Reference no: EM131083687
For the telephone switch of Example 10.28, we can estimate the expected number of calls in the system, E[M(t)], after T minutes using the time average estimate
Perform a 600-minute switch simulation and graph the sequence 
1, 2,..., 600. Does it appear that your estimates are converging? Repeat your experiment ten times and interpret your results.
Example 10.28
Simulate 60 minutes of activity of the telephone switch of Example 10.4 under the following assumptions.
(a) The switch starts with M(0) = 0 calls.
(b) Arrivals occur as a Poisson process of rate λ = 10 calls/min.
(c) The duration of each call (often called the holding time) in minutes is an exponential (1/10) random variable independent of the number of calls in the system and the duration of any other call.
Example 10.4
Consider an experiment in which we record M(t), the number of active calls at a telephone switch at time t, at each second over an interval of 15 minutes. One trial of the experiment might yield the sample function m(t,s) shown in Figure 10.2. Each time we perform the experiment, we would observe some other function m(t,s). The exact m(t,s) that we do observe will depend on many random variables including the number of calls at the start of the observation period, the arrival times of the new calls, and the duration of each call. An ensemble average is the average number of calls in progress at t = 403 seconds. A time average is the average number of calls in progress during a specific 15-minute interval.
|
Calculate the deadweight loss from monopoly
: Where Q indicates the number of copies sold and P is the price in dollars. a. Find the price and quantity that maximizes the company’s profit. b. Find the price and quantity that would maximize social welfare (the competitive equilibrium). c. Calcula..
|
|
Discusses change in the supply or demand of product
: Find an article about a current event that discusses a change in the supply or demand of a product. For example, has there been a weather event that has affected certain food crops or the availability of energy? Has a new consumer product been introd..
|
|
Calculate the molar absorptivity of kmno4, at 520 nm
: Calculate the molar absorptivity of KMnO4, at 520 nm.
|
|
About monopolistic competition
: Let us imagine you are a consultant who has just been hired by a small business owner as an industry specialist. For this discussion you will identify one specific small business that you own, know the owner well or frequent as a customer. As the bus..
|
|
Arrivals occur as a poisson process of rate
: For the telephone switch of Example 10.28, we can estimate the expected number of calls in the system, E[M(t)], after T minutes using the time average estimate
|
|
Key macroeconomic objectives of the federal reserve
: What are the two subfields into which economics is divided? Explain what each subfield studies. What are three measures of the economy during the business cycle? Which way do they move during an expansion? During a contraction? What are two of the ke..
|
|
How much will price need to be changed to have level of sale
: For the price function p(x) = 10 − sqrt 3x where p is in dollars and x is the number sold in hundreds (0 ≤ x ≤ 30), use R(12) and MR(12) to approximate the revenue when 1240 items are sold. [Hint: Revenue is price times quantity.] $ How much will the..
|
|
Role of inter audit in the assurance process
: The Colleges are facing issues of survival after the government further cut their funding. Two colleges have decided to merge to safeguard their provision and safeguard their staff jobs. List the major stakeholders that will be effected by the colleg..
|
|
What is the project payback
: A project that cost $75,800 and has expected net cash flows of $13,000 per year for nine years. The first inflow occurs one year after the cost outflow, and the project has a cost of capital of 14%.
|