Derive the expected time a customer waits in the queue in an
M=G=1 queue in which...
Derive the expected time a customer waits in the queue in an
M=G=1 queue in which customers are served using the Last Come First
Served service discipline.
Consider an Erlang service system (M / Ek / 1) in which no queue
is allowed to form. Let n = the number of stages of service left in
the system, and let pn be the equilibrium probability of being in
state n.
(a) Write flow balance equations.
(b) Find an expression for pn, n = 0, 1, ..., k
(c) Find the probability of a busy system.
Discuss the relationship between the M/M/1 queue and the
situation described in problem 9 of homework 3.
What similarities are there between arrival processes in these
two examples?
What about similarities in service-time distribution?
Compute the stationary distribution of the Markov chain obtained
in problem 9 of homework 3 under the assumption that p < q.
Explain the significance of this assumption.
problem 9 of homework 3
Suppose customers can arrive to a service station at times n =
0,...
Derive the expression for the time averaged heating in the metal
in which AC current of frequency ω flows – use the expression for
the AC conductivity and P= ⋅EJ relation for instant power
1. A single-server queueing system has an average service time
of 16 minutes per customer, which is exponentially distributed. The
manager is thinking of converting to a system with a constant
service time of 16 minutes. The arrival rate will remain the same.
The effect will be to:
increase the utilization factor.
decrease the utilization factor.
decrease the average time in the system.
Increase the average time in the system.
not have any effect since the service time is unchanged....
WG
G
1
M
2
M
7
F
4
M
12
F
2
M
1
M
10
F
1
M
2
M
3
M
1
M
1
M
2
M
1
M
Assume that :
The first column is the weight gain of the people in the
quarantine in the first week in kilogram (WG) .
The second column is describing the gender whether
it was male or female (G) .
Q: Is there any statistical evidence that the...
1)The data below were collected for the following
reaction:
CH3Cl(g)+3Cl2(g)→CCl4(g)+3HCl(g)
[CH3Cl](M)
[Cl2](M)
Initial Rate (M/s)
0.050
0.050
0.014
0.100
0.050
0.029
0.100
0.100
0.041
0.200
0.200
0.115
A
Calculate the value of the rate constant, k.
Express your answer using two significant figures.
B
What is the overall order of the reaction?
Express your answer using two significant figures.
2)
t
(s)
[A]
(M)
ln[A]
1/[A]
0.00
0.500
−0.693
2.00
20.0
0.389
−0.944
2.57
40.0
0.303
−1.19
3.30
60.0
0.236...