Abstract

In this paper, a newsboy model is developed under uniformly distributed lead-time and demand that is an appropriate assumption in obtaining optimal relief inventory of humanitarian disasters; there is limited historical data on relief operations. Analytical and approximation solutions of optimal relief order quantity are derived. The effect of lead-time uncertainty on the optimal solution is tested analytically. The approximation solution is demonstrated numerically and can accurately fit an analytical one once the variation coefficient of lead-time is low. The analytical results suggest that lead-time uncertainty may increase or decrease relief order quantity, which depends on the variation coefficient of lead-time.

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