The control limits of an exponentially weighted moving average (EWMA) control chart should vary with time, approaching asymptotic limits as time increases. However, previous analytic analyses of EWMA charts consider only asymptotic control limits. In this article, the run length properties of EWMAs with time-varying control limits are approximated using nonhomogeneous Markov chains. Comparing t...

This paper shows how to allocate a limited supply of inventory in a centralized distribution system with multiple retailers subject to minimal supply commitments and maximum delivery limits for each retailer. The objective is to maximize the number of units sold by all retailers in one time period. The analysis is done by building on a classical result of Derman. The demand at each retailer is ...