The lot size problem and the learning curve : A review of mathematical modeling (1950’s -2020)

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Journal ISSN
Volume Title
A2 Katsausartikkeli tieteellisessä aikakauslehdessä
Degree programme
Applied Mathematical Modelling, Volume 105
The economic order/production quantity (EOQ/EPQ) model is the most celebrated and the first scientific treatment of inventory management. It has been a fundamental topic covered in all production and operations management textbooks and the edifice on which complex inventory and logistics models have been built. It has been extended in many ways to make it more representative of real situations and settings. One of these extensions, which is the focus of the paper, is learning in production, where inventory builds in a convex rather than a linear form. Starting from the seminal work of Keachie & Fontana (Management Science, 13(2), B-102, 1966), this paper reviews the mathematics of those papers that stemmed from that work in an attempt to provide almost a comprehensive but rather concise presentation of more than 50 years of mathematical modeling. It also provides numerical examples to illustrate the expected behavior when learning occurs in activities other than production (setups and quality). It concludes with some insights and suggestions for future research directions for those who continue to be interested in the topic.
Funding Information: The first author thanks the Natural Sciences and Engineering Research Council of Canada (NSERC) for their financial support. The authors thank the anonymous reviewers for their positive feedback and valuable comments. Publisher Copyright: © 2022
economic order/production quantity (EOQ/EPQ), forgetting, inventory management, Learning curves, lot sizing
Other note
Jaber, M Y, Peltokorpi, J & Smunt, T L 2022, ' The lot size problem and the learning curve : A review of mathematical modeling (1950’s -2020) ', Applied Mathematical Modelling, vol. 105, pp. 832-859 .