Optimal multiple delivery schedule for demand in logistic model

Traditional analysis for determining inventory levels assumes constant or normally distributed demand over the period of analysis, which is not suitable for products of short life-cycles as commonly found in fashion-related products. This paper utilizes a logistic growth function and a logistic substitution function to model the growth, saturation, and decline of such products with varying yet dependent demands. A heuristic that finds the minimum cost single-order multiple deliveries schedule for the logistic demand is developed to facilitate the use of the logistic model.