CPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD owns 1 supercomputer that can be accessedthrough the Internet. Their customers send jobs that arrive, on average, every 5 hours. The standard deviation of the interarrival timesis 4 hours. Executing each job takes, on average, 3 hours on the supercomputer and the standard deviation of the processing time is3.5 hours.On average, how long will it take to complete a job (from the time it is submitted by the customer until the time it is completed)?Note: Do not round intermediate calculations. Round your answer to 1 decimal place.Average processing timehours

Waiting time helps in identifying the actual time spent by the customers at the service counter…

Answered: CPU-on-Demand (CPUD) offers real-time…

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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CPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD owns 1 supercomputer that can be accessed through the Internet. Their customers send jobs that arrive on average every 6 hours. The standard deviation of the interarrival times is 4 hours. Executing each job takes on average 3 hours on the supercomputer and the standard deviation of the processing time is 4 hours. (Round your answer to 1 decimal place.) How long does a customer have to wait to have a job completed? hours
CPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD owns 1 supercomputer that can be accessed through the Internet. Their customers send jobs that arrive, on average, every 4 hours. The standard deviation of the interarrival times is 4 hours. Executing each job takes, on average, 3 hours on the supercomputer and the standard deviation of the processing time is 3.6 hours. On average, how long will it take to complete a job (from the time it is submitted by the customer until the time it is completed)?
CPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD owns 1 supercomputer that can be accessed through the Internet. Their customers send jobs that arrive, on average, every 5 hours. The standard deviation of the interarrival times is 5 hours. Executing each job takes on average 3 hours on the supercomputer and the standard deviation of the processing time is 4.5 hours. How long does a customer have to wait to have a job completed?
Larry Ellison starts a company that manufactures high-end custom leather bags. Hehires two employees. Each employee only begins working on a bag when a customerorder has been received and then she makes the bag from beginning to end. The average production time of a bag is 1.8 days, with a standard deviation of 2.7 days. Larryexpects to receive one customer order per day on average. The interarrival times oforders have a coefficient of variation of one. What is the expected duration, in days,between when an order is received and when production begins on the bag?
A copier store has four pieces of automatic equipment, but sometimes they are down because they need supplies, maintenance or repair. Each unit requires about two services every hour or, to be exact, each piece of equipment runs an average of 30 minutes before needing service. Service times vary greatly, from a simple service (such as pressing the reset switch or replenishing the paper) to disassembling the equipment in question. However, the average service time is five minutes. The time the equipment is down generates a loss of $60 per hour. The single employee who services the equipment earns $18 per hour. Using finite population analysis, answer the following questions: a. What is the average number of units idling? b. What is the average number of units still operating? c. What is the average number of units being serviced? d. The company is considering adding another manager at the same wage of $18 per hour. should it do so?
In most cases, if a firm increases its service capacity by 10 percent, it would expect waiting times to be reduced by what percentage? Assume customerarrivals and service times are random. An ice cream stand has a single window and one employee to serve customers. During their busy season, 30 customers arrive each hour, on average. It takes 1.5 minutes, on average, to serve a customer.What is the utilization of the employee? How long would customers have to wait in line, on average, at the ice cream shop discussed in question 7? Random service times can be modeled by this. A bank teller takes 2.4 minutes, on average, to serve a customer. What would be the hourly service rate used in the queuing formulas? There are three teller windows in the bank described in the prior question. On average, 60 customers per hour arrive at the bank. What will be the average number of customers in line at the bank?

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