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Backlogging EOQ model for promotional effort and selling price sensitive demand- an intuitionistic fuzzy approach

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  • Sujit De
  • Shib Sana

Abstract

An intuitionistic fuzzy economic order quantity (EOQ) inventory model with backlogging is investigated using the score functions for the member and non-membership functions. The demand rate is varying with selling price and promotional effort (PE). A crisp model is formulated first. Then, intuitionistic fuzzy set and score function (or net membership function) are applied in the proposed model, considering selling price and PE as fuzzy numbers. To obtain the best inventory policy, ranking index method has been adopted, showing that the score function can maintain the ranking rule also. Moreover, optimization is made under the general fuzzy optimal (GFO) and intuitionistic fuzzy optimal (IFO) policy. Finally, a graphical illustration, numerical examples with sensitivity analysis and conclusion is made to justify the model. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Sujit De & Shib Sana, 2015. "Backlogging EOQ model for promotional effort and selling price sensitive demand- an intuitionistic fuzzy approach," Annals of Operations Research, Springer, vol. 233(1), pages 57-76, October.
    • Handle: RePEc:spr:annopr:v:233:y:2015:i:1:p:57-76:10.1007/s10479-013-1476-3
    DOI: 10.1007/s10479-013-1476-3
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    2. Sujit Kumar De & Shib Sankar Sana, 2018. "The (p, q, r, l) model for stochastic demand under Intuitionistic fuzzy aggregation with Bonferroni mean," Journal of Intelligent Manufacturing, Springer, vol. 29(8), pages 1753-1771, December.
    3. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Leopoldo Eduardo Cárdenas-Barrón, 2020. "A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints," Annals of Operations Research, Springer, vol. 286(1), pages 265-301, March.
    4. Melis Teksan, Z. & Geunes, Joseph, 2016. "An EOQ model with price-dependent supply and demand," International Journal of Production Economics, Elsevier, vol. 178(C), pages 22-33.
    5. Ata Allah Taleizadeh & Kannan Govindan & Nasim Ebrahimi, 2020. "The effect of promotional cost sharing on the decisions of two-level supply chain with uncertain demand," Annals of Operations Research, Springer, vol. 290(1), pages 747-781, July.
    6. Emad Sane-Zerang & Jafar Razmi & Ata Allah Taleizadeh, 2020. "Coordination in a closed-loop supply chain under asymmetric and symmetric information with sales effort-dependent demand," Journal of Business Economics, Springer, vol. 90(2), pages 303-334, March.
    7. Hardik N. Soni & Dipali N. Suthar, 2020. "Optimal pricing and replenishment policy for non-instantaneous deteriorating items with varying rate of demand and partial backlogging," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 986-1021, September.
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