Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants are paid $19 per hour and the customer waiting time is valued at $29 per hour for waiting time prior to service, should Agan expand to the two-consultant system? No What is the total cost for each scenario? Round your answers to the nearest cent. The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $ fill in the blank 2 . The total cost for the second scenario where there are two consultants with an average service time of 10 minutes per customer is $ fill in the blank 3

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.7 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants are paid $19 per hour and the customer waiting time is valued at $29 per hour for waiting time prior to service, should Agan expand to the two-consultant system? No What is the total cost for each scenario? Round your answers to the nearest cent. The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $ fill in the blank 2 . The total cost for the second scenario where there are two consultants with an average service time of 10 minutes per customer is $ fill in the blank 3

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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Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.1 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. Agan's management would like to evaluate two alternatives: Use one consultant with an average service time of 8 minutes per customer. Expand to two consultants, each of whom has an average service time of 10 minutes per customer. If the consultants are paid $18 per hour and the customer waiting time is valued at $26 per hour for waiting time prior to service, should Agan expand to the two-consultant system? - No What is the total cost for each scenario? Round your answers to the nearest cent. The total cost for the first scenario where there is one consultant with an average service time of 8 minutes per customer is $____________. The total cost for the second scenario where there are two consultants with an average service time of 10…
The manager of a park hotel is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks on duty, each with a separate waiting line, during the peak check-in time of 3:00 p.m. to 5:00 p.m. Observation of arrivals during this time shows that an average of 90 guests arrive each hour (although there is no upward limit on the number that could arrive at any given time). It takes an average of 3 minutes for each front-desk clerk to register each guest. The manager is considering three plans for improving guest service by reducing the length of time guests spend waiting in line. The first proposal would designate one employee as a quick service clerk for guests registering under corporate accounts, a market segment that fills about 30% of all occupied rooms. Because corporate guests are preregistered, their registration takes just 2 minutes. With these guests separated from the rest of the clientele,…
The manager of a park hotel is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks on duty, each with a separate waiting line, during the peak check-in time of 3:00 p.m. to 5:00 p.m. Observation of arrivals during this time shows that an average of 90 guests arrive each hour (although there is no upward limit on the number that could arrive at any given time). It takes an average of 3 minutes for each front-desk clerk to register each guest. The manager is considering three plans for improving guest service by reducing the length of time guests spend waiting in line. The first proposal would designate one employee as a quick service clerk for guests registering under corporate accounts, a market segment that fills about 30% of all occupied rooms. Because corporate guests are preregistered, their registration takes just 2 minutes. With these guests separated from the rest of the clientele,…
State University has decided to increase the number of computer assignments in its curriculum and is concerned about the impact onthe help desk. Instead of a single person working at the help desk, the university is considering a plan to have three identical serviceproviders. It expects that students will arrive at a rate of 45 per hour, according to a Poisson distribution. The service rate for each ofthe three servers is 18 students per hour, with exponential service times. Calculate the following operating characteristics of the servicesystem:(a) Th e average utilization of the help desk(b) Th e probability that there are no students in the system(c) Th e average number of students waiting in line(d) Th e average time a student spends waiting in line(e) Th e average time a student spends in the system(f) Th e average number of students in the system
Melanie is the manager of the Clean Machine car washand has gathered the following information. Customers arriveat a rate of eight per hour according to a Poisson distribution.Th e car washer can service an average of ten cars per hour withservice times described by an exponential distribution. Melanie isconcerned about the number of customers waiting in line. She hasasked you to calculate the following system characteristics:(a) Average system utilization(b) Average number of customers in the system(c) Average number of customers waiting in line
A student arrive in a photocopy service. There is only one photocopy operator, and the time required for inquiry varies from student to student. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. What is the average service time for this problem? Select one: a. 2.28 minutes b. 4.35 minutes c. 3 minutes d. 1 minute
In the library, students arrive randomly at the help desk, which is staffed by 4 employees (all of them answer inquiries from students). The time required for inquiry varies from student to student. Arrivals have been found to follow a Poisson process (i.e., exponentially distributed inter-arrival times), and the service times follow an exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 13 students per hour. What is the utilization of the help desk? Note: 1. Provide your answer as a percentage, but do not include the % mark. 2. Keep two decimal places. For example, if your result is 35.126%, enter 35.13.
A bank has 1 enquiries staff and six tellers. Customers enter the system and walk up to the enquires counter for the enquiries queue or they go to the tellers station where they join a single queue for the 6 tellers.The arrival rate at the enquiry counter, lambda 8 customers per hour and the service rate at the enquiry counter, Mu 6 minutes per customer. The arrival rate at the tellers’stations, lambda 10 clients per hour and the service rate at the tellerstations, Mu 4 minutes per client. Find the total time customers spend at the bank
United Raiders Drive-In Market has one checkout counter where one employee operates the cash register. The combination of the cash resister and the operator is the server in this queuing system; the customers who line up at the counter to pay their selections form the waiting line. Customers arrive at a rate of 24 per hour according to a Poisson distribution, and service times are on average equal to 2 minutes per customer. What is the number of customers waiting in the queue on average?
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…
The local Burger Doodle fast-food restaurant has a drive-through window. Customers in cars arriveat the window at the rate of 10 per hour (Poisson distributed). It requires an average of4 minutes (exponentially distributed) to take and fill an order. The restaurant chain has a servicegoal of an average waiting time of 3 minutes. If the restaurant is not meeting its service goal, it can add a second drive-through window that will reduce the service time per customer to 2.5 minutes. Will the additional window enable the restaurant to meet its service goal?
Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to nine. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.06 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.5 machines per hour. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 1 Lq = fill in the blank 2 L = fill in the blank 3 Wq = fill in the blank 4 hours W = fill in the blank 5 hours Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 6 Lq = fill in the blank 7 L = fill in the blank 8 Wq = fill…