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Issue:Optimization of EOQ model with space constraint: An intuitionistic fuzzy geometric programming approach

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Title of paper: Optimization of EOQ model with space constraint: An intuitionistic fuzzy geometric programming approach
Author(s):
Bappa Mondal
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India
bappa802@gmail.com
Arindam Garai
Department of Mathematics, Sonarpur Mahavidyalaya, Sonarpur, Kolkata-700149, West Bengal, India
fuzzy_arindam@yahoo.com
Tapan Kumar Roy
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, West Bengal, India
roy_t_k@yahoo.co.in
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 172–189
DOI: https://doi.org/10.7546/nifs.2018.24.4.172-189
Download:  PDF (443 Kb  Kb, File info)
Abstract: In this paper, we present a deterministic single objective economic order quantity (EOQ) model with space constraint in intuitionistic fuzzy environment. Here we take variable limit production cost, time dependent holding cost into account. We propose intuitionistic fuzzy geometric programming by extending existing fuzzy geometric programming to solve non-linear optimization problems. Next, we minimize the total average cost (TAC) of proposed EOQ model by applying intuitionistic fuzzy geometric programming. We consider one numerical application to show that the optimal solution of the proposed model by intuitionistic fuzzy geometric programming is more preferable than that of crisp and fuzzy geometric programming. Also we perform sensitivity analysis of parameters and present key managerial insights. Finally, we draw the conclusions.
Keywords: Economic order quantity, Geometric programming, Intuitionistic fuzzy geometric programming, Max-additive operator, Shape parameter, Storage space
AMS Classification: 03E72, 90C30, 90C70.
References:
  1. Angelov, P. P. (1997). Optimization in intuitionistic fuzzy environment, Fuzzy Sets and Systems, 86(3), 299–306.
  2. Atanassov, K. (1986). Intuitionistic fuzzy sets, Fuzzy Sets ans Systems, 20(1), 87–96.
  3. Beightler, C. S., & Phillips, D. T. (1976). Applied geometric programming, John Wiley & Sons, New York.
  4. Bellman, R. E., & Zadeh, L. A. (1970). Decision-making in a fuzzy environment, Management Sciences, 17(4), 141–164.
  5. Chakrabortty, S., Pal, M., & Nayak, P. K. (2013). Intuitionistic fuzzy optimization technique for Pareto optimal solution of manufacturing inventory models with shortages, European Journal of Operational Research, 228(2), 381–387.
  6. Cheng, T. C. E. (1989). An economic order quantity model with demand-dependent unit cost, European Journal of Operational Research, 40(2), 252–256.
  7. Cheng, T. C. E. (1991). An economic order quantity model with demand-dependent unit production cost and imperfect production process, IIE Transactions, 23(1), 23–28.
  8. Dey, S., & Roy, T. K. (2014). Optimized solution of two bar truss design using intuitionistic fuzzy optimization technique, International Journal of Information Engineering and Electronic Business, 4, 45–51.
  9. Duffin, R. J. (1962). Cost minimization problems treated by geometric means, Operations Research, 10(5), 668–675.
  10. Duffin, R. J., Peterson, E. L., & Zener, C. M. (1967) Geometric programming, John Wiley, New York.
  11. Garai, A., Mandal, P., & Roy, T. K. (2016). Interactive intuitionistic fuzzy technique in multi-objective optimization, International Journal of Fuzzy Computation and Modelling, 2(1), 1–14.
  12. Harris, F. M. (1913). How many parts to make at once, Factory, The Magazine of Management, 10(2), 135–136.
  13. Islam, S. (2008). Multi-objective marketing planning inventory models: A geometric programming approach, Applied Mathematics and Computation, 205(1), 238–246.
  14. Islam, S., & Mandal, W. A. (2017). A fuzzy inventory model (EOQ Model) with unit production cost, time depended holding cost, without shortages under a space constraint: A fuzzy parametric geometric programming (FPGP) approach, Independent Journal of Management & Production (IJM&P), 8(2), 299–318.
  15. Jana, B., & Roy, T. K. (2007). Multi-objective intuitionistic fuzzy linear programming and its application in transportation model, Notes on Intuitionistic Fuzzy Sets, 13(1), 34–51.
  16. Janseen, L., Claus, T., & Sauer, J. (2016). Literature review of deteriorating inventory models by key topics from 2012 to 2015, International Journal of Production Economics, 182, 86–112.
  17. Jung, H., & Klein, C. M. (2005). Optimal inventory policies for an economic order quantity model with decreasing cost functions, European Journal of Operational Research, 165(1), 108–126.
  18. Jung, H., & Klein, C. M. (2006). Optimal inventory policies for profit maximizing EOQ models under various cost functions, European Journal of Operational research, 174(2), 689–705.
  19. Kaur, P., & Rachana, K. N. L. (2016) An intuitionistic fuzzy optimization approach to vendor selection problem, Perspective in Science, 8, 348–350.
  20. Kochenberger, G. A. (1971). Inventory models: optimization by geometric programming, Decision Sciences, 2(2), 193–205.
  21. Lee, W. J. (1994). Optimal order quantities and prices with storage space and inventory investment limitations, Computers & Industrial Engineering, 26(3), 481–488.
  22. Mahapatra, G. S., Mandal, T. K., & Samanta, G. P. (2013) EPQ model with fuzzy coefficient of objective and constraint via parametric geometric programming, International Journal of Operational Research, 17(4), 436–448.
  23. Mandal, N. K., Roy, T. K., & Maiti, M. (2006). Inventory model of deteriorated items with a constraint: A geometric programming approach, European Journal of Operational Research, 173(1), 199–210.
  24. Nezami, F. G., Aryanezhad, M. B., & Sadjadi, S. J. (2009). Determining optimal demand rate and production decisions: A geometric programming approach , World Academy of Science, Engineering and Technology International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering, 3(1), 55–60.
  25. Park, K. S. (1987). Fuzzy-set theoretic interpretation of economic order quantity, IEEE Transactions on Systems, Man, and Cybernetics, 17(6), 1082–1084.
  26. Pramanik, S., & Roy, T. K. (2005). An intuitionistic fuzzy goal programming approach to vector optimization problem, Notes on Intuitionistic Fuzzy Sets, 11(5), 1–14.
  27. Roy, T. K., & Maiti, M. (1997). A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity, European Journal of Operational Research, 99(2), 425–432.
  28. Sadjadi, S. J., Aryanezhad, M. B., & Jabbarzadeh, A. (2010). Optimal marketing and production planning with reliability consideration, African Journal of Business Management, 4(17), 3632–3640.
  29. Sadjadi, S. J., Hesarsorkh, A. H., Mohammadi, M., &Naeini, A. N. (2015). Joint pricing and production management:a geometric programming approach with consideration of cubic production cost function, Journal of Industrial Engineering International, 11(2), 209–223.
  30. Sommer, G. (1981). Fuzzy inventory scheduling, in applied systems, Applied Systems and Cybernetics, G. Lasker Edition, Academic Press, New York, 16(6), 3052–3062.
  31. Tabatabaei, S. R. M., Sadjadi, S. J., & Makui, A. (2017). Optimal pricing and marketing planning for deteriorating items, PLOS ONE, 12(3), 1–21.
  32. Tanaka, H., Okuda, T., & Asai, K. (1974). On fuzzy-mathematical programming, Journal of Cybernetics, 3(4), 37–46.
  33. Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8(3), 338–353.
  34. Zener, C. M. (1961). A mathematical aid in optimizing engineering design, Proceedings of the National Academy of Sciences of the United States of America, 47(4), 537–539.
  35. Zener, C. M. (1962). A further mathematical aid in optimizing engineering design, Proceedings of the National Academy of Sciences of the United States of America, 48(4), 518–522.
  36. Zimmerman, H. J. (1976). Description and optimization of fuzzy systems, International Journal of General Systems, 2(1), 209–215.
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