DYNAMIC LINEAR MODEL OF MARKETING ON A MULTI-SEGMENT MARKET
Abstract
A linear model of optimal control for the marketing of a homogeneous product is considered. The process of production and promotion of the product for the manufacturing firm is divided into two consecutive periods; the first one is devoted to production, while the second one – to the sale of the product. The activities of the firm during these periods (and, consequently, the mathematical description of its activities) are significantly different. The state variables of the model are given by variables characterizing intangible assets (both consumers and sellers), called «goodwills». The firm seeks to maximize profits, subject to not less than a predetermined period of goodwill at the end of the sales level.
About the Authors
S. B. Barabash
Novosibirsk State University of Economics and Management
Russian Federation
Russian Federation
Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Statistics
I. A. Bykadorov
Sobolev Institute of Mathematics SB RAS
Novosibirsk National Research State University
Novosibirsk State University of Economics and Management
Russian Federation
Candidate of Physical and Mathematical Sciences, Associate Professor
Russian Federation
Candidate of Physical and Mathematical Sciences, Associate Professor
M. V. Pudova
Novosibirsk State University of Economics and Management
Russian Federation
Russian Federation
Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Statistics
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Review
For citations:
Barabash S.B., Bykadorov I.A., Pudova M.V. DYNAMIC LINEAR MODEL OF MARKETING ON A MULTI-SEGMENT MARKET. Vestnik NSUEM. 2017;(2):260-273. (In Russ.)
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