OPERATIONS MANAGEMENT (LL) W/CONNECT
14th Edition
ISBN: 9781265502942
Author: Stevenson
Publisher: MCG CUSTOM
expand_more
expand_more
format_list_bulleted
Videos
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?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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.
Reliability
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
OPERATIONS MANAGEMENT (LL) W/CONNECT
Ch. 4.2 - Prob. 1.1RQCh. 4.2 - Prob. 1.2RQCh. 4.5 - Prob. 1.1RQCh. 4.5 - Prob. 1.2RQCh. 4.7 - Prob. 1.1RQCh. 4.7 - Prob. 1.2RQCh. 4.7 - Prob. 1.3RQCh. 4.8 - Prob. 1.1RQCh. 4.8 - Prob. 1.2RQCh. 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 - 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...
Knowledge Booster
Learn more about
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
- Assume that a computer has two 1TB disks, D0 and D1. The Mean Time to Failure (MTTF) ofeach disk is 1M hours.a. If the disk system is configured to have 2TB total storage capacity, when any of the two disksfails, the disk system fails. What is the MTTF of the disk system?b. Mirroring (RAID-1) is a technique can improve the reliability of disk systems by usingredundancy. Each data block will have two identical copies stored in both D0 and D1. Under thisconfiguration, the disk system has only 1TB total storage capacity; but it only fails when bothdisks fail (e.g. when the failed disk is being repaired, the second disk also fails). If the MTTR of afailed disk is 20 hours, what is the MTTF of the disk system now?arrow_forwardA manager is going to purchase new processing equipment and must decide on the number ofspare parts to order with the new equipment. The spares cost $200 each, and any unused spareswill have an expected salvage value of $50 each. The probability of usage can be described by thisdistribution:Number 0 1 2 3Probability .10 .50 .25 .15If a part fails and a spare is not available, two days will be needed to obtain a replacementand install it. The cost for idle equipment is $500 per day. What quantity of spares should beordered?a. Use the ratio method.b. Use the tabular method (see Table 13.3).arrow_forwardAssume Bristol-Myers Squibb is faced with one source of business risk as worker's injury. The probability of worker injury is 0.09 and when the accident (injury) happens, the losses from a worker's injury has medical expenses of $8,000 and lost pay expenses of $90,000. What is the expected loss per worker? A-- $8,820 B-- $7,056 C-- none of the answers is correct D-- $7,417 E-- $17,640arrow_forward
- 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?arrow_forwardA 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?arrow_forwardA 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?arrow_forward
- Howard Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that there is a probability of 0.40 that the ATR Co. will come out with a competitive product. If Weiss adds an assembly line for the product and ATR Co. does not follow with a competitive product, Weiss's expected profit is $40,000; if Weiss adds an assembly line and ATR follows suit, Weiss still expects $20,000 profit. If Weiss adds a new plant addition and ATR does not produce a competitive product, Weiss expects a profit of $600,000; if ATR does compete for this market, Weiss expects a loss of $100,000. a) Expected value for the Add Assembly Line option = $ (enter your answer as a whole number).arrow_forwardHoward Weiss, Inc., is considering building a sensitive new radiation scanning device. His managers believe that there is a probability of 0.6 that the ATR Co. will come out with a competitive product. If Weiss adds an assembly line for the product and ATR Co. does not follow with a competitive product, Weiss's expected profit is $40,000; if Weiss adds an assembly line and ATR follows suit, Weiss still expects $10,000 profit. If Weiss adds a new plant addition and ATR does not produce a competitive product, Weiss expects a profit of $600,000; if ATR does compete for this market, Weiss expects a loss of $100,000. What is the best decision based on expected monetary value (EMV)? What are the EMV and the expected value of perfect information (EVPI)? The best decision is to select the new plant with the EMV of $320,000 and the EVPI is $364,000. The best decision is to select the assembly line with the EMV of $180,000 and the EVPI is $66,000. The best decision is to select the assembly line…arrow_forwardA company owns two adjacent builds, and in each building, there is one piece of equipment that operates separately from one another. Based on past history, equipment 1 is expected to break down 7 times a year, with a variance of 3, and costs $600 per breakdown. equipment 2 is expected to break down 9.2 times per year, with a variance of 2.1, and costing $245 per breakdown. 1. What is the company’s expected cost for equipment breakdowns? 2. What is the variance of the breakdown cost? Provide set up of work to compare notes.arrow_forward
- 3arrow_forwardA workshop has 20 nos. of identical machines. The failure pattern of the machine is given below:- Elapsed time after Maintenance attention (in month) 1 2 Probability of failure 3 4 5 6 0.20 0.15 0.15 0.15 0.15 0.20 It costs 150 to attend a failed machine and rectify the same. Compute the yearly cost of servicing the broken down machines.arrow_forwardYou have two design options for your new line of high-resolution monitors for Computer-Aided Design (CAD)workstations. The production run is for 110,000 units. Design option A has a .90 probability of yielding 65good monitors per 100 and a .10 probability of yielding 70good monitors per 100. This design will cost $1,000,000. Design option B has a .80 probability of yielding 65good units per 100 and a .20 probability of yielding 60good units per 100. This design will cost $1,350,000. Good or bad, each monitor will cost $75. Each good monitor will sell for $150. Bad monitors are destroyed and have no salvage value. We ignore any disposal costs in this problem. Demonstrate how decision trees can be used in order to choose the design option based on the above situation. Calculate the expected monetary value (EMV) of each option and determine which option you will propose.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Process selection and facility layout; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=wjxS79880MM;License: Standard YouTube License, CC-BY