COM 5320 Queueing Theory, Final Examination, Spring 2011
1) (5%) Show that Poisson arrivals implies exponential inter-arrival times.
2) (5%) Prove that if X is exponentially distributed, then X is memoryless.
3) (5%) Draw the statetransition diagram for t

Econ 3161 Public Finance (I), Fall 2016
Professor Hui-chen Wang
2016-10-_
Student Name: _
Student ID: _
Quiz 1
Answer ONE of the following two questions. For the question you have chosen, indicate whether the
statements is true, false, or uncertain and EX

Econ 3161 Public Finance (I), Fall 2016
Professor Hui-chen Wang
2016-10-26
Student Name: _
Student ID: _
Quiz 2 Answer Key
Answer ONE of the following two questions. For the question you have chosen, indicate whether the statements
is true, false, or unce

Econ 3161 Public Finance (I), Fall 2016
Professor Hui-chen Wang
2017-1-4
Student Name: _
Student ID: _
Quiz 4 Answer Key
Answer ONE of the following two questions. For the question you have chosen, indicate whether the statements
is true, false, or uncert

CSSSSl Queueing Theory. Midterm Examination l , Fall EDDIE
" ll (10% Show Ihat Poisson arrivals implies exponential interarrival times.
' '2 II. ll'i] Prove that if X is exponentially distributed. then X is memoryless.
3 Consider the homogeneous Markov ch

Queueing Theory. Midtenn Examination I. Fall lll
Ii iiiiri Show that Poisson arrivals implies exponential interanival times.
I [ tilt-iii Prove that if .t' is eaponentialiy distributed. then X is ntcrnoryiess.
3 Consider an MM: queue with pat-anaemia J. a

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Queueing Theory, Midterm Examination 1, Fall 2013
5% Show that Poisson arrivals im lies exponential interarrival times.
P
/2) 5%) Prove that if X is exponentially distributed, then X is memoryless.
Consider the homogeneous discrete-parameter Ma

cfw_235531 Queueing Theory, Midterm Examinatien 1 ,Fall 2th]?
cfw_ii/26%] Suppose that an With queue that is able to aeeamntedate at most i: customers Let the
aftbahiiity that the queue has i: enstamers tie be ill. Let h = tr 2 l. and L = 5. Find ht. We i

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Queueing Theory, Midterm Examination 2, Fall 2013 1;) ' 71
Wbonsider a birth-death process with the following transition rates: P : X [70
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= _ z . ,_, .3 > :L
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Econ 3161 Public Finance (I), Fall 2016
Professor Hui-chen Wang
2016-12-14
Student Name: _
Student ID: _
Quiz 3 Answer Key
Answer ONE of the following two questions. For the question you have chosen, indicate whether the statements
is true, false, or unce