Skip Navigation Links
Journal of Environmental Accounting and Management
António Mendes Lopes (editor), Jiazhong Zhang(editor)
António Mendes Lopes (editor)

University of Porto, Portugal

Email: aml@fe.up.pt

Jiazhong Zhang (editor)

School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi Province 710049, China

Fax: +86 29 82668723 Email: jzzhang@mail.xjtu.edu.cn


first{Solving Nonlinear Inventory Model for Deteriorating Items using Fractional Differential Method }

Journal of Environmental Accounting and Management 10(1) (2022) 31--38 | DOI:10.5890/JEAM.2022.03.004

normalsize $^1$ B.S.A. Crescent Institute of Engineering and Technology, India

$^2$ Saudi Electronic University, Saudi Arabia

Download Full Text PDF

 

Abstract

References

  1. [1]  Arikoglu, A. and Ozkol, I. (2007), Solution of fractional differential equations by using differential transform method, Chaos Solitons and Fractals, 34(5), 1473-1481.
  2. [2]  Abdel-Halim Hassan, I.H.(2004), Differential transformation technique for solving higher-order initial value problems, Appl. Math.Comput., 154, 299-311.
  3. [3]  Caputo, M. (1967), Linear models of dissipation whose Q is almost frequency independent, Part II, J. Roy. Austral.Soc., 13, 529-539.
  4. [4]  Chen, C., and Monahan, G.E. (2010), Environmental safety stock: The impacts of regulatory and voluntary control policies on production planning, inventory control, and environmental performance, European Journal of Operational Research, 207(3), 1280-1292.
  5. [5] Datta, T.K., and Paul, K., (2001), An inventory system with stock-dependent, price-sensitive demand rate, Production Planning and Control, 12, 13-20.
  6. [6] Ghoreishi, M., Weber, G.W., and Mirzazadeh, A. (2015), An inventory model for non-instantaneous deteriorating items with partial backlogging, permissible delay in payments, inflation-and selling price-dependent demand and customer returns, Annals of Operations Research, 226(1), 221-238.
  7. [7] Gokdogan, A., Merdan M., and Yildirim, A. (2012), Adaptive multi-step differential transformation method for solving nonlinear equations, Mathematical and Computer Modeling, 761-769.
  8. [8]  He, J.H. (1999), Homotopy perturbation techniques, Computer Methods in Applied Mechanics and Engineering, 178, 257-262.
  9. [9] Hung, K.C. (2011), An inventory model with generalized type demand, deterioration and backorder rates, European Journal of Operational Research, 208, 239-242. %
  10. [10] Khan, Y. and Wu, Q.(2011), Homotopy Perturbation Transform Method for nonlinear equations using He's %Polynomials, Computers and Mathematics with Applications, 61, 1963-1967. %
  11. [11] Lewis, H. and Gertsakis, J. (2001), Design environment: a global guide to designing greener goods, % Greenleaf Publishing, Sheffield. %
  12. [12]  Lin, W. (2007), Global existence theory and chaos control of fractional differential equations, Journal of Mathematical Analysis and Applications, 332, 709-726. %
  13. [13] Mandal, B., and Pal, A.K. (1998), Order level inventory system with ramp type demand rate for deteriorating items, Journal of Interdisciplinary Mathematics, 1, 49-66.
  14. [14] MKareem, M.F., and Uduman, P.S. (2016), The Numerical Solution of Chua-Nonlinear Tumor Model by Three Different Transform Methods, International Journal of Engineering Studies, ISSN 0975-6469, 2(8), 147-158.
  15. [15] Panda, S., (2010), An EOQ model with stock dependent demand and imperfect quality items, Yugoslav Journal of Operations Research, 20(2), 237-247.
  16. [16] Roy, T. and Chaudhuri, K.S. (2012), An EPLS model for a variable production rate with stock-price sensitive demand and deterioration, Yugoslav Journal of Operations Research, 22(1), 19-30.
  17. [17] Sana, S.S., Goyal, S.K., and Chaudhuri, K.S. (2007), An imperfect production process in a volume flexible inventory model, International Journal of Production Economics, 105, 548-559. %
  18. [18]  Sathaye, N., Horvath, A., and Madanat, S. (2010), Unintended impacts of increased truck loads on pavement supply-chain emissions, Transportation Research , Part A 44, 1-5.
  19. [19]  Sheik Uduman, P.S. and Divya, A. (2015), A Review of fuzzy risk analysis model and predator prey model in fuzzy, International Journal Of Applied Engineering Research, 10(42), 30969-30975.
  20. [20] Silver, E.A. and Peterson, R. (1985), Decision Systems for Inventory Management and Production Planning, 2nd Edition. Wiley: New York. %
  21. [21] Tapaswini, S. and Chakraverty, S. (2013), Numerical Solution of Fuzzy Arbitrary Order Predator-Prey Equations, International Journal Of AAM, 8(2), 647-672.
  22. [22]  Wahab, M.I.M., Mamun, S.M.H., and Ongkunaruk, P. (2011), EOQ models for a coordinated two-level international supply chain considering imperfect items and environmental impact, International Journal of Production Economics, 134, 151-158.
  23. [23] Yadav, D., Singh, S.R. and Kumari, R.(2012), Inventory model of deteriorating items with two warehouse and stock dependent demand using genetic algorithm in fuzzy environment, Yugoslav Journal of Operations Research, 22(1), 51-78. %
  24. [24] Yadav, D., Singh, S.R., and Kumari, R. (2016), Inventory model of deteriorating items with two warehouse and stock dependent demand using genetic algorithm in fuzzy environment, % International journal of pure and applied Mathematics, 109(5), 75-83.
  25. [25] Yang, H.L., Teng, J.T. and Chern, M.S. (2010), An inventory model under inflation for deteriorating items with stock-dependent consumption rate and partial backlogging shortages, International Journal of Production Economics, 123, 8-19. %
  26. [26] Zadeh, L.A. (1965), Fuzzy Sets, Information and computation, 8(3), 338-353.
  27. [27]  Zhou, J.K. (1986), Differential Transformation and Its Applications for Electrical Circuits (in Chinese), Huazhong University Press, Wuhan, China.