Concept explainers
a)
To determine: The percentage of scanners that are expected to fail.
Introduction:
Mean time between failures (MTBF):
The mean time between failures is a term which denotes the time that is elapsed between the first failure of a product and the second failure of a product. It is calculated during the normal system operation.
b)
To determine: The percentage of scanners that are expected to fail.
Introduction:
Mean time between failures (MTBF):
The mean time between failures is a term which denotes the time that is elapsed between the first failure of a product and the second failure of a product. It is calculated during the normal system operation.
c)
To determine: The percentage of scanners that are expected to fail.
Introduction:
Mean time between failures (MTBF):
The mean time between failures is a term which denotes the time that is elapsed between the first failure of a product and the second failure of a product. It is calculated during the normal system operation.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Operations Management
- A component has a reliability that fits the exponential distribution. The Mean Time Between Failure for the component is 2500 cycles. What is the probability that the component will not fail before 7500 cycles? ( don't hand writing solution)arrow_forwardAssume 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 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
- 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?arrow_forwardA manufacturer of programmable calculators is attempting to determine a reasonable free-serviceperiod for a model it will introduce shortly. The manager of product testing has indicated that thecalculators have an expected life of 30 months. Assume product life can be described by an exponential distribution.a. If service contracts are offered for the expected life of the calculator, what percentage of thosesold would be expected to fail during the service period?arrow_forwardAn office security system at PAC Ltd has two component parts, both of which must work for the system to function. Part 1 has a reliability of 80 percent, and part 2 has a reliability of 98 percent. Compute the reliability of the system.arrow_forward
- The Operations Manager at the TerraCycle London Recycling Centre is currently strategizing for The upcoming Easter period, anticipating an increase in workload during that time. Consequently, there is an increased concern regarding the readiness of the recycling machines To handle the additional loads. To address this, a set of 20 machines in the sortation and Aggregation stage underwent a testing phase lasting 2,000 hours. Unfortunately, during this Testing period, three machines experienced failures at the following intervals: Failure 1 occurred at 1150 hours. Failure 2 occurred at 1300 hours. Failure 3 occurred at 1550 hours. 1. Compute the failure rate based on the number of machines tested and the operating time. 2. Calculate the Mean Time Between Failures (MTBF) for the tested machines. 3. Provide an interpretation of the results and recommend strategies for the Operations Manager to effectively manage the identified risks. 4. After successfully completing this test at the London…arrow_forwardThe Operations Manager at the TerraCycle London Recycling Centre is currently strategizing for The upcoming Easter period, anticipating an increase in workload during that time. Consequently, there is an increased concern regarding the readiness of the recycling machines To handle the additional loads. To address this, a set of 20 machines in the sortation and Aggregation stage underwent a testing phase lasting 2,000 hours. Unfortunately, during this Testing period, three machines experienced failures at the following intervals: Failure 1 occurred at 1150 hours. Failure 2 occurred at 1300 hours. Failure 3 occurred at 1550 hours. 1. Compute the failure rate based on the number of machines tested and the operating time. 2. Calculate the Mean Time Between Failures (MTBF) for the tested machines. 3. Provide an interpretation of the results and recommend strategies for the Operations Manager to effectively manage the identified risks. 4. After successfully completing this…arrow_forwardThe guidance system of a ship is controlled by a computer that has three major modules. In order for the computer to function properly, all three modules must function. The modules have reliabilities of 97%, 95%, and 99%. What is the reliability of the computer? A backup computer identical to the one being used will be installed to improve overall reliability. Assuming the new computer automatically functions if the main one fails, determine the resulting reliability. 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_forward
- The TechGuide Company produces and sells 7,500 modular computer desks per year at a selling price of $750 each. Its current production equipment, purchased for $1,800,000 and with a 5-year useful life, is only 2 years old. It has a terminal disposal value of $0 and is depreciated on a straight-line basis. The equipment has a current disposal price of $450,000. However, the emergence of a new molding technology has led TechGuide to consider either upgrading or replacing the production equipment. The following table presents data for the two alternatives: LOADING... (Click to view the data for the two alternatives.) Read the requirements LOADING... . Requirement 1. Should TechGuide upgrade its production line or replace it? Show your calculations. Determine the total relevant costs over 3 years. (If an input field is not used in the table, leave the input field empty; do not enter a zero. Use parentheses or a minus sign for numbers to be subtracted.)…arrow_forwardThe annual maintenance costs of a machine that has been in use for 3 years are 300 TL, 350 TL and 375 TL, respectively. The machine is expected to be available for 8 years after purchase. The maintenance costs foreseen for the coming years are 400 TL in the first year and 150 TL in the following years. If the machine is sold today, it can be sold for 1500 TL, and in the following years for 1000 TL. What is the optimum regeneration time of the machine if the MCVO is 10%?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
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,