Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 16, Problem 7PA
Summary Introduction
To determine: The utilization percentage.
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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
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?
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?
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- 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)?arrow_forwardFind a Doctor is a small startup that helps people find a physician who best meets their needs (location, insurance accepted, etc.). During a “slow” time for it, it has 8 staff members taking calls from customers. On average, one call arrives every 5 minutes (with a standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27.00 minutes). How long does one of their customers spend, on average, waiting on hold before he or she can start speaking to a representative?arrow_forwardCPU-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 4 hours. Executing each job takes, on average, 3 hours on the supercomputer and the standard deviation of the processing time is 3.5 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 time hoursarrow_forward
- A chemical plant stores spare parts for maintenance in a large warehouse. Throughout the working day, maintenance personnel go to the warehouse to pick up supplies needed for their jobs. The warehouse receives a request for supplies, on average, every 2 minutes (Poisson distributed). The average request requires 1.7 minutes to fill (exponential service times). Maintenance employees are paid $20 per hour, and warehouse employees are paid $12 per hour. The warehouse is open 8 hours each day. What is the optimal number of warehouse employees to hire? (Hint: Time spent by maintenance workers waiting in line for supplies should be considered an expense.) What is the total cost per hour (waiting plus warehouse employee labor cost) of your solution?arrow_forwardConsider an Erlang loss system. The average processing time is 3 minutes. The average interarrival time is 2 minutes. The number of servers is 4. What is the probability that all servers are busy?arrow_forwardExperience the Tour de France (ETF) is a specialty travel agent. It arranges vacations for amateur cyclists who want to experience the Tour de France by riding through one or more stages in the race. It has five people who take calls from clients. Each call lasts on average 25 minutes, with a standard deviation of 50 minutes. A call arrives on average every 20 minutes with a standard deviation of 20 minutes. (Do not round intermediate calculations. Round your answer to two decimal places.) On average, how many minutes does a caller wait before talking to an agent? minutesarrow_forward
- A computer system queues up batch jobs and processes them on an FCFS basis.Between 2 and 5 P.M., jobs arrive at an average rate of 30 per hour and require anaverage of 1.2 minutes of computer time. Assume the arrival process is Poissonand the processing times are exponentially distributed.d. What is the probability that the queue is empty?arrow_forwardConsider doctor’s office: Physician’s have 30 min appointment slots starting at 8 AM to 6 PM Physicians spend 90 min (1.5 hrs.) each day on electronic medical records and 30 min on claims processing/questions related to medical insurance Typically, physicians have 75 percent appointments booked in advance, which leads to frequent cancellations. One out of 6 patients do not show up Even though appointment slots are 30 min, physicians spend on average 23 minutes with patient. Out of those 23 min, say 5 min could be done by nurse How much of physician’s work is value addedarrow_forward
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