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Determination of Optimal Shipping Quantity for Perishable Goods under Probabilistic Supply

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  • Si-Yeong Lim
  • Sun Hur

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.

Suggested Citation

  • Si-Yeong Lim & Sun Hur, 2015. "Determination of Optimal Shipping Quantity for Perishable Goods under Probabilistic Supply," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, December.
    • Handle: RePEc:hin:jnlmpe:274713
    DOI: 10.1155/2015/274713
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