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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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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. F. Arcelus & T. Pakkala & G. Srinivasan, 2006. "On the interaction between retailers inventory policies and manufacturer trade deals in response to supply-uncertainty occurrences," Annals of Operations Research, Springer, vol. 143(1), pages 45-58, March.
    3. Savita Mishra & Ajit Ghosh, 2006. "Interactive fuzzy programming approach to Bi-level quadratic fractional programming problems," Annals of Operations Research, Springer, vol. 143(1), pages 251-263, March.
    4. George Ioannou & Gregory Prastacos & Georgia Skintzi, 2004. "Inventory Positioning in Multiple Product Supply Chains," Annals of Operations Research, Springer, vol. 126(1), pages 195-213, February.
    5. Saleh, Mohamed & Oliva, Rogelio & Kampmann, Christian Erik & Davidsen, Pål I., 2010. "A comprehensive analytical approach for policy analysis of system dynamics models," European Journal of Operational Research, Elsevier, vol. 203(3), pages 673-683, June.
    6. Ravi Shankar Kumar & S.K. De & A. Goswami, 2012. "Fuzzy EOQ models with ramp type demand rate, partial backlogging and time dependent deterioration rate," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(5), pages 473-502.
    7. Guillermo Gallego & Haichao Hu, 2004. "Optimal Policies for Production/Inventory Systems with Finite Capacity and Markov-Modulated Demand and Supply Processes," Annals of Operations Research, Springer, vol. 126(1), pages 21-41, February.
    8. Georg Krieg & Heinrich Kuhn, 2004. "Analysis of Multi-Product Kanban Systems with State-Dependent Setups and Lost Sales," Annals of Operations Research, Springer, vol. 125(1), pages 141-166, January.
    9. S. Kalpakam & S. Shanthi, 2006. "A continuous review perishable system with renewal demands," Annals of Operations Research, Springer, vol. 143(1), pages 211-225, March.
    10. K. Ganesan & P. Veeramani, 2006. "Fuzzy linear programs with trapezoidal fuzzy numbers," Annals of Operations Research, Springer, vol. 143(1), pages 305-315, March.
    11. Wu, Kweimei & Yao, Jing-Shing, 2003. "Fuzzy inventory with backorder for fuzzy order quantity and fuzzy shortage quantity," European Journal of Operational Research, Elsevier, vol. 150(2), pages 320-352, October.
    12. Vujosevic, Mirko & Petrovic, Dobrila & Petrovic, Radivoj, 1996. "EOQ formula when inventory cost is fuzzy," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 499-504, August.
    13. Sarkar, Biswajit & Sarkar, Sumon, 2013. "An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand," Economic Modelling, Elsevier, vol. 30(C), pages 924-932.
    14. Xie, Jinxing & Wei, Jerry C., 2009. "Coordinating advertising and pricing in a manufacturer-retailer channel," European Journal of Operational Research, Elsevier, vol. 197(2), pages 785-791, September.
    15. Kabirian, Alireza & Ólafsson, Sigurdur, 2011. "Continuous optimization via simulation using Golden Region search," European Journal of Operational Research, Elsevier, vol. 208(1), pages 19-27, January.
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    3. 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.
    4. 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.
    5. Sujeet Kumar Singh & Shiv Prasad Yadav, 2018. "Intuitionistic fuzzy multi-objective linear programming problem with various membership functions," Annals of Operations Research, Springer, vol. 269(1), pages 693-707, October.
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    7. Magfura Pervin & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2018. "Analysis of inventory control model with shortage under time-dependent demand and time-varying holding cost including stochastic deterioration," Annals of Operations Research, Springer, vol. 260(1), pages 437-460, January.
    8. 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.
    9. 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.
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    11. Margaret F. Shipley & Faiza Khoja & J. Brooke Shipley, 2018. "Investigating task and risk orientations in social behavior in networks: a fuzzy set-based model connecting natural and social sciences," Annals of Operations Research, Springer, vol. 268(1), pages 21-40, September.

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