The RunsThe simulator should take 2 command-line arguments (or write a "simulator-run"function that takes 2 arguments, if command-line stuffs are too difficult to you): Thefirst is the average arrival rate and the second is the average service time. We willvary the average arrival rate, λ, of processes from 10 processes per second to 30processes per second with increment step of 1 (i.e., we are doing 21 simulation runsfor 10, 11, λ = 12, ... λ=30, respectively). The service time is generatedaccording to an Exponential Distribution with an average service time of 0.04 second.For each run, you would need to output the four itemized metrics above.The PlotsThe report would include a brief description of the results and show a single plot foreach one of the above metrics (with 2 as the x-axis). That is, each plot would have 21data point, and there are four plots (one for each metrics). A brief description and/ordiscussion on the interpretation of the plots should also be included.

To accomplish this task, you can write a Python script that simulates the system and generates the…

Answered: The Runs The simulator should take 2…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section: Chapter Questions

Problem 17RP

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You are given the following boolean function as input for SAT: (x1∨x2∨x3¯∨x4∨x5¯)∧(x1∨x4¯∨x5) You apply the transformation from class to get an input of 3-SAT. The resulting boolean formula has how many clause and how many variables?
An insulated, electrically-heated (100 kW) tank contains400 kg of water at 65°C when its power is lost. Water iswithdrawn at a steady rate of 0.4 kg/s and cold water (at12°C) enters the tank at the same rate. Assume the tankis well-mixed, and neglect heat gains or losses throughthe tank walls. For the water, c=cp=cv=4200 J/kg C(a) Create a script (m-file) in MATLAB to calculate howlong will it take for the tank’s temperature to fall to 25°C.(b) Display the entire program code used for your scriptcreated in MATLAB. Make sure that running the scriptprovides a numeric result and include your name as acomment.
In Python, write a function that produces plots of statistical power versus sample size for simple linear regression. The function should be of the form LinRegPower(N,B,A,sd,nrep), where N is a vector/list of sample sizes, B is the true slope, A is the true intercept, sd is the true standard deviation of the residuals, and nrep is the number of simulation replicates. The function should conduct simulations and then produce a plot of statistical power versus the sample sizes in N for the hypothesis test of whether the slope is different than zero. B and A can be vectors/lists of equal length. In this case, the plot should have separate lines for each pair of A and B values (A[1] with B[1], A[2] with B[2], etc). The function should produce an informative error message if A and B are not the same length. It should also give an informative error message if N only has a single value. Demonstrate your function with some sample plots. Find some cases where power varies from close to zero to…
Now, we'll instead use sklearn's train_test_split() function here to define our train and test set. Store train data (predictors) into MR_train_X and labels (outcomes) into MR_train_Y. Similarly, store test data into MR_test_X and test labels into MR_test_Y. In addition to providing the predictors (MR_X) and outcomes (MR_Y) to the function, we will use the following arguments for this task: test_size: 0.2 random_state: 200
There are procedures that can be used to ensure that atomic actions on a variable are carried out, which may be used to prevent simple race conditions. In the context of single- and multi-processor systems, what happens?
You are tasked with the development of an E-Scooter ride-sharesystem. It allows registered commuters to approach an idle E-Scooter andreserve it, following which they use the E-Scooter to commute a certaindistance (that is not known prior to use). Finally, after the commuter reachestheir destination, they end the ride, which prompts an automaticcomputation of the ride fees. which is automatically debited using thecommuters registered payment details.
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You are to create a well-formed Python recursive function (i.e, there must be a stopping/base case and the recursive case must present a smaller problem), along with a call to that function. You will then trace that function, showing how memory is used and provide any and all output. You then need to present a relationship, whose domain is some subset of the integers. Finally, you need to provide a prove that the relationship holds over the entire domain by using detailed Mathematical Induction prove. 1. You are to create a well-formed Python recursive function (i.e, there must be a stopping/base case and the recursive case must present a smaller problem), along with a call to that function. 2. Trace your function and call. Remember that you must keep track of memory for each function call and provide output. 3. Present a relationship with the domain some subset of the integers that is to be proven via Mathematical Induction. 4. Prove your relationship with the domain some subset…
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