ISYE 6644 (Simulation) Midterm 1 Exam Questions Wit
./ ./ ./ ./ ./ ./ ./
h Correct Answers
./ ./
What./is./simulation./(M1L3)?./-./correct./answer./ Imitation./of./a./real-
world./process./or./system./over./time.
What./is./a./model./(M1L3)?./-./correct./answer./ High-
level./representations./of./the./operation./of./a./real-word./process./or./system.
Is./the./following./a./discrete./or./continuous./model:
1./customer./shows./up./and./waits./in./line,./and./then./another,./and./so./on./(M1L3)../-
./correct./answer./ Discrete./model
Is./the./following./a./discrete./or./continuous./model:
An./hourly./weather./prediction./for./precipitation./over./time./(M1L3)../-
./correct./answer./ Continuous./model
Is./the./following./a./stochastic./or./deterministic./model:
Calls./that./randomly./arrive./at./a./call./center./(M1L3)../-./correct./answer./ Stochastic./model
Is./the./following./a./stochastic./or./deterministic./model:
Predicting./the./voltage./if./we./know./the./current./and./resistance./in./a./circuit./(M1L3)../-
./correct./answer./ Deterministic./model
What./does./it./mean./for./a./model./to./be./dynamic./vs../static./(M1L3)?./-
./correct./answer./ Dynamic./models./have./changing./relationships./between./variables./over./time
../In./static./models,./the./relationships./between./variables./are./fixed./(e.g.,./V./=./IR).
What./are./the./three./methods./to./"solve"./a./model:./from./easiest./to./hardest./(M1L3)?./-
./correct./answer./ 1../Analytical./(exact)
2../Numerical./methods./(approximate)
3../Simulation./methods./(approx../with./randomness)
, In./the./1940s,./who./used./early./computers./to./simulate./thermonuclear./chain./reactions./as./part./of./the./
Manhattan./project./(also./had./a./role./in./the./foundations./of./Monte./Carlo./methods)(M1L4).
a)./William./Gossett,./aka./-./"Student"
b)./Harry./Markowitz
c)./Comte./de./Buffon./
d)./Ulam,./Metropolis,./and./von./Neumann
e)./Justin./Bieber./-./correct./answer./ ---d)./correct./answer---
a)./Student's./t-test,./analytical./techniques./for./Guinness./Beer.
b)./Nobel./in./Econ./for./optimiz../of./financial./portfolios,./invented./Sim./Script./language.
c)./Dropping./needles./between./parallel./lines./and./estimating./pi
e)./shouldn't./be./on./this./list./:)
Surveillance./applications./of./simulation./(such./as./-
./"is./a./disease./spreading?")./rely./on./sequential./hypothesis./tests./over./time../Describe./how./sequenti
al./hypothesis./tests./are./used./with./simulation./(M1L5)?./-
./correct./answer./ 1../Come./up./with./the./null./hypoth./(e.g.,./disease./is./not./spreading./with./time).
2../Use./sim./to./approximate./the./probability./distr./of./null./hypothesis.
3../If./actual./samples./collected./cast./doubt./on./the./distr./for./null./hypothesis,./reject./it,./and./say./that./the./
disease./is./spreading.
Graphically,./what./is./an./indication./that./your./pseudorandom./number./generator./is./"no./good"./(M1L7
)../-./correct./answer./ Example./was./graphing./two./"random./variates"./in./the./x-
y./plane./that./were./generated./from./uniform./distributions./transformed./into./normal./distr./(Box./Muller./
Method)../If./a./pattern./in./the./graph./appears,./this./is./"bad."./You./expect./lots./of./random./points./cluster
ed./around./the./center./that./spread./out./evenly./in./all./directions./from./the./center../Spiral./patterns./=./no./
good.
In./Queuing./models,./what./does./each./part./of./the./Kendall./notation./mean:./A/B/C./(general./version)./a
pplied./to./a./M/M/1./(a./specific./version)(M1L7)?./-./correct./answer./ A./=./Distrib./of./arrival./times
B./=./Distrib../of./service./times
C./=./#./of./servers./in./the./system
./ ./ ./ ./ ./ ./ ./
h Correct Answers
./ ./
What./is./simulation./(M1L3)?./-./correct./answer./ Imitation./of./a./real-
world./process./or./system./over./time.
What./is./a./model./(M1L3)?./-./correct./answer./ High-
level./representations./of./the./operation./of./a./real-word./process./or./system.
Is./the./following./a./discrete./or./continuous./model:
1./customer./shows./up./and./waits./in./line,./and./then./another,./and./so./on./(M1L3)../-
./correct./answer./ Discrete./model
Is./the./following./a./discrete./or./continuous./model:
An./hourly./weather./prediction./for./precipitation./over./time./(M1L3)../-
./correct./answer./ Continuous./model
Is./the./following./a./stochastic./or./deterministic./model:
Calls./that./randomly./arrive./at./a./call./center./(M1L3)../-./correct./answer./ Stochastic./model
Is./the./following./a./stochastic./or./deterministic./model:
Predicting./the./voltage./if./we./know./the./current./and./resistance./in./a./circuit./(M1L3)../-
./correct./answer./ Deterministic./model
What./does./it./mean./for./a./model./to./be./dynamic./vs../static./(M1L3)?./-
./correct./answer./ Dynamic./models./have./changing./relationships./between./variables./over./time
../In./static./models,./the./relationships./between./variables./are./fixed./(e.g.,./V./=./IR).
What./are./the./three./methods./to./"solve"./a./model:./from./easiest./to./hardest./(M1L3)?./-
./correct./answer./ 1../Analytical./(exact)
2../Numerical./methods./(approximate)
3../Simulation./methods./(approx../with./randomness)
, In./the./1940s,./who./used./early./computers./to./simulate./thermonuclear./chain./reactions./as./part./of./the./
Manhattan./project./(also./had./a./role./in./the./foundations./of./Monte./Carlo./methods)(M1L4).
a)./William./Gossett,./aka./-./"Student"
b)./Harry./Markowitz
c)./Comte./de./Buffon./
d)./Ulam,./Metropolis,./and./von./Neumann
e)./Justin./Bieber./-./correct./answer./ ---d)./correct./answer---
a)./Student's./t-test,./analytical./techniques./for./Guinness./Beer.
b)./Nobel./in./Econ./for./optimiz../of./financial./portfolios,./invented./Sim./Script./language.
c)./Dropping./needles./between./parallel./lines./and./estimating./pi
e)./shouldn't./be./on./this./list./:)
Surveillance./applications./of./simulation./(such./as./-
./"is./a./disease./spreading?")./rely./on./sequential./hypothesis./tests./over./time../Describe./how./sequenti
al./hypothesis./tests./are./used./with./simulation./(M1L5)?./-
./correct./answer./ 1../Come./up./with./the./null./hypoth./(e.g.,./disease./is./not./spreading./with./time).
2../Use./sim./to./approximate./the./probability./distr./of./null./hypothesis.
3../If./actual./samples./collected./cast./doubt./on./the./distr./for./null./hypothesis,./reject./it,./and./say./that./the./
disease./is./spreading.
Graphically,./what./is./an./indication./that./your./pseudorandom./number./generator./is./"no./good"./(M1L7
)../-./correct./answer./ Example./was./graphing./two./"random./variates"./in./the./x-
y./plane./that./were./generated./from./uniform./distributions./transformed./into./normal./distr./(Box./Muller./
Method)../If./a./pattern./in./the./graph./appears,./this./is./"bad."./You./expect./lots./of./random./points./cluster
ed./around./the./center./that./spread./out./evenly./in./all./directions./from./the./center../Spiral./patterns./=./no./
good.
In./Queuing./models,./what./does./each./part./of./the./Kendall./notation./mean:./A/B/C./(general./version)./a
pplied./to./a./M/M/1./(a./specific./version)(M1L7)?./-./correct./answer./ A./=./Distrib./of./arrival./times
B./=./Distrib../of./service./times
C./=./#./of./servers./in./the./system
