OPERATIONS MANAGEMENT CUSTOM ACCESS
11th Edition
ISBN: 9780135622438
Author: KRAJEWSKI
Publisher: PEARSON EDUCATION (COLLEGE)
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Question
Chapter B, Problem 4P
A
Summary Introduction
Interpretation: J’s utilization according to queuing method should be calculated.
Concept Introduction: Queuing method is the best practice for enhance the service provided within an organization by utilizing their resources.
B.
Summary Introduction
Interpretation: The average number of machines to be repaired should be calculated.
Concept Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires to wait for service.
C
Summary Introduction
Interpretation: The average time of a machine is out of service should be calculated.
Concept Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires to wait for service.
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Benny's arcade has six video game machines. The average time between machine failures is 50 hours. Jimmy, the maintenance manager can repair a machine in 5 hours on average. The machines have an exponential failure distribution, and Jimmy has an exponential service-time distribution.
a. Jimmy's utilization is?
b. what is the average number of machines out of service, that is, waiting to be repaired or being repaired?
c. what is the average time a machine is out of service?.
Benny’s Arcade has six video game machines. The average time between machine failures is 50 hours. Jimmy, the maintenance engineer, can repair a machine in 15 hours on average. The machines have an exponential failure distribution, and Jimmy has an exponential service-time distribution.a. What is Jimmy’s utilization?b. What is the average number of machines out of service, that is, waiting to be repaired or being repaired?c. What is the average time a machine is out of service?
A copier is able to operate for an average of 200 hours between repairs, and the mean repair time is two hours. Determine the availability of the copier.
Chapter B Solutions
OPERATIONS MANAGEMENT CUSTOM ACCESS
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- A server operates with 90 % utilization. Coefficient of variation of service process is 0.6. Coefficient of variation of arrival process is 0.8. Average processing time is 4 minutes. What is the average time a customer spends in the system using the single server queuing model ? Show all formulas used, calculations and results.arrow_forwardCustomer 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.arrow_forwardIn an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?arrow_forward
- Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crewconsisting of two workers can load a truck in about 30 minutes. Crew members receive $10 perhour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $60. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucksper hour. Assume rates are Poisson.a. Would the third crew member be economical?b. Would a fourth member be justifiable if the resulting service capacity were 2.6 trucks per hour?arrow_forwardA queuing model that follows the M/M/1 assumptions has λ = 2 and μ = 8. The average number in the system Ls is ________ and the utilization of the system is ________.arrow_forwardFor the first four minutes of the day, the arrival rate at the gas station is 50 vehicles per minute. The gas station is capable of serving- 44 vehicles per minute. Assume that the system is empty at the start and that no vehicle who arrives leaves without being served. (Round your answer to 2 decimal places.) What is the average wait time for vehicles during this time period (in minutes)? minutearrow_forward
- Magic, Inc. has four units of equipment that are automatic but occasionally become inoperative because of the need for supplies, maintenance, or repair. Each unit runs an average of 30 minutes before needing service. Service times vary; however, the average service time is five minutes. a. What is the average number of units in line? b. What is the average number of units still in operation? c. What is the average number of units being serviced?arrow_forwardIn queuing theory and modeling, if 1/μ represents mean service time. Whatdoes μ represent? Service rateInterarrival time Arrival rate Nonearrow_forwardFor the first three minutes of the day, the arrival rate at the book store is 23 customers per minute. The book store is capable of serving 21 customers per minute. 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 minutes)? minutearrow_forward
- In waiting line management, system performance measures include which of the following: I. an arriving customer will have to wait. II. The average number of customers waiting. III. The average time customers spend in the system. IV The probability that the server is busy. Select one: a. II, III & IV b. I, II & III c. I, II & IV d. I, III & IV convert inputs into outputs; they are at the core of operations management. Select one: a. processes b. decisions C. resources d. products ооооarrow_forwardConsider 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.arrow_forwardIn a queuing model which follows the single server operation has ? = 2 and ? = 8. The evrage number in the system Ls is ____ and the utilization of the system is ____ a. 0.33 ; 25% b. 3 ; 100% c. 6 ; 25% d. 4 ; 33%arrow_forward
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