Question 5Gorsuch Law Firm has two paralegals.Customers arrive randomly at an averagerate of 8 customers per hour and astandard deviation in interarrival times of5 minutes. Service times have a mean of8 minutes and a standard deviation of 10minutes. What is the total time acustomer spends in the system?O 7.5 minutes11.5 minutes3.5 minutes83%

Queuing theory Is about the mathematical study of of waiting lines, or queues. Variability can…

Answered: Gorsuch Law Firm has two paralegals.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Please do not give solution in image formate thanku. A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Required: (g) Assume that the information desk employee earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day.
Describe two examples of unethical behavior related to waiting line management, and state whichethical principles they violate.
A call centre operates with two customer service representatives. Customers call the centre according to a Poisson process with an average rate of 10 calls per hour. The service times follow an exponential distribution with a mean service rate of 6 calls per hour per representative. The goal is to analyse the performance of this queuing system and determine key metrics.
An ofi ce employs several clerks who create documents and one operator who entersthe document information in a computer system. The group creates documents at a rateof 25 per hour. The operator can enter the information with an average exponentiallydistributed time of two minutes. Assume the population is ini nite, arrivals are Poisson,and queue length is ini nite with FCFS discipline.a. Calculate the percentage utilization of the operator.b. Calculate the average number of documents in the system.c. Calculate the average time in the system.d. Calculate the probability of four or more documents being in the system.e. If another clerk were added, the document origination rate would increase to 30 perhour. What would the expected average number of documents in the system become?Show why.
1
1. The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. a.) What is the service rate? (please include units) b.) What is the arrival rate? (please include units)
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 33 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 compare with the two-server…
Give and explain briefly that in what kinds of situations is queuing analysis is most appropriate.
Discuss how the design of a waiting system can negatively affect customers?
One field representative services five customers for a computer manufacturer. Customers request assistance at an average (Poisson-distributed) rate of once every four working days. The field representative can handle an average (Poisson-distributed) of one call per day. Determine: Use Table 1. a. The expected number of customers waiting. (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) Please answer part C
Many banks and post offices have switched from having a line at each teller or clerk to a single waiting line cordoned off by a set of ropes or chains. Examine this change by considering the following two cases: A. Case 1. Customers arrive at a bank at an average rate of 80 per hour and form a single line. There are five tellers, and the average service time is 3.0 minutes for each teller. Assuming exponential interarrival and service times, how long is the average wait in line? B. Case 2. Customers arrive at a teller's window at a rate of 16 per hour. There are five tellers so that the total arrival rate is 80 per hour. There is separate line at each window (with no switching between lines). As in Case 1, the average service time for each teller is 3.0 minutes. How long is the average wait in line? C. Comment on the results of Cases 1 and 2. What additional factors might affect waiting times in a real banking situation?
Describe the important operating characteristics of a queuing system. Be sure to provide examples to illustrate your understanding of these concepts.

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