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Mitigating variance amplification under stochastic lead-time: The proportional control approach
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A supply chain with stochastic lead-time and ARMA demand is considered.

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Exact expressions are obtained for the distributions of order and inventory.

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Under order crossover, the order-up-to policy does not minimize inventory variance.

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Inventory variance minimization by proportional policy also reduces bullwhip.

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This ability is compromised under some demand auto-correlation cases.

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