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Development of a Fuzzy Economic Order Quantity Model of Deteriorating Items with Promotional Effort and Learning in Fuzziness with a Finite Time Horizon

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Department of Basic Science and Humanities, Techno International New Town (Formerly Techno India College of Technology), New Town, Rajarhat, Kolkata 700156, India
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Department of Industrial & Management Engineering, Hanyang University, Ansan, Gyeonggi-do 15588, Korea
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Department of Industrial & Systems Engineering, Indian Institute of Technology Kharagpur, West Bengal 721302, India
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Chimanbhai Patel Post Graduate Institute of Computer Applications, Ahmedabad 380015, India
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Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal 711103, India
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Author to whom correspondence should be addressed.
Inventions 2019, 4(3), 36; https://doi.org/10.3390/inventions4030036
Received: 2 June 2019 / Revised: 3 July 2019 / Accepted: 15 July 2019 / Published: 22 July 2019
This study investigates an economic order quantity model of deteriorating items, where demand is fuzzy in nature and depends on promotional effort with full backorder for a given time horizon. The learning effect in the fuzzy environment is added in this model. A constant deterioration rate is assumed. Under these circumstances, a mathematical model is developed to curtail the total cost over a finite time horizon by determining the replenishment order quantity, number of replenishments, and the fraction of the replenishment cycle when inventory is positive. A solution algorithm is developed to find the optimal solutions. The applicability of the proposed model is illustrated through numerical examples. To get further insights, sensitivity analysis is carried out for the main parameters in crisp, fuzzy, and fuzzy-learning environments. View Full-Text
Keywords: promotional effort; deterioration items; triangular fuzzy number; learning in fuzziness promotional effort; deterioration items; triangular fuzzy number; learning in fuzziness
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Mahapatra, A.S.; Sarkar, B.; Mahapatra, M.S.; Soni, H.N.; Mazumder, S.K. Development of a Fuzzy Economic Order Quantity Model of Deteriorating Items with Promotional Effort and Learning in Fuzziness with a Finite Time Horizon. Inventions 2019, 4, 36.

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