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

Piotr Hachuła; Ewa Schmeidel

doi:10.1515/foli-2016-0013

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.

References

Brown, R.G. (1959). Statistical Forecasting for Inventory Control. New York: McGraw-Hill.
Search in Google Scholar Back to article
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.
Search in Google Scholar Back to article
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: 10.1080/10236198.2016.1208188.10.1080/10236198.2016.1208188
Search in Google Scholar Back to article
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).
Search in Google Scholar Back to article
Krzyżaniak, S., Cyplik, P. (2008). Zapasy i magazynowanie, tom I – Zapasy. Poznań: Institute of Logistics and Warehousing.
Search in Google Scholar Back to article
Ma, J., Feng, Y. (2008). The Study of the Chaotic Behaviour in Retailer’s Demand Model. Discrete Dynamics in Nature and Society. DOI: 10.1155/2008/792031.10.1155/2008/792031
Search in Google Scholar Back to article
Metzlar, A. (1941). The nature and stability of inventory cycles. The Review of Economic Statistics, 3 (23), 113–129.10.2307/1927555
Search in Google Scholar Back to article
Nowakowska, L. (2015). Dynamic discrete model for electricity price forecasting, 5th International Youth Conference on Energy, 27–30 May 2015, Pisa. DOI: 10.1109/IYCE.2015.7180798.10.1109/IYCE.2015.7180798
Search in Google Scholar Back to article
Sarjusz-Wolski, Z. (2000). Sterowanie zapasem w przedsiębiorstwie. Warszawa: Polskie Wydawnictwo Ekonomiczne.
Search in Google Scholar Back to article
Wagner, H.M., Whitin, T.M. (1958). A dynamic version of the economic lot size model. Management Science, 10, 89–96.10.1287/mnsc.5.1.89
Search in Google Scholar Back to article

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

Abstract

Paradigm

My account