Economics & Sociology

ISSN: 2071-789X eISSN: 2306-3459 DOI: 10.14254/2071-789X
Index PUBMS: f5512f57-a601-11e7-8f0e-080027f4daa0
Article information
Title: Optimal Control over the Process of Innovative Product Diffusion: The Case of Sony Corporation
Issue: Vol. 11, No 3, 2018
Published date: 09-2018 (print) / 09-2018 (online)
Journal: Economics & Sociology
ISSN: 2071-789X, eISSN: 2306-3459
Authors: Viktor Oliinyk
Sumy State University

Olga Kozmenko
Kharkiv National University of Economics

Iryna Wiebe
Sony Europe Limited, ZND Deutschland

Serhiy Kozmenko
University of Customs and Finance, Dnipro, Ukraine
Keywords: innovation models, innovation management, forecasting, Bass model
DOI: 10.14254/2071-789X.2018/11-3/16
Index PUBMS: 886a72d7-ce11-11e8-92b1-901b0efa6e97
Language: English
Pages: 265-285 (21)
JEL classification: C53, E37, O31, O33, Q55

The article deals with the process of distribution of an innovative product using the Bass model. Numerical characteristics of the generalized Bass model are described. The function of external influence is suggested to be approximated by means of a regression equation with respect to the price function of the product under investigation, which is also a control function. The control process is based on a mathematical apparatus under the Pontryagin maximum principle. An algorithm for determining the optimal price of products in order to obtain the maximum balance profit of the corporation is given. Selected numerical results of the corporate strategy implementation for conquering the market in 2017-2020 are offered.


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