ISYE 6644 Simulation Review Questions
Module 1
Inscribe a circle in a unit square and toss 1000 random darts at the rectangular. Suppose that
800 of those darts land inside the circle. Using the generation developed on this lesson, what's
the ensuing estimate for π ? - ANS-three.2 Since the estimate 𝜋̂ = 4 x (share in circle). Note that
(a) is the University of Georgia solution, and is absolutely wrong.
Let's simulate a bank that closes at four:30 p.M. What type of simulation method could you are
taking? - ANS-Terminating Simulation
Suppose customers to a barber save show up at instances four and 11. Moreover, assume that
it takes the barber 12 mins to serve purchaser 1 and then 14 minutes to serve patron 2. When
does client 2 leave the barber? - ANS-30 Since customer 2's provider starts simplest while
patron 1 leaves, which happens at time 4 + 12 = sixteen.
Suppose that we generate a pseudo-random quantity U = 0.728. Use this to generate an
Exponential ( λ = three ) random variate. - ANS-0.106 -(1/lambda)ln(U)
Suppose there are forty random humans in a room. What is the chance that at the least of them
can have the same birthday? - ANS-Somewhat extra than 1/2. In fact, you only want 23 people
in the room to acquire a chance of 1/2
Suppose we're the use of the (terrible) pseudo-random wide variety generator X i = ( five X i − 1
+ 3 ) m o d ( 8 ) with beginning cost ("seed") X 0 = 1. Find the second PRN, U 2 = X 2 / m = X 2
/ 8. - ANS-3/8
TRUE or FALSE? All random wide variety turbines carry out quite an awful lot the same. -
ANS-False In truth, one of the motives that you're taking this direction is to help you examine
the differences between appropriate and terrible generators.
TRUE or FALSE? Simulation outputs such as consecutive customer ready times are almost
continually impartial and identically allotted regular random variables. - ANS-False outputs are
nearly neveri.I.D
We are inquisitive about modeling the arrival and carrier procedure at the local McBurger Queen
burger joint. Customers are available every from time to time, stand in line, sooner or later get
served, and off they move. Generally speaking, what kind of model are we speaking
approximately right here? (More than one answer below may be proper.) - ANS-Discrete (due to
Module 1
Inscribe a circle in a unit square and toss 1000 random darts at the rectangular. Suppose that
800 of those darts land inside the circle. Using the generation developed on this lesson, what's
the ensuing estimate for π ? - ANS-three.2 Since the estimate 𝜋̂ = 4 x (share in circle). Note that
(a) is the University of Georgia solution, and is absolutely wrong.
Let's simulate a bank that closes at four:30 p.M. What type of simulation method could you are
taking? - ANS-Terminating Simulation
Suppose customers to a barber save show up at instances four and 11. Moreover, assume that
it takes the barber 12 mins to serve purchaser 1 and then 14 minutes to serve patron 2. When
does client 2 leave the barber? - ANS-30 Since customer 2's provider starts simplest while
patron 1 leaves, which happens at time 4 + 12 = sixteen.
Suppose that we generate a pseudo-random quantity U = 0.728. Use this to generate an
Exponential ( λ = three ) random variate. - ANS-0.106 -(1/lambda)ln(U)
Suppose there are forty random humans in a room. What is the chance that at the least of them
can have the same birthday? - ANS-Somewhat extra than 1/2. In fact, you only want 23 people
in the room to acquire a chance of 1/2
Suppose we're the use of the (terrible) pseudo-random wide variety generator X i = ( five X i − 1
+ 3 ) m o d ( 8 ) with beginning cost ("seed") X 0 = 1. Find the second PRN, U 2 = X 2 / m = X 2
/ 8. - ANS-3/8
TRUE or FALSE? All random wide variety turbines carry out quite an awful lot the same. -
ANS-False In truth, one of the motives that you're taking this direction is to help you examine
the differences between appropriate and terrible generators.
TRUE or FALSE? Simulation outputs such as consecutive customer ready times are almost
continually impartial and identically allotted regular random variables. - ANS-False outputs are
nearly neveri.I.D
We are inquisitive about modeling the arrival and carrier procedure at the local McBurger Queen
burger joint. Customers are available every from time to time, stand in line, sooner or later get
served, and off they move. Generally speaking, what kind of model are we speaking
approximately right here? (More than one answer below may be proper.) - ANS-Discrete (due to
