Journal of Scientific Papers


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ISSN 2071-789X

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  • General Founder and Publisher:

    Centre of Sociological Research


  • Publishing Partners:

    University of Szczecin (Poland)

    Széchenyi István University, (Hungary)

    Mykolas Romeris University (Lithuania)

    Alexander Dubcek University of Trencín (Slovak Republic)

  • Membership:

    American Sociological Association

    European Sociological Association

    World Economics Association (WEA)




Optimal Control over the Process of Innovative Product Diffusion: The Case of Sony Corporation

Vol. 11, No 3, 2018

Viktor Oliinyk,


Sumy State University,

Sumy, Ukraine,


Optimal Control over the Process of Innovative Product Diffusion: The Case of Sony Corporation


Olga Kozmenko,


Kharkiv National University of Economics, 

Kharkiv, Ukraine,


Iryna Wiebe,


Sony Europe Limited, ZND Deutschland, 

Stuttgart, Germany, 


Serhiy Kozmenko,


University of Customs and Finance, 

Dnipro, Ukraine,




Abstract. 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.


Received: February, 2018

1st Revision: May, 2018

Accepted: August, 2018


DOI: 10.14254/2071-789X.2018/11-3/16

JEL ClassificationC53, E37, O31, O33, Q55

Keywords: innovation models, innovation management, forecasting, Bass model