Loose-leaf for Operations Management (The Mcgraw-hill Series in Operations and Decision Sciences)
12th Edition
ISBN: 9781259580093
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 4.S, Problem 7P
A production line has three machines A, B, and C, with reliabilities of .99, .96, and .93, respectively. The machine are arrange to that if one breaks down, the other: must shut down. Engineers are weighing two alternative designs for the line’s reliability. Plan 1 involve adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three.
a. Which plan will provide the higher reliability?
b. Explain why the two reliabilities are not the same.
c. What other factors might enter into the decision of which plan to adopt?
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A production line has three machines A, B, and C, with reliabilities of 90, 95, and 94, respectively. The machines are arranged so that
if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan
1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A.
B. and C) would be used with reliabilities equal to the original three.
a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal places.)
Answer is complete but not entirely correct.
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0.9859
b. Compute overall system reliability under Plan 2 (Round your intermediate calculations and final answer to 4 decimal places.)
A production line has three machines A, B, and C, with reliabilities of .90, 95, and .98, respectively. The machines are
arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for
increasing the line's reliability. Plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for
each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three.
a. Compute overall system reliability under Plan 1. (Round your intermediate calculations and final answer to 4 decimal
places.)
b. Compute overall system reliability under Plan 2. (Round your intermediate calculations and final answer to 4 decimal
places.)
c. Which plan will provide the higher reliability?
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.
Chapter 4 Solutions
Loose-leaf for Operations Management (The Mcgraw-hill Series in Operations and Decision Sciences)
Ch. 4.5 - Prob. 1.1RQCh. 4.5 - Prob. 1.2RQCh. 4.8 - LEGO A/S IN THE PINK Lego A/S overcame the recent...Ch. 4.11 - THE CHALLENGES OF MANAGING SERVICES Services can...Ch. 4.11 - THE CHALLENGES OF MANAGING SERVICES Services can...Ch. 4.S - Prob. 1DRQCh. 4.S - Prob. 2DRQCh. 4.S - Prob. 3DRQCh. 4.S - Consider the following system: Determine the...Ch. 4.S - A product is composed of four parts. In order for...
Ch. 4.S - A system consists of three identical components....Ch. 4.S - A product engineer has developed the following...Ch. 4.S - The guidance system of a ship is controlled by a...Ch. 4.S - One of the industrial robots designed by a leading...Ch. 4.S - A production line has three machines A, B, and C,...Ch. 4.S - Prob. 8PCh. 4.S - A Web server has five major components that must...Ch. 4.S - Repeat Problem 9 under the condition that one of...Ch. 4.S - Hoping to increase the chances of reaching a...Ch. 4.S - An electronic chess game has a useful life that is...Ch. 4.S - A manufacturer of programmable calculators is...Ch. 4.S - Lucky Lumen light bulbs have an expected life that...Ch. 4.S - Prob. 15PCh. 4.S - Prob. 16PCh. 4.S - A major television manufacturer has determined...Ch. 4.S - Prob. 18PCh. 4.S - Determine the availability for each of these...Ch. 4.S - Prob. 20PCh. 4.S - A manager must decide between two machines. The...Ch. 4.S - Prob. 22PCh. 4.S - Auto batteries have an average life of 2.7 years....Ch. 4 - Prob. 1DRQCh. 4 - Prob. 2DRQCh. 4 - Prob. 3DRQCh. 4 - Prob. 4DRQCh. 4 - Prob. 5DRQCh. 4 - Prob. 6DRQCh. 4 - Prob. 7DRQCh. 4 - Prob. 8DRQCh. 4 - a. What is meant by the term life cycle? b. Why...Ch. 4 - Prob. 10DRQCh. 4 - Prob. 11DRQCh. 4 - Prob. 12DRQCh. 4 - Prob. 13DRQCh. 4 - Explain what quality function development is and...Ch. 4 - Prob. 15DRQCh. 4 - Prob. 16DRQCh. 4 - Prob. 17DRQCh. 4 - Prob. 18DRQCh. 4 - Prob. 19DRQCh. 4 - Describe some of the trade-off that are...Ch. 4 - Prob. 2TSCh. 4 - Prob. 3TSCh. 4 - Prob. 1CTECh. 4 - Prob. 2CTECh. 4 - Prob. 3CTECh. 4 - Prob. 4CTECh. 4 - Prob. 5CTECh. 4 - Give two examples of unethical conduct involving...Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prepare a service blueprint for each of these...Ch. 4 - Prepare a service blueprint for each of these post...Ch. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prepare a table similar to that shown in Problem...
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