Mathematical analytic techniques and the complete squares method for solving an inventory modelling problem with a mixture of backorders and lost sales

DOI10.1007/s13398-019-00764-8zbMath1432.90012OpenAlexW2995645320MaRDI QIDQ2289385

Shy-Der Lin, Jui-Jung Liao, Kun-Jen Chung, Sheng-Tu Chuang, Hari M. Srivastava

Publication date: 28 January 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00764-8

zbMATH Keywords

lost salesbackordersinventory modellingeconomic order quantity (EOQ)economic production quantity (EPQ)analytic casescomplete squares methoddifferentiability and convexitymathematical analytic techniques of calculusnon-convex cost function

Mathematics Subject Classification ID

Production models (90B30) Microeconomic theory (price theory and economic markets) (91B24) Inventory, storage, reservoirs (90B05) One-variable calculus (26A06)

Related Items (2)

The impact of system deterioration and product warranty on optimal lot sizing with maintenance and shortages backordered ⋮ Optimizing price, lot size and backordering level for products with imperfect quality, different holding costs and non-linear demand

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