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. (Use the Excel spreadsheet Queue Models.) a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? Note: Round your answer to 2 decimal places.   a-2. How long would a customer expect to spend in the camera department (total time)? Note: Do not round intermediate calculations. Round your answer to the nearest whole number.   b. What is the utilization of the clerk? Note: Do not round intermediate calculations. Round your answer to the nearest whole number.   c. What is the probability that there are more than two people in the camera department (excluding the clerk)? Note: Round your intermediate calculations to 3 decimal places and final answer to 1…

In an M/MA queueing system, the arrival rate is 5 customers per hour and the service rate is 9 customers per hour. If the service process is automated (resulting in no varlation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) a. What is the utilization? Ubization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected walting time (in hours) for the system (W? Waiting timetin nours)