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Two Storage Inventory Model for Deteriorating Items Under Fuzzy Environment

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Proceedings of the Third International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 258))

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Abstract

In the present study, we investigate a two-warehouse economic order quantity model for deteriorating items in which demand increases with respect to time. Shortages are allowed and partially backlogged. This study has been done with two types of model, first one is crisp model and the second is fuzzy model. In crisp model the capacity of the own-warehouse, holding cost, unit cost, shortage cost and opportunity cost are taken as the form of real numbers and in fuzzy model, these are taken as a triangular fuzzy numbers. Graded Mean Representation method is used to defuzzify the total cost function in case of fuzzy model. To illustrate the model numerical examples are given and sensitivity analysis has been done.

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References

  1. Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  2. Park, K.: Fuzzy-set theoretic interpretation of economic order quantity. In: IEEE Transactions on Systems, Man, and Cybernetics SMC-17, pp. 1082–1084 (1987)

    Google Scholar 

  3. Vujosevic, M., Petrovic, D., Petrovic, R.: EOQ formula when inventory cost is fuzzy. Int. J. Prod. Econ. 45, 499–504 (1996)

    Article  Google Scholar 

  4. Lee, H.M., Yao, J.S.: Economic order quantity in fuzzy sense for inventory without backorder model. Fuzzy Sets Syst. 105, 13–31 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  5. Dutta, P., Chakraborty, D., Roy, A.R.: A single-period inventory model with fuzzy random variable demand. Math. Comput. Model. 41(8–9), 915–922 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  6. Roy, A., Samanta, G.P.: Fuzzy continuous review inventory model without backorder for deteriorating items. Electron. J. Appl. Stat. Anal. 2(1), 58–66 (2009)

    Google Scholar 

  7. Singh, S.R., Jain, S., Pareek, S.: A warehouse imperfect fuzzified production model with shortages under inflationary conditions. Adv. Decis. Sci. 12, 1–16 (2013)

    Article  Google Scholar 

  8. Singh, S.R., Kumar, N., Kumari, R.: Two-warehouse fuzzy inventory model under the conditions of permissible delay in payments. Int. J. Oper. Res. 11(1), 78–99 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  9. Hartely, V.R.: Operations Research—A Managerial Emphasis, pp. 315–317. Good Year, Santa Monica (1976)

    Google Scholar 

  10. Murdeshwar, T.M., Sathe, Y.S.: Some aspects of lot size models with two levels of storage. Opsearch 22, 255–262 (1985)

    MATH  MathSciNet  Google Scholar 

  11. Goswami, A., Chaudhuri, K.S.: An economic order quantity model for items with two levels of storage for a linear trend in demand. J. Oper. Res. Soc. 43, 157–167 (1992)

    MATH  Google Scholar 

  12. Bhunia, A.K., Maity, M.: A two-warehouse inventory model for deteriorating items with linear trend in demand and shortages. J. Oper. Res. Soc. 49, 287–292 (1998)

    MATH  Google Scholar 

  13. Yang, H.L.: A two-warehouse inventory models for deteriorating items with shortages under inflation. Eur. J. Oper. Res. 157, 344–356 (2004)

    Article  MATH  Google Scholar 

  14. Yang, H.L.: Two-warehouse partial backlogging inventory models for deteriorating items under inflation. Int. J. Prod. Econ. 103(1), 362–370 (2006)

    Article  Google Scholar 

  15. Sett, B.K., Sarkar, B., Goswami, A.: A two-warehouse inventory model with increasing demand and time varying deterioration. Scientia Iranica 19, 1969–1977 (2012)

    Article  Google Scholar 

  16. Ghare, P.M., Schrader, G.P.: A model for exponentially decaying inventory. J. Ind. Eng. 14, 228–243 (1963)

    Google Scholar 

  17. Aggarwal, S.P.: A note on an order level inventory model for a system with constant rate of deterioration. Opsearch 15, 184–187 (1978)

    MATH  MathSciNet  Google Scholar 

  18. Dutta, T.K., Pal, A.K.: A note on an inventory model with inventory—level—dependent demand rate. J. Oper. Res. Soc. 41, 971–975 (1990)

    Google Scholar 

  19. Mandal, B.N., Phaujdar, S.: An inventory model for deteriorating items and stock dependent consumption rate. J. Oper. Res. Soc. 40, 483–488 (1989)

    MATH  Google Scholar 

  20. Balkhi, Z.T.: On a finite horizon production lot size inventory model for deteriorating items: an optimal solution. Eur. J. Oper. Res. 132, 210–223 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  21. Panda, S., Saha, S., Basu, M.: An EOQ model with generalized ramp-type demand and Weibull distribution deterioration. Asia Pac. J. Oper. Res. 24, 1–17 (2007)

    Article  MathSciNet  Google Scholar 

  22. Sana, S.S.: Demand influenced by enterprises’ initiatives—a multi-item EOQ model of deteriorating and ameliorating items. Math. Comput. Model. 52, 284–302 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  23. Sarkar, B., Sarkar, S.: An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand. Econ. Model. 30, 924–932 (2013)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, D.N. College, Meerut, India

    S. R. Singh &  Anuradha

  2. Department of Mathematics, Banasthali University, Banasthali, Rajasthan, India

    S. R. Singh &  Anuradha

Authors
  1. S. R. Singh
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  2. Anuradha
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Corresponding author

Correspondence to S. R. Singh .

Editor information

Editors and Affiliations

  1. Department of Paper Technology, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Millie Pant

  2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  3. Department of Mathematics and Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

  4. Department of Applied Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

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Singh, S.R., Anuradha (2014). Two Storage Inventory Model for Deteriorating Items Under Fuzzy Environment. In: Pant, M., Deep, K., Nagar, A., Bansal, J. (eds) Proceedings of the Third International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 258. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1771-8_75

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  • DOI: https://doi.org/10.1007/978-81-322-1771-8_75

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1770-1

  • Online ISBN: 978-81-322-1771-8

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