An existence-uniqueness theorem is proved about a minimum cost order for a class of inventory models whose holding costs grow, following a power law, with the stock level. The theorem requires to perform a check of convergence of some improper integrals, and constitutes the article's main theoretical contribution to the subject. As application, several cases of demand are considered as functions of the stock level.

EOQ when holding costs grow with the stock level: well-posedness and solutions

MINGARI SCARPELLO, GIOVANNI;RITELLI, DANIELE
2008

Abstract

An existence-uniqueness theorem is proved about a minimum cost order for a class of inventory models whose holding costs grow, following a power law, with the stock level. The theorem requires to perform a check of convergence of some improper integrals, and constitutes the article's main theoretical contribution to the subject. As application, several cases of demand are considered as functions of the stock level.
G. Mingari Scarpello; D. Ritelli
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/62584
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