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Final

[MGOC10] ExamAidSheet.doc


Department
Management (MGO)
Course Code
MGOC10H3
Professor
Vinh Quan
Study Guide
Final

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MGTOC10 Analysis for Decision Making
Final Exam Aid Sheet
!
][ x
e
xP
x
λ
λ
=
,
t
etP
µ
=
1] timeservice[
L = λW, Lq = λWq, W = Wq + 1/μ, L = Lq + λ/μ
(M/M/1) : (FCFS/∞/∞) model
µ
λ
µλ
µλ
=
==
=
1
/1
1
1
)/(
1
0
0
n
n
P
,
0
PP
n
n
=
µ
λ
,
)(
1)1()1(
2
11
λµµ
λ
µ
λ
µ
λ
=
==
=
=
n
n
n
nq
nPnL
Wq = Lq/λ, W = Wq + 1/μ, L = Lq + λ/μ, Pw = 1- P0 = λ/µ
(M/M/k) : (FCFS/∞/∞) Model
+
=
=
λµ
µ
µλµλ
k
k
kn
P
kk
n
n
!
)/(
!
)/(
1
1
0
0
,
>
=
kP
kk
kP
n
P
kn
n
n
n
n
!
)/(
n0
!
)/(
0
0
µλ
µλ
,
0
2
)()!1(
)()/( P
kk
L
k
q
λµ
λµµλ
=
µλ
/
+=
q
LL
,
,
λ
q
q
L
W
=
,
0
!
)/( P
k
k
k
P
k
w
=
λµ
µ
µλ
(M/G/1) : (FCFS/∞/∞)
µλ
/1
0
=
P
,
)/1(2
)/(
222
µλ
µλσλ
+
=
q
L
Pw = 1- P0 = λ/µ, L = Lq + λ/μ, Wq = Lq/λ, W = Wq + 1/μ
If: (M/D/1) : (FCFS/∞/∞) then
)/1(2
)/(
2
µλ
µλ
=
q
L
(M/G/k) : (FCFS/k/∞)
1
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