EBK PRODUCTION AND OPERATIONS ANALYSIS
7th Edition
ISBN: 8220102480681
Author: Olsen
Publisher: WAVELAND
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13.1, Problem 4P
Summary Introduction
Interpretation:
Cumulative distribution function of the time until failure of microprocessor.
Concept Introduction:
Cumulative distribution function is a probability function in which probability is calculated that the variable takes less than or equal to x.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
United Electric (UE) sells refrigerators for $400 with a one-year warranty. The warranty works as follows. If any part of the refrigerator fails during the first year after purchase, UE replaces the refrigerator foran average cost of $100. As soon as a replacement is made, another one-year warranty period begins for the customer. If a refrigerator fails outside the warranty period, we assume that the customer immediatelypurchases another UE refrigerator. Suppose that the amount of time a refrigerator lasts follows a normal distribution with a mean of 1.8 years and a standard deviation of 0.3 year.a. Estimate the average profit per year UE earns from a customer.b. How could the approach of this problem be used to determine the optimal warranty period?
TenTen Company manufactures video recorders. It is so certain of its quality control that it is offering a complete replacement warranty if the set fails within two years. Based upon compiled data, the company has a need that only 1% of its recorders fail during the first year and 5% fail during the second year. The warranty does not cover replaced recorders.
a) Formulate this problem as a Markov chain and determine the transition matrix.
b) Find the probability that the manufacturer will have to honor the warranty.
A local military base maintains a variety of different equipment. One of these is a sensitive radardevice that signals incursion of enemy planes into American airspace. Breakdowns of the device occur completely at random at an average rate of three per year. The equipment is generally repaired the same day that it fails. Determine the following:b. The probability that there are exactly five breakdowns in any given year.
Chapter 13 Solutions
EBK PRODUCTION AND OPERATIONS ANALYSIS
Ch. 13.1 - Prob. 3PCh. 13.1 - Prob. 4PCh. 13.1 - Prob. 5PCh. 13.1 - Prob. 6PCh. 13.2 - Prob. 7PCh. 13.2 - Prob. 9PCh. 13.3 - Prob. 13PCh. 13.3 - Prob. 14PCh. 13.4 - Prob. 15PCh. 13.4 - Prob. 16P
Ch. 13.4 - Prob. 17PCh. 13.4 - Prob. 18PCh. 13.4 - Prob. 19PCh. 13.4 - Prob. 20PCh. 13.6 - Prob. 21PCh. 13.6 - Prob. 22PCh. 13.6 - Prob. 23PCh. 13.6 - Prob. 24PCh. 13.6 - Prob. 25PCh. 13.7 - Prob. 26PCh. 13.7 - Prob. 27PCh. 13.7 - Prob. 28PCh. 13.7 - Prob. 30PCh. 13.7 - Prob. 31PCh. 13.7 - Prob. 32PCh. 13.7 - Prob. 33PCh. 13.7 - Prob. 34PCh. 13.8 - Prob. 35PCh. 13.8 - Prob. 36PCh. 13.8 - Prob. 37PCh. 13.8 - Prob. 38PCh. 13.8 - Prob. 39PCh. 13.8 - Prob. 40PCh. 13.8 - Prob. 41PCh. 13 - Prob. 42APCh. 13 - Prob. 43APCh. 13 - Prob. 44APCh. 13 - Prob. 45APCh. 13 - Prob. 46APCh. 13 - Prob. 48APCh. 13 - Prob. 49APCh. 13 - Prob. 51APCh. 13 - Prob. 52APCh. 13 - Prob. 53AP
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
- The failure of power transformers is assumed to follow a Poisson probability distribution. Suppose on the average, a transformer fails once every 10 years, what is the probability that it will not fail in the next 12 months? That it will fail once in the next 24 months?arrow_forwardPlanetary Communications, Inc., intends to launch a satellite that will enhance reception of television programs in Alaska. According to its designers, the satellite will have an expected life of sixyears. Assume the exponential distribution applies. Determine the probability that it will functionfor each of the following time periods:a. More than 9 yearsarrow_forwardSuppose that you have two four-sided dice that are each equally weighted (i.e. equal chance of any of the four sides landing face up). One of them has values [12.5968, 2, -2 and -12.5968] , the other [12.5968, 4, -2 and -12.5968] . Which of them has a µ of zero using the probability model approach. 1. [12.5968, 4, -2 and -12.5968] 2. [12.5968, 2, -2 and -12.5968]arrow_forward
- In designing a new space vehicle, NASA needs to decide whether to provide 0, 1 or 2 backup systems for a critical component of the vehicle. The first backup system, if included, comes into use only if the original system fails. The second backup system, if included, comes into use only if the original system and the first backup system both fail. NASA engineers claim that each system, independent of the others, has a 1.5% chance of failing if called into use. Each backup system costs $70,000 to produce and install within the vehicle. Once the vehicle is in flight, the mission will be scrubbed (ended early) only if the original system and all backups fail. The cost of a scrubbed mission, in addition to production costs, is assessed to be $5,000,000. How many backup systems are needed to minimize NASA’s expected total cost?arrow_forwardSuppose that you have two four-sided dice that are each equally weighted (i.e. equal chance of any of the four sides landing face up). One of them has values [12.5968, 2, -2 and -12.5968] , the other [12.5968, 4, -2 and -12.5968] Which of them has a σ of 9 using the probability model approach. a) [12.5968, 2, -2 and -12.5968] B) [12.5968, 4, -2 and -12.5968]arrow_forwardPlanetary Communications, Inc., intends to launch a satellite that will enhance reception of television programs in Alaska. According to its designers, the satellite will have an expected life of sixyears. Assume the exponential distribution applies. Determine the probability that it will functionfor each of the following time periods: b. Less than 12 yearsarrow_forward
- A collection of 30 Christmas tree lights are arranged in a pure series circuit; that is, ifone of the lights burns out, then the entire string goes out. Suppose that each light failscompletely at random at a rate of one failure every year. What is the probability that thelights will burn from the beginning of Christmas Eve (December 24) to the end of NewYear’s Day (January 1) without failure?arrow_forwardA production process contains a machine that deteriorates rapidly in both quality and output under heavy usage, so that it is inspected at the end of each day. Immediately after inspection, the condition of the machine is noted and classified into one of the four possible states: State Condition Good as new Operable-minimum deterioration Operable-major deterioration Inoperable 2 3 The process can be modeled as a Markov Chain with its (one-step) transition matrix P given by 1 7 1 - 16 8 16 3 1 1 P = 8. 4 8. 1 1 2 a. Determine the expected life of a new machine if it is replaced when it is "Inoperable". b. Determine the expected life of a new machine if it is replaced when it is either "Operable-major deterioration" or "Inoperable". c. According to the replacement rule in b., what is the percentage of machines that are replaced when they are inoperable?arrow_forwardThe length of time between breakdowns of an essential piece of equipment is important in the decision of the use of auxiliary equipment. An engineer thinks that the best “model” for time between breakdowns of a generator is the exponential distribution with a mean of 15 days. If the generator has just broken down, what is the probability that it will break down in the next 12 to 24 days?arrow_forward
- Example 13.4 A local manufacturer of copying equipment includes a repair warranty with each copier. Virtu- ally all of his equipment exhibit an increasing failure rate. Based on historical repair data, the failure rate for Model 25cc7 is accurately described by the function r(t) = 2.7786t'3, where t is measured in months of continuous operation. What is the probability that the time between two successive failures of this equipment exceeds two months of operation?arrow_forwardA design engineer is considering the number of levels of redundancy to buildinto a particular circuit. The circuit will be part of a sensitive piece of equipmentwith cost estimated at $500 per failure. Each additional level of redundancy costs$100. If each component fails at random at a rate of one failure every five years,what level of redundancy most closely equates the cost of the design with the expected failure cost of the equipment over its 10-year life cycle?arrow_forwardThe mean life of a certain ball bearing can be modeled using a normal distribution with amean of six years and a standard deviation of one year. Determine each of the following:a. The probability that a ball bearing will wear out before seven years of service.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,