An existence-uniqueness theorem is proved about a minimum cost order for a class of inventory models whose holding costs grow according to a stock level power law. The outcomes of Mingari Scarpello and Ritelli (2008) [1] are then extended to different environments: i.e., when the holding costs change during time generalizing a model available in Weiss (1982) [11], or with invariable holding costs but adopting a backordering strategy. Application cases are provided assuming several functional behaviors of demand versus the stock level. © 2012 Elsevier Inc.
Mathematical properties of EOQ models with special cost structure
GAMBINI, Alessandro;RITELLI, Daniele
2013
Abstract
An existence-uniqueness theorem is proved about a minimum cost order for a class of inventory models whose holding costs grow according to a stock level power law. The outcomes of Mingari Scarpello and Ritelli (2008) [1] are then extended to different environments: i.e., when the holding costs change during time generalizing a model available in Weiss (1982) [11], or with invariable holding costs but adopting a backordering strategy. Application cases are provided assuming several functional behaviors of demand versus the stock level. © 2012 Elsevier Inc.File in questo prodotto:
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