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2019 | OriginalPaper | Chapter

Dynamic Marketing Model: Optimization of Retailer’s Role

Author : Igor Bykadorov

Published in: Optimization and Applications

Publisher: Springer International Publishing

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Abstract

We study a vertical control distribution channel in which a manufacturer sells a single kind of good to a retailer. The state variables are the cumulative sales and the retailer’s motivation. The manufacturer chooses wholesale price discount while retailer chooses pass-through. We assume that the wholesale price discount increases the retailer’s sale motivation thus improving sales. In contrast to previous settings, we focus on the maximization of retailer’s profit with respect to pass-through. The arising problem is linear with respect to both cumulative sales and the retailer’s motivation, while it is quadratic with respect to wholesale price discount and pass-through. We obtain a complete description of optimal strategies and optimal trajectories. In particular, we demonstrate that the number of switches for change in the type of optimal policy is no more than one.

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Appendix
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Literature
1.
go back to reference Bykadorov, I., Ellero, A., Moretti, E., Vianello, S.: The role of retailer’s performance in optimal wholesale price discount policies. Eur. J. Oper. Res. 194(2), 538–550 (2009)MathSciNetCrossRef Bykadorov, I., Ellero, A., Moretti, E., Vianello, S.: The role of retailer’s performance in optimal wholesale price discount policies. Eur. J. Oper. Res. 194(2), 538–550 (2009)MathSciNetCrossRef
2.
go back to reference Nerlove, M., Arrow, K.J.: Optimal advertising policy under dynamic conditions. Economica 29(144), 129–142 (1962)CrossRef Nerlove, M., Arrow, K.J.: Optimal advertising policy under dynamic conditions. Economica 29(144), 129–142 (1962)CrossRef
3.
go back to reference Bala, P.K.: A data mining model for investigating the impact of promotion in retailing. In: 2009 IEEE International Advance Computing Conference, IACC 2009, pp. 670–674, 4809092 (2009) Bala, P.K.: A data mining model for investigating the impact of promotion in retailing. In: 2009 IEEE International Advance Computing Conference, IACC 2009, pp. 670–674, 4809092 (2009)
4.
go back to reference Giri, B.C., Bardhan, S.: Coordinating a two-echelon supply chain with price and inventory level dependent demand, time dependent holding cost, and partial backlogging. Int. J. Math. Oper. Res. 8(4), 406–423 (2016)MathSciNet Giri, B.C., Bardhan, S.: Coordinating a two-echelon supply chain with price and inventory level dependent demand, time dependent holding cost, and partial backlogging. Int. J. Math. Oper. Res. 8(4), 406–423 (2016)MathSciNet
5.
go back to reference Giri, B.C., Bardhan, S., Maiti, T.: Coordinating a two-echelon supply chain through different contracts under price and promotional effort-dependent demand. J. Syst. Sci. Syst. Eng. 22(3), 295–318 (2013)CrossRef Giri, B.C., Bardhan, S., Maiti, T.: Coordinating a two-echelon supply chain through different contracts under price and promotional effort-dependent demand. J. Syst. Sci. Syst. Eng. 22(3), 295–318 (2013)CrossRef
6.
go back to reference Printezis, A., Burnetas, A.: The effect of discounts on optimal pricing under limited capacity. Int. J. Oper. Res. 10(2), 160–179 (2011)MathSciNetCrossRef Printezis, A., Burnetas, A.: The effect of discounts on optimal pricing under limited capacity. Int. J. Oper. Res. 10(2), 160–179 (2011)MathSciNetCrossRef
7.
go back to reference Routroy, S., Dixit, M., Sunil Kumar, C.V.: Achieving supply chain coordination through lot size based discount. Mater. Today: Proc. 2(4–5), 2433–2442 (2015)CrossRef Routroy, S., Dixit, M., Sunil Kumar, C.V.: Achieving supply chain coordination through lot size based discount. Mater. Today: Proc. 2(4–5), 2433–2442 (2015)CrossRef
8.
go back to reference Ruteri, J.M., Xu, Q.: The new business model for SMEs food processors based on supply chain contracts. In: International Conference on Management and Service Science, MASS 2011, 5999355 (2011) Ruteri, J.M., Xu, Q.: The new business model for SMEs food processors based on supply chain contracts. In: International Conference on Management and Service Science, MASS 2011, 5999355 (2011)
9.
go back to reference Sang, S.: Bargaining in a two echelon supply chain with price and retail service dependent demand. Eng. Lett. 26(1), 181–186 (2018) Sang, S.: Bargaining in a two echelon supply chain with price and retail service dependent demand. Eng. Lett. 26(1), 181–186 (2018)
10.
go back to reference Bykadorov, I., Ellero, A., Moretti, E.: Minimization of communication expenditure for seasonal products. RAIRO Oper. Res. 36(2), 109–127 (2002)MathSciNetCrossRef Bykadorov, I., Ellero, A., Moretti, E.: Minimization of communication expenditure for seasonal products. RAIRO Oper. Res. 36(2), 109–127 (2002)MathSciNetCrossRef
11.
go back to reference Bykadorov, I., Ellero, A., Funari, S., Moretti, E.: Dinkelbach approach to solving a class of fractional optimal control problems. J. Optim. Theory Appl. 142(1), 55–66 (2009)MathSciNetCrossRef Bykadorov, I., Ellero, A., Funari, S., Moretti, E.: Dinkelbach approach to solving a class of fractional optimal control problems. J. Optim. Theory Appl. 142(1), 55–66 (2009)MathSciNetCrossRef
12.
go back to reference Bykadorov, I.A., Kokovin, S.G., Zhelobodko, E.V.: Product diversity in a vertical distribution channel under monopolistic competition. Autom. Remote Control 75(8), 1503–1524 (2014)MathSciNetCrossRef Bykadorov, I.A., Kokovin, S.G., Zhelobodko, E.V.: Product diversity in a vertical distribution channel under monopolistic competition. Autom. Remote Control 75(8), 1503–1524 (2014)MathSciNetCrossRef
13.
go back to reference Bykadorov, I., Ellero, A., Funari, S., Kokovin, S., Pudova, M.: Chain store against manufacturers: regulation can mitigate market distortion. In: Kochetov, Y., Khachay, M., Beresnev, V., Nurminski, E., Pardalos, P. (eds.) DOOR 2016. LNCS, vol. 9869, pp. 480–493. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-44914-2_38CrossRef Bykadorov, I., Ellero, A., Funari, S., Kokovin, S., Pudova, M.: Chain store against manufacturers: regulation can mitigate market distortion. In: Kochetov, Y., Khachay, M., Beresnev, V., Nurminski, E., Pardalos, P. (eds.) DOOR 2016. LNCS, vol. 9869, pp. 480–493. Springer, Cham (2016). https://​doi.​org/​10.​1007/​978-3-319-44914-2_​38CrossRef
14.
go back to reference Antoshchenkova, I.V., Bykadorov, I.A.: Monopolistic competition model: the impact of technological innovation on equilibrium and social optimality. Autom. Remote Control 78(3), 537–556 (2017)MathSciNetCrossRef Antoshchenkova, I.V., Bykadorov, I.A.: Monopolistic competition model: the impact of technological innovation on equilibrium and social optimality. Autom. Remote Control 78(3), 537–556 (2017)MathSciNetCrossRef
15.
go back to reference Bykadorov, I.: Monopolistic competition model with different technological innovation and consumer utility levels. In: CEUR Workshop Proceeding 1987, pp. 108–114 (2017) Bykadorov, I.: Monopolistic competition model with different technological innovation and consumer utility levels. In: CEUR Workshop Proceeding 1987, pp. 108–114 (2017)
16.
go back to reference Bykadorov, I., Kokovin, S.: Can a larger market foster R&D under monopolistic competition with variable mark-ups? Res. Econ. 71(4), 663–674 (2017)CrossRef Bykadorov, I., Kokovin, S.: Can a larger market foster R&D under monopolistic competition with variable mark-ups? Res. Econ. 71(4), 663–674 (2017)CrossRef
17.
go back to reference Bykadorov, I., Gorn, A., Kokovin, S., Zhelobodko, E.: Why are losses from trade unlikely? Econ. Lett. 129, 35–38 (2015)MathSciNetCrossRef Bykadorov, I., Gorn, A., Kokovin, S., Zhelobodko, E.: Why are losses from trade unlikely? Econ. Lett. 129, 35–38 (2015)MathSciNetCrossRef
18.
go back to reference Seierstad, A., Sydsæter, K.: Optimal Control Theory with Economic Applications. North Holland, Amsterdam (1987) Seierstad, A., Sydsæter, K.: Optimal Control Theory with Economic Applications. North Holland, Amsterdam (1987)
Metadata
Title
Dynamic Marketing Model: Optimization of Retailer’s Role
Author
Igor Bykadorov
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-10934-9_28

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