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

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