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As the chief engineer in charge of a proposed major civil engineering structure in your country's capital, you have a fiduciary responsibility to optimize the use of taxpayer dollars in maintaining the system. You have been tasked with developing a maintenance program for the new system from now (year 0) until the end of its service life in 75 years. For each year of this horizon period, you seek to determine whether or not to undertake some repair activity. There are three categories of repair that you could undertake: major maintenance, minor maintenance, or simple routine maintenance. Every year, you need to apply only one of these repair categories. Each repair category has an associated benefit and cost. You seek to maximize the ratio of total benefits to total costs over the life cycle. The overall maintenance budget over the life cycle is $C. Other constraints are that the total benefit must be at least a certain threshold, R units.
(a) What kind of knapsack problem is exemplified by this problem? Give reason for your answer.
(b) Using suitable decision variables, write a simple but complete mathematical formulation for this optimization problem.
Replacement times for CD players are normally distributed with mean of 7.1 years and a standard deviation of 1.4 years (based on data from "Getting Things Fixed," Consumer Reports). Find the probability that a randomly selected CD player will have..
Evolutionary theories often, Emphasize that humans have adapted to their physical environment. One such theory hypothesis that:
what is the numeric value of k if the pmf is given as px k2 for x
Once you are done with this problem go to a web and do a quick research of how probabilities are used in different disciplines and share an article that shows this. Summarize your article and provide your references
What is the underlying difference between the T-test and the Z-test? Provide an example of nominal information and write a work related survey question that would collect nominal data:
a manufacturer of plumbing fixtures has developed a new type of washerless faucet. let p p a randomly selected faucet
question a box contains 18 computer disks 5 of which are known to have bad sectors. in how many ways can 4 disks be
a random variable x has a uniform distribution between 4 and 14. find the probability that the random variable will
1. you manage a loan portfolio at a local bank. one day you are approached by a jim riskind who is seeking an unsecured
What is the probability that a randomly selected grapefruit will have a diameter of at least 4.14 inches?
If a random sample of 40 voters is chosen, approx. the probability that more than 20 favor this candidate. Use the normal approximation to the binomial with a correction for continuity.
The obvious caveat applies that such a (zero) correlation is ultimately an empirical question that depends on the data set. [1] Acemoglu, Daron, (1998) Why do New Technologies Complement Skills?
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