Determination of Optimal Shipping Quantity for Perishable Goods under Probabilistic Supply. (28th December 2015)

• Record Type: Journal Article
• Authors: Lim, Si-Yeong; Hur, Sun
• Other Names: Wu Jei-Zheng Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-12-28
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/274713
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The problems of shipping and transporting perishable goods are commonly considered in the literature as significant topics, but rarely did researchers adopt a probabilistic point of view in their models. It is common in SCM environments that the participating entities' behaviors are random and unpredictable and so can only be modeled in a probabilistic way. In this paper, we consider the shipping problem of determining the optimal quantity of perishable products with a limited time to be stored in the warehouse. The optimal quantity minimizes the overall operational costs including those of inventory and shipping. We develop a mathematical model, from which the probability distribution function, mean, and variance of the length of the build-up period are derived and we establish a cost function for determining the optimal shipping value.