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Abstract

The paper is concerned with the determination of explicit expressions for economic order quantities and reorder levels such that the cost of ordering and holding inventory is minimized for specific backorder constraints. Holding costs are applied either to inventory position or on-hand inventory, and the backorder constraint is considered in terms of the total number of backorders per year or the average number of backorders at any point in time. Through the substitution of a new probability density function in place of the normal p.d.f., explicit expressions are determined for the economic order quantities and the reorder points. The resulting economic order quantities are independent of all backorder constraints. It is also concluded that under certain conditions, the minimization of ordering costs and inventory holding costs (applied to inventory position), subject to a backorder constraint, is equivalent in terms of reorder levels to minimization of the safety level dollar investment subject to the same backorder constraint. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0700156

Entities

People

  • Richard C. Trepp
  • Victor J. Presutti Jr.

Tags

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Inventory
  • Investments
  • Mathematics
  • Probability
  • Probability Density Functions
  • Random Variables

Readers

  • Logistics and Supply Chain Management.
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.