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Question: Discrete-Time Version of the M/M/1 System. Consider a queueing system where interarrival and service times are integer valued, so customer arrivals and departures occur at integer times. Let λ be the probability that an arrival occurs at any time k, and assume that at most one arrival can occur. Also let μ, be the probability that a customer who was in service at time k will complete service at time k + 1. Find the occupancy distribution pn in terms of λ and μ.
Your iron works has contracted to design and build a 500-cubic foot, square based, open topped, rectangular steel holding tank for a paper company.
An average of 15 aircraft accidents occur each year (The World Almanac and Book of Facts. 2004). Compute the mean number of aircraft accidents per month.
A survey showed that 8% of Internet users age 18 and older report keeping a blog. Refer-ring to the 18-29 age group as young adults, the survey.
Determine formulas for the t-step probabilities P(Xt = 0) and P(Xt = 1). What is the limiting distribution of the Markov chain?
Find general formulas for the eigenvalues for the local linearization at the first 3 equilibrium points (the ones that always exist)
The profit generated by each table is $40, by each chair is $30, and by each bookcase is $35. The company wishes to get the maximum profit possible, and a linear program is to be developed for this purpose.
Estimate the population total by using "the estimator based on partial selection probabilities" (modified Hansen-Hurwitz estimator). Estimate the variance
R&R keeps at most two of each model in inventory each month but wants to have at least one of Model D in inventory at all times. The current inventory of each model is 2.
Formulate an LP problem to determine what blend of the four chemicals will allow Golding to minimize the cost of a 50 pound bag of the fertilizer. Solve using the computer LP approach.
Calculate the upward force on the anchorage when the pipeline is flowing full. Calculate the upward force on the anchorage when the pipeline is empty. Assume density of steel is 7900kg/m3 and that of water is 1000kg/m3
Using a significance level of 5%, test whether the two regressors Saturation and Transisomers have the same effect on the response. Find the 95% confidence interval for the expected value of Y corresponding to X1 = 30 and X2 = 15
Computer the standard purchase price for one gram of Alpha SR40. Computer the standard quantity of Alpha SR40 (in grams) per capsule that passes final inspection.
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