The Model of Demand and Inventory in a Decline Phase of the Product Life Cycle

Author:

Hachuła Piotr1,Schmeidel Ewa2

Affiliation:

1. Institute of Logistics and Warehousing, Logistics Expertise Department, Estkowskiego 6, 61-755 Poznań, Poland

2. University of Białystok, Institute of Mathematics, Ciołkowskiego 1M, 15-245 Białystok, Poland

Abstract

Abstract In the paper, the mathematical model of demand and inventory is studied from the perspective of its applications in real business cases. The model is formulated with three difference equations of first order. Three scenarios focused on the last phase of the product life cycle, a decline, are investigated and commented upon.

Publisher

Walter de Gruyter GmbH

Reference10 articles.

1. Brown, R.G. (1959). Statistical Forecasting for Inventory Control. New York: McGraw-Hill.

2. Hachuła, P., Schmeidel, E. (2015). Stability Analysis of Demand-Inventory Modeling a Certain Business Case, in Transcom Proceedings, 22–24 June 2015 (CD), University of Zilina.

3. Hachuła, P., Nockowska-Rosiak, M., Schmeidel, E. (2016). Stability of Equilibrium Points of Demand-Inventory Model with Stock-Dependent Demand. Journal of Difference Equations and Applications. DOI: 10.1080/10236198.2016.1208188.

4. Iskra, E., Woźniak, K. (2014). Cykl życia produktu. Encyklopedia zarządzania. Available at: http://mfiles.pl/pl/index.php/Cykl_zycia_produktu (access: 18.08.2015).

5. Krzyżaniak, S., Cyplik, P. (2008). Zapasy i magazynowanie, tom I – Zapasy. Poznań: Institute of Logistics and Warehousing.

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