a
Interpretation:
Reliability of single component system.
Concept Introduction:
Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.
b
Interpretation:
Reliability of two component system in series.
Concept Introduction:
Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.
c
Interpretation:
Reliability of two component system in parallel.
Concept Introduction:
Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.
Trending nowThis is a popular solution!
Chapter 13 Solutions
Production and Operations Analysis, Seventh Edition
- Banks have card readers on the outside doors to individuals branches for access to the ATM lobby for off banking hours. In this example, a bank has decided to use two card readers hooked up in parallelredundancy where the customer can use either card reader to gain entry to the lobby. Assume that the percentage of failure for the card reader is 5%, find the overall system reliability, Rs .arrow_forwardThe concept of reliability, in short, refers to the ability of a given system to operate in accordance with the purpose for which it was designed, within a stipulated period of time. Suppose you, Mechanical Engineer, have been hired to provide consultancy to a parts factory automotive. At one point in the conversation between you and your contractor, he stated that the company has a specific system that needs to undergo reliability optimization and made the following statement: “The system we want to optimize has a low reliability of 63%. We come to this conclusion because, in for every 100 manufactured components 63 fail.” Review the above conclusion and judge whether the contractor is right or wrong in the comment he made. Justify your answer, presenting valid arguments, based on the discipline. Please make it typeable as handwriting hinders understanding!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_forward
- If the backup computer must be activated by a switch in the event that the first computer fails, and the switch has a reliability of .98, what is the overall reliability of the system? (Both the switch and the backup computer must function in order for the backup to take over.)arrow_forwardBoth alpha and beta are measures of reliability. Both alpha and beta are measures of reliability. True Falsearrow_forwardReliability metrics includes: Select one: a. Probability of failure on demand, Rate of occurrence of failures/Mean time to failure, and Availability b. Probability of failure on demand c. Availability d. Rate of occurrence of failures/Mean time to failurearrow_forward
- Three (3) computers together provide a replicated service. The manufacturers claim that each computer has a mean time between failure of five days; a failure typically takes four hours to fix. What is the availability of the replicated service?arrow_forwardSeveral years ago, Baecher, de Neufville, and Paté carried out a study of reported failures of large dams around the world. They concluded that the failure rate was 0.0001 per dam-year. A dam-year is defined as one dam operating for one year. The definitions of "failure" and "large dam" are subject to dispute, but the study has become the basis for much of the reliability studies done by agencies that operate dams. Almost everyone assumes that this failure rate represents a constant failure rate (CFR) scenario even though there is good reason to believe that a bathtub curve, with higher rates of failure at the beginning and end of the life cycle, might be more appropriate. Assuming that the CFR model is accurate, answer the following: a) What is the mean time to failure (MTTF) in dam-years for the Baecher et al. model? b) If an agency manages a portfolio of 350 dams, and they are independent of each other, what is the mean time the agency can expect to carry on before a failure occurs?…arrow_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
- Supposed the constant failure rate for both the main and the standby units are constant and are given by λ= 0.02 per hour, and the constant failure rate of the switching and sensing unit is λSW =0.01 per hour.(c) Find the reliability of this system for an operating time of 50 hoursarrow_forwardAn office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed with a mean of 41 months and a standard deviation of 4 months. On the basis of this information, determine the percentage of scanners that can be expected to fail in the following time periods:a. Before 38 months of serviceb. Between 40 and 45 months of servicec. Within ± 2 months of the mean lifearrow_forwardA serial system is assembled in house from 20 parts. To be successful in the marketplace the system has to have three sigma reliability. What level of reliability of each part is necessary to achieve that level of the overall performance?arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill EducationOperations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
- Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage LearningProduction and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.