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A chance constraints goal programming model for the advertising planning problem

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  • Bhattacharya, U.K.

Abstract

This paper presents a model which has been designed to decide the number of advertisement in different advertising media and the optimal allocation of the budget assigned to the different media. The main objective of this problem is to maximize the reach to the desired section of people for different media within their maximum allowable budget without violating the max and min number of advertisement goals. The media have been considered as different newspapers and different channels in Televisions. Here in this article the model has been formulated in such a way that the advertisement should reach to those who are suitable for the product instead of going to those section who are not considered suitable for the product as well. A chance constrained goal programming model has been designed after considering the parameter corresponding to reach for different media as random variables. The random variables in this case has been considered as values which have known mean and standard deviations. A case for an upcoming institution who are interested to advertise for its two years Post Graduate Diploma in Management (PGDM) programme to the different newspapers and television channels has been designed to illustrate the solution methodology.

Suggested Citation

  • Bhattacharya, U.K., 2009. "A chance constraints goal programming model for the advertising planning problem," European Journal of Operational Research, Elsevier, vol. 192(2), pages 382-395, January.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:2:p:382-395
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    References listed on IDEAS

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    1. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    2. A. Charnes & W. W. Cooper & J. K. Devoe & D. B. Learner & W. Reinecke, 1968. "A Goal Programming Model for Media Planning," Management Science, INFORMS, vol. 14(8), pages 423-430, April.
    3. Sang M. Lee & Edward R. Clayton, 1972. "A Goal Programming Model for Academic Resource Allocation," Management Science, INFORMS, vol. 18(8), pages 395-408, April.
    4. Kwak, N. K. & Lee, Chang Won & Kim, Ji Hee, 2005. "An MCDM model for media selection in the dual consumer/industrial market," European Journal of Operational Research, Elsevier, vol. 166(1), pages 255-265, October.
    5. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    6. A. Charnes & W. W. Cooper & D. B. Learner & E. F. Snow, 1968. "Note on an Application of a Goal Programming Model for Media Planning," Management Science, INFORMS, vol. 14(8), pages 431-436, April.
    7. Fruchter, Gila E. & Kalish, Shlomo, 1998. "Dynamic promotional budgeting and media allocation," European Journal of Operational Research, Elsevier, vol. 111(1), pages 15-27, November.
    8. Aouni, Belaid & Ben Abdelaziz, Foued & Martel, Jean-Marc, 2005. "Decision-maker's preferences modeling in the stochastic goal programming," European Journal of Operational Research, Elsevier, vol. 162(3), pages 610-618, May.
    9. Bruno Contini, 1968. "A Stochastic Approach to Goal Programming," Operations Research, INFORMS, vol. 16(3), pages 576-586, June.
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    Cited by:

    1. Syed Mohd Muneeb & Ahmad Yusuf Adhami & Zainab Asim & Syed Aqib Jalil, 2019. "Bi-level decision making models for advertising allocation problem under fuzzy environment," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(2), pages 160-172, April.
    2. Beltran-Royo, C. & Zhang, H. & Blanco, L.A. & Almagro, J., 2013. "Multistage multiproduct advertising budgeting," European Journal of Operational Research, Elsevier, vol. 225(1), pages 179-188.
    3. Beltran-Royo, C. & Escudero, L.F. & Zhang, H., 2016. "Multiperiod Multiproduct Advertising Budgeting: Stochastic Optimization Modeling," Omega, Elsevier, vol. 59(PA), pages 26-39.
    4. Cinzia Colapinto & Raja Jayaraman & Simone Marsiglio, 2017. "Multi-criteria decision analysis with goal programming in engineering, management and social sciences: a state-of-the art review," Annals of Operations Research, Springer, vol. 251(1), pages 7-40, April.
    5. Alireza Azimian & Belaid Aouni, 2017. "Supply chain management through the stochastic goal programming model," Annals of Operations Research, Springer, vol. 251(1), pages 351-365, April.
    6. Muñoz, María M. & Abdelaziz, Fouad Ben, 2012. "Satisfactory solution concepts and their relations for Stochastic Multiobjective Programming problems," European Journal of Operational Research, Elsevier, vol. 220(2), pages 430-442.
    7. Parham Fami Tafreshi & Mohammad Hasan Aghdaie & Majid Behzadian & Mahdieh Ghani Abadi, 2016. "Developing a Group Decision Support System for Advertising Media Evaluation: A Case in the Middle East," Group Decision and Negotiation, Springer, vol. 25(5), pages 1021-1048, September.
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