Fuzzy Inventory Model for Deteriorating Items With Low Carbon Emission Cost Under Preservation Technology and Trade Credit

Authors

  • S. Hemalatha Mother Teresa Women’s University, Kodaikanal 624101, Tamil Nadu, India; Department of Mathematics, SSM Institute of Engineering and Technology (Anna University), Dindigul 624002, Tamil Nadu, India https://orcid.org/0009-0004-9939-1837
  • K. Annadurai Department of Mathematics, M.V. Muthiah Government Arts College for Women (Mother Teresa Women’s University), Dindigul 624001, Tamil Nadu, India https://orcid.org/0000-0002-4315-6967

DOI:

https://doi.org/10.26713/cma.v14i5.2268

Keywords:

Trade credit, Preservation technology investment, Carbon emission, Triangular fuzzy number, Signed distance method

Abstract

Organizations are eager on rethinking and optimizing their current stock techniques in order to achieve profitability. When managing a supply chain, the phenomenon of deterioration becomes a major consideration. It is able to control the expenditure incurred on preservation technology for deteriorating things up to a specified limit. Nowadays, the world’s consciousness is to reduce carbon footprints to mitigate global warming. Consumers have become cognizant of surroundings protection and like low carbon evolved products. We explore a mathematical model for the retailer under the conditions of permissible delay in payments; thereby trade credit is implemented to draw customers. In this study, a crisp model is evolved to reduce the total cost. However, parameters are obscure. To model this impreciseness, a fuzzy model is taken into consideration by taking the parameters as triangular fuzzy numbers. Total cost function is defuzzified through Signed-distance method and is proven to be convex. Comparison of crisp and fuzzy models via special cases is carried out. Moreover, sensitivity analysis and graphical representation are given. Finally, the model obtains the minimal supply chain cost with decision variables as confirmed through the numerical study.

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References

K. Annadurai and R. Uthayakumar, Analysis of partial trade credit financing in a supply chain by EOQ-based model for decaying items with shortages, The International Journal of Advanced Manufacturing Technology 61 (2012), 1139 – 1159, DOI: 10.1007/s00170-011-3765-9.

K. Annadurai and R. Uthayakumar, Two-echelon inventory model for deteriorating items with credit period dependent demand including shortages under trade credit, Optimization Letters 7 (2013), 1227 – 1249, DOI: 10.1007/s11590-012-0499-z.

S. Bardhan, H. Pal and B. C. Giri, Optimal replenishment policy and preservation technology investment for a non-instantaneous deteriorating item with stock-dependent demand, Operational Research 19(2) (2019), 347 – 368, DOI: 10.1007/s12351-017-0302-0.

K.-M. Björk, An analytical solution to a fuzzy economic order quantity problem, International Journal of Approximate Reasoning 50(3) (2009), 485 – 493, DOI: 10.1016/j.ijar.2008.10.001.

K. D. Choudhury, B. Karmakar, M. Das and T. K. Datta, An inventory model for deteriorating items with stock-dependent demand, time-varying holding cost and shortages, Opsearch 52(1) (2015), 55 – 74, DOI: 10.1007/s12597-013-0166-x.

Y. Daryanto and H. M. Wee, Low carbon economic production quantity model for imperfect quality deteriorating item, International Journal of Industrial Engineering and Engineering Management 1(1) (2019), 1 – 8, DOI: 10.24002/ijieem.v1i1.2291.

D. G. Patel, D. B. Shah and N. H. Shah, Optimal carbon footprints for chemical industries incorporating trade credit under trended demand, Revista Investigacion Operacional 41(6) (2020), 793 – 803, URL: https://rev-inv-ope.pantheonsorbonne.fr/sites/default/files/inline-files/41620-01_0.pdf.

C.-Y. Dye and C.-T. Yang, Sustainable trade credit and replenishment decisions with credit-linked demand under carbon emission constraints, European Journal of Operational Research 244(1) (2015), 187 – 200, DOI: 10.1016/j.ejor.2015.01.026.

S. Hemalatha and K. Annadurai, An integrated production-distribution inventory system for deteriorating products in fuzzy environment, Malaya Journal of Matematik 8(4) (2020), 1527 – 1538, DOI: 10.26637/MJM0804/0033.

C. K. Jaggi, S. K. Goyal and S. K. Goel, Retailer’s optimal replenishment decisions with creditlinked demand under permissible delay in payments, European Journal of Operational Research 190(1) (2008), 130 – 135, DOI: 10.1016/j.ejor.2007.05.042.

B. Karthick and R. Uthayakumar, Optimizing an imperfect production model with varying setup cost, price discount, and lead time under fuzzy demand, Process Integration and Optimization for Sustainability 5 (2021), 13 – 29, DOI: 10.1007/s41660-020-00133-8.

A. Khanna, Priyamvada and C. K. Jaggi, Optimizing preservation strategies for deteriorating items with time-varying holding cost and stock-dependent demand, Yugoslav Journal of Operations Research 30(2) (2020), 237 – 250, DOI: 10.2298/YJOR190215003K.

P. Mala and S. Priyan, A sustainable approach for smart supply chain with quality humiliation and carbon emission cost, Asian Journal of Fuzzy and Applied Mathematics 9(1) (2021), 1 – 8, DOI: 10.24203/ajfam.v9i1.6513.

B. Malleeswaran and R. Uthayakumar, An integrated vendor–buyer supply chain model for backorder price discount and price-dependent demand using service level constraints and carbon emission cost, International Journal of Systems Science: Operations & Logistics 9(1) (2020), 111 – 120, DOI: 10.1080/23302674.2020.1833258.

P. Mishra and I. Talati, Quantity discount for integrated supply chain model with back order and controllable deterioration rate, Yugoslav Journal of Operations Research 28(3) (2018), 355 – 369, DOI: 10.2298/YJOR171014012M.

N. H. Shah, E. Patel and K. Rabari, Optimal ordering policies under conditional trade-credit for retailer, Revista Investigacion Operacional 41(7) (2020), 970 – 978, URL: https://rev-inv-ope.pantheonsorbonne.fr/sites/default/files/inline-files/41720-06.pdf.

N. H. Shah, K. Rabari and E. Patel, Inventory and preservation investment for deteriorating system with stock-dependent demand and partial backlogged shortages, Yugoslav Journal of Operations Research 31(2) (2021), 181 – 192, DOI: 10.2298/YJOR200217038S.

S. Sahu, G. C. Panda and A. K. Das, A fully backlogged deteriorating inventory model with price dependent demand using preservation technology investment and trade credit policy, International Journal of Engineering Research & Technology 6(6) (2017), 851 – 858.

S. R. Singh, D. Khurana and S. Tayal, An economic order quantity model for deteriorating products having stock dependent demand with trade credit period and preservation technology, Uncertain Supply Chain Management 4(1) (2016), 29 – 42, DOI: 10.5267/j.uscm.2015.8.001.

Y. J. Shen, K. F. Shen and C. T. Yang, A production inventory model for deteriorating items with collaborative preservation technology investment under carbon tax, Sustainability 11 (2019), 5027, DOI: 10.3390/su11185027.

C. Yu, Z. Qu, T. W. Archibald and Z. Luan, An inventory model of a deteriorating product considering carbon emissions, Computers & Industrial Engineering 148 (2020), 106694, DOI: 10.1016/j.cie.2020.106694.

Z. Tao and J. Xu, Carbon-regulated EOQ models with consumers’ low-carbon awareness, Sustainability 11 (2019), 1004, DOI: 10.3390/su11041004.

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Published

31-12-2023
CITATION

How to Cite

Hemalatha, S., & Annadurai, K. (2023). Fuzzy Inventory Model for Deteriorating Items With Low Carbon Emission Cost Under Preservation Technology and Trade Credit. Communications in Mathematics and Applications, 14(5), 1767–1797. https://doi.org/10.26713/cma.v14i5.2268

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Section

Research Article