Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 4.0 per hour. It will take Benny an average of 13 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Average number of customers waiting b. The average time a customer waits. (Round your answer to 2 decimal places.) Average waiting time minutes

Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 4.0 per hour. It will take Benny an average of 13 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Average number of customers waiting b. The average time a customer waits. (Round your answer to 2 decimal places.) Average waiting time minutes

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 4.0 per hour. It will take Benny an average of 12 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Average number of customers waiting b. The average time a customer waits. (Round your answer to 2 decimal places.) Average waiting time minutes
Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 4.0 per hour. It will take Benny an average of 11 minutes to give a haircut. Based on these figures, find the following:a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.) b. The average time a customer waits. (Round your answer to 2 decimal places.) c. The average time a customer is in the shop. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) d. The average utilization of Benny’s time. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.)
92 Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 2.5 per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places. b. The average time a customer waits. Note: Round your answer to 2 decimal places. c. The average time a customer is in the shop. Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.
Ali Baba‘s Car Wash Service Centre is open 6 days a week, but its busiest day isalways on Sunday. From the previous data, Ali Baba estimates that dirty carsarrive at the rate of one every two minutes. One car at a time is cleaned in thisexample of a single-channel waiting line. Assuming Poisson arrivals andexponential service times, find the following: a.Compute the average number of cars in line. b.Calculate the value of probability that there are no car in the system. c.Compute the average time that a car spends in the system.
Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following:a. The average number of customers waiting.b. The average time a customer waits.c. The average time a customer is in the shop.d. The average utilization of Benny’s time.
Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Benny an average of 20 minutes to give a haircut. Based on these figures, find the following: Part (a): The average number of customers waiting. Arrival Time, λ =2 customers per hour Service Time, μ = 20 minute, or 60/20= 3 customer per hour Lq = (2)2 / 3*(3-2) = 1.333 customers Part (b): The average time a customer waits. Wq= 1.333/2=0,665 \~ 0,67 or 40 minutes Part (c): The average time a customer is in the shop. LS = 2/ 3-2 =2 customers. WS = 2/2 = 1 hour Part (d): The average utilization of Benny’s time. P= λ/ μ = 2/3=0,666 percent ~ 0,67 % Benny the Barber (see Question 1) is considering the addition of a second chair. Customers would be selected for a haircut on a FCFS basis from…
* 08 HI FL R %S4 LLI %#3 50 For the first two hours of the day, the arrival rate at the donut shop is 10 customers per hour. The donut shop is capable of serving 8 customers per hour. Assume that the system is empty at the start and that no customer who arrives leaves without being served. (Round your answer to 2 decimal places.) What is the average wait time for customers during this time period (in hours)? unoy nces Mc Graw Wellington Paranormal Stars and Pahkitew Island RESTAURANT Restaurant: Scissor Seven My 600-lb Life The Afterparty Pam & Tommy As We See It 8,425 MAR étv A 644 DD F7 F12 F8 F10 F3 F 4 F5 93 %23 5 delet 9 7. 2. } P. 1 B. W N alt 38 command MOSISO command
13. Suppose AirOM passengers arrive to the check-in desk every 100 seconds (on average). The desk is staffed by a single ticketing agent, who takes 1.4 minutes (on average) to process a passenger. The arrivals follow a Poisson process and the service time is distributed exponentially. What is a passenger’s average waiting time (in seconds)? Enter a single number as your answer. If your final number is not integer, keep two decimal places in your answer.
Using the Queuing Theory principles, a) List Lq, and Wq for all of the stations in a table b) Determine the performance measure (L,W) of the system. 0.25 S2 S4 0.6 Hz=15 H4=13 2=15 S1 S5 H=20 0.9 Hs=15 S3 H3=8
One field representative services 5 customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every 3.1 working days. The field representative can handle an average (Poisson-distributed) of 1.0 call per day. Determine: Use Table 1. a. The expected number of customers waiting. (Round "X" value to 2 decimal places. Round your answer to 3 decimal places.) Expected number of customers waiting b. The average length of time customers must wait from the initial request for service until the service has been completed. (Round your answer to 2 decimal places.) Average length of time days c. The percentage of time the service rep will be idle. (Round your answer to 1 decimal place.) Percentage of Idle time d. By how much would your answer to part a be reduced if a second field rep were added? (Round your answer to 3 decimal places.) Reduced number of customer(s)
Describe the behavior of a waiting line where lambda > mu . Use both analysis and intuition.