Principles of Operations Management: Sustainability and Supply Chain Management (10th Edition)
10th Edition
ISBN: 9780134181981
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter 17, Problem 15P
Summary Introduction
To determine: The reliability of the system.
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A typical retail transaction consists of several smaller steps, which can be considered components subject to failure. A list of such components might include: Let the eight probabilities of success be .92, .94, .99, .99, .98, .97,.95, and .96. What is the reliability of the system; that is, the probabilitythat there will be a satisfied customer? If you were the storemanager, what do you think should be an acceptable value forthis probability? Which components would be good candidatesfor backup, which for redesign?
A typical retail transaction consists of severalsmaller steps, which can be considered components subject tofailure. A list of such components might include:
Let the eight probabilities of success be .92, .94, .99, .99, .98,.97, .95, and .96. What is the reliability of the system; thatis, the probability that there will be a satisfied customer? Ifyou were the store manager, what do you think should bean acceptable value for this probability? Which componentswould be good candidates for backup, which for redesign?
A product engineer has developed the following equation for the cost of a system component: C = (10P) 2, where C is the cost in dollars and P is the probability that the component will operate as expected. The system is composed of two identical components, both of which must operate forthe system to operate. The engineer can spend $173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?
Chapter 17 Solutions
Principles of Operations Management: Sustainability and Supply Chain Management (10th Edition)
Ch. 17 - Prob. 1EDCh. 17 - Prob. 1DQCh. 17 - Prob. 2DQCh. 17 - Prob. 3DQCh. 17 - Prob. 4DQCh. 17 - What is the trade-off between operator-performed...Ch. 17 - Prob. 6DQCh. 17 - Prob. 7DQCh. 17 - Prob. 8DQCh. 17 - Prob. 9DQ
Ch. 17 - Prob. 10DQCh. 17 - Prob. 1PCh. 17 - Prob. 2PCh. 17 - Prob. 3PCh. 17 - Prob. 4PCh. 17 - Prob. 5PCh. 17 - Prob. 6PCh. 17 - Prob. 7PCh. 17 - Prob. 8PCh. 17 - Prob. 9PCh. 17 - What is the reliability of the system shown?Ch. 17 - Prob. 11PCh. 17 - Prob. 12PCh. 17 - Rick Wing, salesperson for Wave Soldering Systems,...Ch. 17 - Prob. 14PCh. 17 - Prob. 15PCh. 17 - What are the expected number of yearly breakdowns...Ch. 17 - Prob. 19PCh. 17 - Prob. 20PCh. 17 - Prob. 21PCh. 17 - Prob. 1CSCh. 17 - Prob. 2CSCh. 17 - Prob. 3CS
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.arrow_forwardAn operation consists of two steps , the first of which has a reliability of 97% and the second a reliability of 99%. What is the probability that the operation will fail? please I need full explanationarrow_forwardAn early warning security fence has three major components each must perform in order for the system to perform. Their reliabilities are .4, .3, and .2. The system reliability is equal to:arrow_forward
- A floor cleaning robot contains 4 modules that are critical to its operation. The modules and their individual reliabilities are listed below. Movement module 0.98 Data Storage Module 0.999 Learning Module 0.99 Vision Module 0.94 What is the probability that the system will be up and running? Suppose this number is too low and it is desired to improve the reliability through redundant elements. What would be the new reliability from each one of these changes? a. back up the Vision module with an identical module. b. back up the movement module with an identical module, but not the vision module.arrow_forwardThe reliability of a hard-disk drive is typically described in terms of a quantity called mean time between failures (MTBF). Although this quantity is called a “time,” the MTBF actually is measured in drive-hours per failure. If a system contains 1,000 disk drives, each of which has a 750,000-hour MTBF, which of the following best describes how often a drive failure will occur in that disk farm: once per thousand years, once per century, once per decade, once per year, once per month, once per week, once per day, once per hour, once per minute, or once per second?arrow_forwarda factory that produces a small number of items per day. In about 30% of working days the factory produces 7 units of the product, in 45% of working days it produces 8 units, and the rest of working days it produces 9 units. After production is completed, each unit is thoroughly inspected. Each unit fails inspection with probability ??. If two or more units fail inspection on the same day, the factory closes for a week to re-calibrate equipment. Say the factory opens today after being closed for a week, write a mathematical expression to calculate the probability that the factory will remain open at least 30 days before closing again.arrow_forward
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