The rippled newsvendor: A new inventory framework for modeling supply chain risk severity in the presence of risk propagation

. 2020 Apr 3;228:107752. doi: 10.1016/j.ijpe.2020.107752

$P (R_{1} = 1 \| E_{1}, R_{2}, V_{2})$
$E_{1}$	$R_{2}$	$V_{2}$
0	0	0	$p_{r} (P_{1}) + g (P_{1}, P_{2}, I_{2}) - p_{r} (P_{1}) g (P_{1}, P_{2}, I_{2})$
0	0	1	$p_{r} (P_{1}) + g (P_{1}, P_{2}, 0) - p_{r} (P_{1}) g (P_{1}, P_{2}, 0)$
0	1	0	$p_{r} (P_{1}) + g (P_{1}, I_{2}, 0) - p_{r} (P_{1}) g (P_{1}, I_{2}, 0)$
0	1	1	$1$
1	0	0	$p_{e} + p_{r} (P_{1}) + g (P_{1}, P_{2}, I_{2}) - p_{e} p_{r} (P_{1}) - p_{r} (P_{1}) g (P_{1}, P_{2}, I_{2}) - p_{e} g (P_{1}, P_{2}, I_{2}) + p_{e} p_{r} (P_{1}) g (P_{1}, P_{2}, I_{2})$
1	0	1	$p_{e} + p_{r} (P_{1}) + g (P_{1}, P_{2}, 0) - p_{e} p_{r} (P_{1}) - p_{r} (P_{1}) g (P_{1}, P_{2}, 0) - p_{e} g (P_{1}, P_{2}, 0) + p_{e} p_{r} (P_{1}) g (P_{1}, P_{2}, 0)$
1	1	0	$p_{e} + p_{r} (P_{1}) + g (P_{1}, 0, I_{2}) - p_{e} p_{r} (P_{1}) - p_{r} (P_{1}) g (P_{1}, 0, I_{2}) - p_{e} g (P_{1}, 0, I_{2}) + p_{e} p_{r} (P_{1}) g (P_{1}, 0, I_{2})$
1	1	1	$1$