Logistic Function as a Tool of Planning

• Autorzy: Grzegorz Rządkowski , Iwona Głażewska , Katarzyna Sawińska
• Języki publikacji: EN

Abstrakty

EN

In the present paper, we propose a new approach to investigate the logistic function, which is commonly used in mathematical models in economics and management. The approach is based on indicating in a given time series, having a logistic trend, some characteristic points corresponding to zeroes of successive derivatives of the logistic function. We also give examples of application of this method. (original abstract)

Słowa kluczowe

EN

Logistic functions; Logistic models

PL

Funkcje logistyki; Modele logistyczne

• Czasopismo: Foundations of Management
• Rocznik: 2014
• Tom: 6
• Numer: nr 1
• Strony: 57--70

Twórcy

autor

Grzegorz Rządkowski

• Warsaw University of Technology, Poland

autor

Iwona Głażewska

• Warsaw University of Technology, Poland

autor

Katarzyna Sawińska

• Warsaw University of Technology, Poland

Bibliografia

• Franssens G.R. - Functions with derivatives given by polynomials in the function itself or a related function [in] Analysis Mathematica 33(2007), pp. 17-36.
• Graham R.L., Knuth D.E., Patashnik O. - Concrete Mathematics: A Foundation for Computer Science, Reading MA: Addison Wesley, 1994.
• Junseok Hwang, Youngsang Cho, Nguyen Viet Long - Investigation of factors affecting the diffusion of mobile telephone services: An empirical analysis for Vietnam [in] Telecommunications Policy 33 (2009), pp. 534-543.
• Meade N., Islam T. - Modelling and forecasting the diffusion of innovation - A 25-year review [in] International Journal of Forecasting, 22 (2006), pp. 519-545.
• Michalakelis C., Sphicopoulos T. - A population dependent diffusion model with a stochastic extension [in] International Journal of Forecasting 28 (2012), pp. 587-606.
• Rządkowski G. - Eulerian numbers and Riccati's differential equation (eds. T.E. Simos) Proceedings of ICNAAM 2006, Wiley-VCH Verlag (2006), pp. 291-294.
• Rządkowski G. - Derivatives and Eulerian Numbers [in] Amer. Math. Monthly 115 (2008), pp. 458-460.
• Rządkowski G. - On a family of polynomials [in] The Mathematical Gazette, 518 (2006), pp. 283-286.
• Lixian Qian, Didier Soopramanien - Using diffusion models to forecast market size in emerging markets with applications to the Chinese car market [in]press Journal of Business Research, 2013.
• Feng-Shang Wu, Wen-Lin Chu - Diffusion models of mobile telephony [in] Journal of Business Research, 63 (2010), pp. 497-501.
• Yamakawa P., Rees G.H., Salas J.M., Alva N. - The diffusion of mobile telephones: An empirical analysis for Peru [in] Telecommunications Policy, 37 (2013), pp. 594-606.

Identyfikatory

DOI

10.1515/fman-2015-0004