An easy method to derive EOQ and EPQ inventory models with backorders

DOI10.1016/j.camwa.2009.09.013zbMath1189.90009OpenAlexW2093514638MaRDI QIDQ980293

Leopoldo Eduardo Cárdenas-Barrón

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11285/630326

zbMATH Keywords

economic production quantityeconomic order quantityalgebraic optimizationarithmetic-geometric mean (AGM) inequalitybackorders levelCauchy-Bunyakovsky-Schwarz (CBS) inequalitycost comparisons optimization

Mathematics Subject Classification ID

Production models (90B30) Inventory, storage, reservoirs (90B05)

Related Items (13)

Using easy methods to derive an integrated vendor-buyer inventory system under shortage allowed ⋮ Using simple methods to derive EOQ and EPQ models with shortage and imperfect quality ⋮ Mathematical properties of EOQ models with special cost structure ⋮ The economic lot size of the integrated vendor-buyer inventory system derived without derivatives: a simple derivation ⋮ Economic order quantity model for deteriorating items with planned backorder level ⋮ Solving the consumer's utility-maximization problem with CES and Cobb-Douglas utility function via mathematical inequalities ⋮ Solving the vendor-buyer integrated inventory system with arithmetic-geometric inequality ⋮ The derivation of EOQ/EPQ inventory models with two backorders costs using analytic geometry and algebra ⋮ Revisiting lot sizing for an inventory system with product recovery ⋮ An alternative approach to solving cost minimization problem with Cobb-Douglas technology ⋮ Mitigating partial-disruption risk: a joint facility location and inventory model considering customers' preferences and the role of substitute products and backorder offers ⋮ Optimization of inventory system with defects, rework failure and two types of errors under crisp and fuzzy approach ⋮ Optimal economic order quantity for buyer–distributor–vendor supply chain with backlogging derived without derivatives

Cites Work

• A modified method to compute economic order quantities without derivatives by cost-difference comparisons
• A simple method to compute economic order quantities
• Optimizing the economic lot size of a three-stage supply chain with backordering derived without derivatives
• A note on optimal replenishment policy for imperfect quality EMQ model with rework and backlogging
• A proof of the EOQ formula using quasi-variational inequalities
• The economic lot size of the integrated vendor‐buyer inventory system derived without derivatives
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