. Random walkers. Write a program RandomWalkers.java that takes two integer command-line arguments r and trials. In each of trials independent experiments, simulate a random walk until the random walker is at Manhattan distance r from the starting point. Print the average number of steps. -/Desktop/loops> java Randomwlalkers 5 1000000 average number of steps = 14.98188 -/Desktop/loops> java Randomwalkers 5 1000000 average number of steps = 14.93918 -/Desktop/loops> java Randomwalkers 10 100000 i = average number of steps = 59.37386 -/Desktop/loops> java Randomwalkers 20 100000 average number of steps = 235.6288 %3D -/Desktop/loops> java Randomwalkers 40 100000 average number of steps - 949.14712 -/Desktop/loops> java Randomwalkers 80 100000 average number of steps - 3775.7152 -/Desktop/loops> java Randomwalkers 160 100000 average number of steps ▪ 15113.61108
. Random walkers. Write a program RandomWalkers.java that takes two integer command-line arguments r and trials. In each of trials independent experiments, simulate a random walk until the random walker is at Manhattan distance r from the starting point. Print the average number of steps. -/Desktop/loops> java Randomwlalkers 5 1000000 average number of steps = 14.98188 -/Desktop/loops> java Randomwalkers 5 1000000 average number of steps = 14.93918 -/Desktop/loops> java Randomwalkers 10 100000 i = average number of steps = 59.37386 -/Desktop/loops> java Randomwalkers 20 100000 average number of steps = 235.6288 %3D -/Desktop/loops> java Randomwalkers 40 100000 average number of steps - 949.14712 -/Desktop/loops> java Randomwalkers 80 100000 average number of steps - 3775.7152 -/Desktop/loops> java Randomwalkers 160 100000 average number of steps ▪ 15113.61108
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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10:08
••.
4. Random walkers. Write a program
RandomWalkers.java that takes two
integer command-line arguments r
and trials. In each of trials
independent experiments, simulate
a random walk until the random
walker is at Manhattan distance r
from the starting point. Print the
average number of steps.
-/Desktop/loops> java Randomwalkers 5 1000000
average number of steps = 14.98188
-/Desktop/loops> java Randomlalkers 5 1000000
average number of steps = 14.93918
-/Desktop/loops> java Randomlalkers 10 100000
average number of steps = 59.37386
-/Desktop/loops> java Randomlalkers 20 100000
average number of steps = 235.6288
-/Desktop/loops> java Randomwalkers 40 100000
average number of steps = 949.14712
-/Desktop/loops> java Randomwalkers 80 100000
average number of steps = 3775.7152
-/Desktop/loops> java Randomwalkers 160 100000
average number of steps = 15113.61108
As r increases, we expect the
random walker to take more and
more steps. But how many more
steps? Use RandomWalkers.java to
formulate a hypothesis as to how
the average number of steps grows
as a function of r.
Estimating an unknown quantity by
generating random samples and
aggregating the results is an example
of Monte Carlo simulation–a
powerful computational technique
that is used widely in statistical
physics, computational finance, and
сотрuter graphics.
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