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Supply Chain Management and Logistics
book

Supply Chain Management and Logistics

by Zhe Liang, Wanpracha Art Chaovalitwongse, Leyuan Shi
October 2018
Intermediate to advanced content levelIntermediate to advanced
288 pages
9h 1m
English
CRC Press
Content preview from Supply Chain Management and Logistics
227A Game of Competitive Investment
where
N(k, b) = 2(k − 1)
2
b
3
+ 6k(k − 1) ∙ b
2
+ k(3k − 1) ∙ bk
2
, (8.81)
and
D(k, b) = 2 ∙ (kbb + k)
3
. (8.82)
From Equation 8.35, we have, when treating A
n
as a function of n, γ, and α,
−⋅
A
n
n
n
nA
nn
nn
=
(4 3)
8
=
(4 3)
2
2
42
αγ
. (8.83)
In view of Q(A
n
, B
n
) = 0, this leads to
−⋅+
−⋅
A
n
nB
nnB
nn
n
=
(4 3) (1 )
(2 )
3
2
. (8.84)
Combining the preceding while treating C
n
as a function of n, γ, and α, we
obtain
∂∂∂∂ +∂
×
CnGkbk Gkbb
nknb B
n
knbB
n
// /=(,) (,)
=,==,=
||
*
//dw adaAnn
BB
J
wa B
n
nn
n
() =( 1) (1 )
(
()=
|
*
×∂ ∂−−⋅ ⋅+
nnB nnnBBn B
nnnn
,)[(2 )( )(21)],
23
/ −⋅ −+ ⋅−
(8.85)
where
J(k, b) = 3b
3
b(1 + 9b(1 + b)) ∙ k + (1 + b)(8 ...
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Publisher Resources

ISBN: 9781466577886