SimRisk: An Integrated Open-Source Tool for Agent-Based ...

s a
s b
u a1 /d a1
w11 a w11
b u w12 a w11
b b1 /d b1 u a1 /d a1 u b1 /d b1
w21 a w21
b u b2 /d b2
u w22 a w22
b u b2 /d b2
w23 a w23
b u b2 /d b2
w24 a w24
b a2 /d a2
u a2 /d a2
u a2 /d a2
u a2 /d a2
u b2 /d b2
r 1 r 2 r 3 r 4 r 5 r 6 r 7 r 8 r 9 r 10 r 11 r 12 r 13 r 14 r 15 r 16
(a) Two supply chains operated separately by companies A and B
s a
s b
u a1 /d a1
w11 a w11
b u w12 a w11
b b1 /d b1 u a1 /d a1 u b1 /d b1
w21 a w21
b u b2 /d b2
u w22 a w22
b u b2 /d b2
w23 a w23
b u b2 /d b2
w24 a w24
b a2 /d a2
u a2 /d a2
u a2 /d a2
u a2 /d a2
u b2 /d b2
r 1 r 2 r 3 r 4 r 5 r 6 r 7 r 8 r 9 r 10 r 11 r 12 r 13 r 14 r 15 r 16
(b) A consolidated supply chain with product pooling.
Figure 1: Supply chain configurations before and after a merger. d qi and u qi are the failure and
recovery rates of a level-i warehouse operated by q ∈ {a, b} [Tan and Xu, 2009a].
L-2 Cross-Warehouse
L-1 Cross-Warehouse
Product pooling
Improvement
10 4.0
10 3.0
10 2.0
10 1.0
10 0.0
10 -1.0
10 3.5
10 3.0
10 2.5
10 2.0
10 1.5
10 1.0
10 0.5
10 0.0
10 -0.5
0
0.1
0.2
0.3
0.4
0.5
0.6
Stability of network A
0.7
0.8
0.9
1
0.9
0.8
0.7
0.6
0.5
0.4 Stability of network B
0.3
0.2
0.1
1 0
Figure 2: Improvement of probability of on-time delivery with different supply-chain consolidation
strategies.
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