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Economic order quantity model under fuzzy sense when demand follows innovation diffusion process having dynamic potential market size

Author

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  • K.K. Aggarwal
  • Chandra K. Jaggi
  • Alok Kumar

Abstract

The conventional inventory models are associated with different kind of uncertainties and these uncertainties make the model unrealistic. The fuzzy set theory plays a pivotal role to address this problem. In this paper, a mathematical model has been developed for obtaining the economic order quantity (EOQ) in which the demand of the product is assumed to follow an innovation diffusion process as proposed by Fourt and Woodlock (1960). The potential market size is considered to be dynamic. To make the model more realistic an attempt has been made to solve the model in the light of fuzzy set theory under the trapezoidal membership function. The total cost formula has been derived by applying the median rule of defuzzification and the graded mean integration representation approach of defuzzification. The effectiveness of this model is illustrated with a numerical example and sensitivity analysis of the optimal solution with respect to different parameters of the system is performed.

Suggested Citation

  • K.K. Aggarwal & Chandra K. Jaggi & Alok Kumar, 2012. "Economic order quantity model under fuzzy sense when demand follows innovation diffusion process having dynamic potential market size," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 13(3), pages 361-391.
    • Handle: RePEc:ids:ijsoma:v:13:y:2012:i:3:p:361-391
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    Citations

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    Cited by:

    1. Ping-Lung Huang & Bruce C.Y. Lee & Chen-Song Wang & Chi-Te Sun, 2017. "Relative Importance of the Factors under the ISO-10015 Quality Management Guidelines that Influence the Service Quality of Certification Bodies," Journal of Economics and Management, College of Business, Feng Chia University, Taiwan, vol. 13(1), pages 105-137, February.
    2. Udayan Chanda & Alok Kumar, 2019. "Optimization of EOQ Model for New Products Under Multi-Stage Adoption Process," International Journal of Innovation and Technology Management (IJITM), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 1-25, April.

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