The fire department has a number of failures with its oxygen masks and is evaluating the possibility of outsourcing preventive maintenance to the manufacturer. Because of the risk associated with a failure, the cost of each failure is estimated at $2,200. The current maintenance policy (with station employees performing maintenance) has yielded the following history: Number of breakdowns 0 1 2 3 4 5 Number of years in which breakdowns occurred 5 3 1 4 6 2 a) The expected number of breakdowns per year with station employees performing maintenance = breakdowns per year (round your response to two decimal places).

The fire department has a number of failures with its oxygen masks and is evaluating the possibility of outsourcing preventive maintenance to the manufacturer. Because of the risk associated with a failure, the cost of each failure is estimated at $2,200. The current maintenance policy (with station employees performing maintenance) has yielded the following history: Number of breakdowns 0 1 2 3 4 5 Number of years in which breakdowns occurred 5 3 1 4 6 2 a) The expected number of breakdowns per year with station employees performing maintenance = breakdowns per year (round your response to two decimal places).

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

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At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.
The fire department has a number of failures withits oxygen masks and is evaluating the possibility of outsourcingpreventive maintenance to the manufacturer. Because of the riskassociated with a failure, the cost of each failure is estimated at$2,000. The current maintenance policy (with station employeesperforming maintenance) has yielded the following history:Number of breakdowns 012345Number of years in whichbreakdowns occurred 431550This manufacturer will guarantee repairs on any and all failures aspart of a service contract. The cost of this service is $5,000 per year. a) What is the expected number of breakdowns per year with sta-tion employees performing maintenance? b) What is the cost of the current maintenance policy?c) What is the more economical policy?
The number of yearly breakdowns for the power generator observed over the past 20 years at Orlando Utilities is presented in the following data: Number of breakdowns 0 1 2 3 4 5 6 Number of years in which breakdowns occurred 2 2 5 4 5 2 0 For Orlando Utilities, the expected number of breakdowns = (round your response to two decimal places).
The 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.
The failure rate of an electronic system is 0.005 failures per hour and its time to failure can be modelled by an exponential distribution and the system will fail 50 hours mission,Calculate:(a)The reliability of the system. [10 Marks](b) The cumulative distribution function of the system. PLEASE ANSWER ALL
Consider a product that is "settled in." Its MTBF distribution has been found to be normal with a mean of 10,000 hours and a standard deviation of 100 hours. Answer the following questions: (a) Calculate the probability of a breakdown before 8,000 hours? (b) Calculate the probability of a breakdown before 9,000 hours? (c) Would you prefer a policy of “preventive maintenance” or a policy of “breakdown maintenance” on this product? Explain your choice.
One of the industrial robots designed by a leading producer of servomechanisms has four major components. Components’ reliabilities are .98, .95, .94, and .90. All of the components must function in order for the robot to operate effectively.a. Compute the reliability of the robot.b. Designers want to improve the reliability by adding a backup component. Due to space limitations, only one backup can be added. The backup for any component will have the same reliability as the unit for which it is the backup. Which component should get the backup in orderto achieve the highest reliability?c. If one backup with a reliability of .92 can be added to any one of the main components, which component should get it to obtain the highest overall reliability?
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?
Rick Wing, salesperson for Wave Soldering Systems, Inc. (WSSI), has provided you with a proposal for improving the temperature control on your present machine. The machine uses a hot-air knife to cleanly remove excess solder from printed circuit boards; this is a great concept, but the hot-air temperature control lacks reliability. According to Wing, engineers at WSSI have improved the reliability of the critical temperature controls. The new system still has the four sensitive integrated circuits controlling the temperature, but the new machine has a backup for each. The four integrated circuits have reliabilities of 0.84 0.86 0.88 and 0.90 The four backup circuits all have a reliability of 0.84 Part 2 a) The overall reliability of the new temperature controller = enter your response here% (enter your response as a percentage rounded to two decimal places).
Rick Wing, salesperson for Wave Soldering Systems, Inc. (WSSI), has provided you with a proposal for improving the temperature control on your present machine. The machine uses a hot-air knife to cleanly remove excess solder from printed circuit boards; this is a great concept, but the hot-air temperature control lacks reliability. According to Wing, engineers at WSSI have improved the reliability of the critical temperature controls. The new system still has the four sensitive integrated circuits controlling the temperature, but the new machine has a backup for each. The four integrated circuits have reliabilities of 0.840.84, 0.860.86, 0.880.88, and 0.900.90. The four backup circuits all have a reliability of 0.840.84. Part 2 a) The overall reliability of the new temperature controller = 92.2592.25% (enter your response as a percentage rounded to two decimal places). Part 3 b) If you pay a premium, Wing says he can improve all four of the backup units to 0.870.87.…
The ABC Bank processes loan applications through 3 clerks set up in series, with reliabilities of 0.90, 0.80, and 0.99. a. The bank manager decided to provide redundancy to the two least reliable clerks. Reliability measures of the redundants are equal to the corresponding primary clerk. What is the new system reliability? Show illustration and complete solution. b. What will be the system reliability if the bank replaces the clerk with reliability measure of 0.80 and his redundant, with a 90% reliable clerk? Show illustration and complete solution.
Plastomer, Inc., specializes in the manufacture of high-grade plastic film used to wrap food products. Film is rejected and scrapped for a variety of reasons (e.g., opacity, high carbon content, incorrect thickness or gauge, scratches, etc.). During the past month, management collected data on the types of rejects and the amount of scrap generated by each type. The following table presents the results: Type of Failure Amount of Scrap (lbs.) Air bubbles Bubble breaks Carbon content Unevenness Thickness or gaugeOpacity ScratchesTrim Wrinkles 50019,6501503,81027,6004503,84050010,650 Draw a Pareto chart to identify which type of failure management should attempt to eliminate first.