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A chance constraints goal programming model for the advertising planning problem


  • Bhattacharya, U.K.


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

    1. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
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    Cited by:

    1. 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.
    2. Beltran-Royo, C. & Escudero, L.F. & Zhang, H., 2016. "Multiperiod Multiproduct Advertising Budgeting: Stochastic Optimization Modeling," Omega, Elsevier, vol. 59(PA), pages 26-39.
    3. 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.
    4. repec:spr:annopr:v:251:y:2017:i:1:d:10.1007_s10479-015-1829-1 is not listed on IDEAS
    5. Wanke, Peter & Barros, C.P., 2017. "Efficiency thresholds and cost structure in Senegal airports," Journal of Air Transport Management, Elsevier, vol. 58(C), pages 100-112.
    6. repec:spr:annopr:v:251:y:2017:i:1:d:10.1007_s10479-015-2007-1 is not listed on IDEAS


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