Inventory model with preservation technology and exponential holding cost in fuzzy scenario

Authors

  • Hemalatha Shunmugam SSM Institute of Engineering and Technology, Dindigul
  • Annadurai Karuppuchamy M.V. Muthiah Government Arts College for Women, Dindigul, India

DOI:

https://doi.org/10.23755/rm.v48i0.951

Keywords:

carbon emission, preservation technology, signed distance method, stock dependent demand, triangular fuzzy number

Abstract

Inventories are ubiquitous in the business sector. Since inventory is most frequently incurring expense, stock control is critical for an organization and it must be scrimping and saving in contemplation of function the merchandising fruitfully.  In this paper, an inventory model for a deteriorating item under exponential holding cost with collaborative preservation technology investment under carbon policy is considered.  Also, this study is developed in a fuzzy scenario by employing triangular fuzzy numbers.  Signed distance method is utilized to enhance decision making and optimization. Further the convexity of the total cost function for both the crisp and the fuzzy case is established.  The objective is to determine the optimal investment in preservation technology and the optimal cycle length so as to minimize the total cost. Moreover, some managerial results are obtained by using sensitivity analysis and graphical representation is also carried out.  The applications of the proposed model is used in the fields of constructing machinery or heavy duty construction equipment, specific chemicals and processed food.   

References

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): 347-368, 2019.

K. M. Bjork. An analytical solution to a fuzzy economic order quantity problem. International Journal of Approximate Reasoning, 50(3): 485-493, 2009.

C. Yu, Z. Qu, T. W. Archibald and Z. Luan. An inventory model of a deteriorating product considering carbon emissions. Computers and Industrial Engineering, 148(3): 2020.

Y. Daryanto and H. M. Wee. Low carbon economic production quantity model for imperfect quality deteriorating items. International Journal of Industrial Engineering and Engineering Management. 1(1), 2019.

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): 793-803, 2020.

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): 187-200, 2015.

B. C. Giri, H. Pal and T. Maiti. A vendor-buyer supply chain model for time-dependent deteriorating item with preservation technology investment. International Journal of Mathematics in Operational Research, 10(4): 431-449, 2017.

S. Hemalatha and K. Annadurai. An integrated production-distribution inventory system for deteriorating products in fuzzy environment. Malaya Journal of Matematik, 8(4): 1527-1538, 2020.A. Khanna, P.Pritam 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): 237-250, 2020.

M. H. Alrefaei and M. Z. Tuffaha. New operations on n-intuitionistic polygonal fuzzy numbers. IAENG International Journal of Applied Mathematics, 51(3): 1-8, 2021.

R. Setiawan and I. Endrayanto. Analysis of the single-vendor multi-buyer inventory model for imperfect quality with controllable lead time. IAENG International Journal of Applied Mathematics, 51(3): 2021.

R. P. Tripathi and S. M. Mishra. EOQ model with linear time dependent demand and different holding cost functions. International Journal of Mathematics in operational Research, 9(4): 2016.

Y. Shen, K. Shen and C. Yang. A production inventory model for deteriorating items with collaborative preservation technology investment under carbon tax. Sustainability, 11(18): 5027, 2019.

Z. Tao and J. Xu. Carbon-regulated EOQ models with consumer’s low-carbon awareness. Sustainability, 11(4): 1004, 2019.

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Published

2023-12-30

Issue

Vol. 48 (2023)

Section

Volume 48-2023

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