The maximum principle to the control problem of advertising expenses with distributed lag
I. Lutoshkin1, N. Yamaltdinova2
Annotation | There is constructed the dynamic optimal control problem of promotion expenses, taking into account distributed lags of advertising and accumulated firm goodwill. There is solved the problem of maximizing a total profit of a company for the planning period under the restriction, reflects the reaction of the target audience. In this case initial problem is formulated as a system of equations of Volterra type. |
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Keywords | promotion expenses control; model with distributed lag of advertising; accumulated firm goodwill; optimal control; integral equations of Volterra type |
1Head of Economic and Mathematical Methods and Information Technologies Chair, Ulyanovsk State University, Ulyanovsk; lutoshkiniv@ulsu.ru.
2Graduate student of Economic and Mathematical Methods and Information Technologies Chair, Ulyanovsk State University, Ulyanovsk
Citation: I. Lutoshkin, N. Yamaltdinova, "[The maximum principle to the control problem of advertising expenses with distributed lag]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:4 (2015) 96–104 (In Russian)