THIS IS FOR REVISION PURPOSES. NOT GRADED Requireda) Compute the midpoints for arrival and service times and apply it to construct theappropriate random number mappings for the random variables starting from 00. (3marks)b) Simulate 15 customers arriving at the using the random numbers given below. (12marks)c) What is the average time a customer waits for service? (1 mark)d) What is the average time a customer is in the system (wait plus service time) (2 marks)e) What is the percent of time the clerk is busy with customers? (2 marks)Hint (midpoint for 60 to under 90= (60+90)/2=75 sec)CustomerInterarrival timeService TimeRandom Numbers To Be Used in the Simulation12 3 4 5 6 7 8 9 10 11 12 13 14 150.08 0.87 0.15 0.04 0.52 0.46 0.96 0.1 0.02 0.76 0.32 0.1 0.62 0.25 0.90.72 0.46 0.96.00 0.27 0.73 0.76 0.25 0.11 0.47 0.28 0.83 0.52 0.39 0.68Use the following headings to complete the simulationTimeBetweenCustomer RNArrivalsWaitfor RN ServiceTimeinEndTime Service SystemArrival BeginTime Service service Question 3 APassengers arriving at a suburban rail ticket office during the morning peak commuter periodfrequently have to wait for service. There is one clerk who issues tickets and provides aninformation service for passengers. The manager has received complaints regarding the timepassengers spend in the queue waiting to be served, and she wishes to investigate possible methodsof reducing the queueing time. Possible ideas include employing a second ticket clerk who couldeither share the work of the existing clerk or perhaps handle enquiries only. Another idea may beto collect fares on the train. The manager decided to collect data on arrivals and service times overa number of days, and her figures are summarizedInter-arrival time(secs)0 to under 3030 to under 6060 to under 9090 to under 120Frequency(%)5530105Service time(secs)20 to under 3030 to under 4040 to under 5050 to under 6060 to under 90Frequency(%)1728252010

The given information is as follows:Interval Arrival TimeFrequency0-305530-603060-901090-1205Service…

Answered: Required a) Compute the midpoints for…

Understanding Business

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

Section: Chapter Questions

Problem 1CE

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Explain Structure of Waiting-Line Problems?
no handwritten solution Question The management of a busy petrol station is concerned that customers are being lost because of long waiting times sometimes required at their petrol pump. Over a two weeks period a careful study has been taken of the arrival of cars and the length of time taken to serve customers at the petrol station. The tables below show the arrival rates and the service time distribution: Inter arrival time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <2 1 60 60 00 - 59 2 - <4 3 25 85 60 - 84 4 - <6 5 10 95 85 - 94 6 - <8 7 5 100 95 - 99 Service time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <4 2 20 20 00 – 19 4 - <6 5 30 50 20 – 49 6 - <8 7 20 70 50 - 69 8 - <10 9 15 85 70 – 84…
Suggest 3- 4 ways to reduce queue waiting times in restaurant during covid 19
Question 6 Answer Question 8-10 based on the given information. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 18 customers per hour or 0.3 customers per minute. What is the mean or expected number of customers that will arrive in a ten-minute period? Question 7 Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 1, 2, and 3 customers will arrive during a ten-minute period. Note: The probabilities that exactly 0 customers will arrive during a ten-minute period is calculated for you as 0.0498. (Round your answers to four decimal places.) 1 Question 8 P(x) 0.0498 Delays are expected if more than three customers arrive during any ten-minute period. What is the probability…
Q.2) Partially completed products arrive at a workstation in a manufacturing operation at a mean rate of 40 per hour (Poisson distributed). The processing time at the workstation averages 1.2 minutes per unit (exponentially distributed). The manufacturing company estimates that each unit of in process inventory at the workstation costs $31 per day (on the average). However, the company can add extra employees and reduce the processing time to 0.90 minute per unit at a cost of $52 per day. Determine whether the company should continue the present operation or add extra employees.
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Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 21 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…
Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 45 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…
Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 51 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…
State general trade offs involved in waiting line decisions ?

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