Applied and Computational Mathematics

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Multi-Item EOQ Model with Demand Dependent on Unit Price

Received: 11 November 2013    Accepted:     Published: 20 December 2013
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Abstract

A multi-item inventory model with demand dependent on unit cost without shortages is discussed in this paper. This paper presents a mathematical model of inventory control problem for determining the minimum total cost with limited storage space and investment. Apart from this, the warehouse space in the selling store is considered in volume. The model is solved using Kuhn-Tucker conditions method. The model is illustrated with a numerical example assuming unit price in fuzzy environment.

DOI 10.11648/j.acm.20130206.17
Published in Applied and Computational Mathematics (Volume 2, Issue 6, December 2013)
Page(s) 149-151
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Inventory, Rate Of Production, KKT Conditions, Demand Dependent On Unit Cost, Fuzzy Unit Cost, Triangular Fuzzy Number

References
[1] M.O.Abou-EL-Ata and K.A.M.Kotb , Multi-Item EOQ Inventory model with varying Holding cost under two restrictions: A Geometric programming Approach,Production Planning & Control, 6(1997),608-611.
[2] R.E.Bellman,L.A.Zadeh,Decision –making in a fuzzy environment Management Science 17(4)(1970) B141-B164
[3] T.C.E.Cheng, An Economic Order Quantity Model with Demand-Dependent unit cost, European Journal of Operational Research, 40(1989),252-256.
[4] P.K.Gupta, Man Mohan, Problems in operations Research (Methods & Solutions), S.Chand Co., (2003)609-610.
[5] B.M.Maloney and C.M. Klein, Constrained Multi-Item Inventory systems: An Implicit Approach, Computers Ops. Res. 6(1993),639-649.
[6] Nirmal Kumar Mandal, Et. al., "Multi-objective fuzzy inventory model with three constraints: a geometric programming approach", Fuzzy sets and systems, (150), 87-106, 2005
[7] K.S.Park,Fuzzy set theoretic interpretation of economic order quantity, IEEE Trans. Systems Man Cybernet. 17 (6) (1987) 1082-1084.
[8] G.Sommer,Fuzzy inventory scheduling ,in:G.Lasker(Ed.),Applied Systems and Cybernetics, Vol.VI, Academic Press.New York,1981.
[9] E. A. Silver and R. Peterson, "Decision Systems for In-ventory Management and Production Planning," John Wiley, New York, 1985.
[10] H. Tanaka, T. Okuda and K. Asai, "On Fuzzy Mathematical Programming," Journal of Cybernetics, Vol. 3, No. 4, 1974, pp. 37-46. doi:10.1080/01969727308545912
[11] H.A.Taha, Operations Research an introduction , Prentice-Hall of India(2005)725-728.
[12] L.A.Zadeh "Fuzzy sets ,Inform.and Control (1965) 338-353.
[13] H.J.Zimmermann , "Discription and optimization of fuzzy systems", Internat .J. General Systems 2(4) (1976) 209-215.
Author Information
  • Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, TN, IN

  • Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, Tamilnadu, India

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  • APA Style

    R. Kasthuri, C. V. Seshaiah. (2013). Multi-Item EOQ Model with Demand Dependent on Unit Price. Applied and Computational Mathematics, 2(6), 149-151. https://doi.org/10.11648/j.acm.20130206.17

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    ACS Style

    R. Kasthuri; C. V. Seshaiah. Multi-Item EOQ Model with Demand Dependent on Unit Price. Appl. Comput. Math. 2013, 2(6), 149-151. doi: 10.11648/j.acm.20130206.17

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    AMA Style

    R. Kasthuri, C. V. Seshaiah. Multi-Item EOQ Model with Demand Dependent on Unit Price. Appl Comput Math. 2013;2(6):149-151. doi: 10.11648/j.acm.20130206.17

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  • @article{10.11648/j.acm.20130206.17,
      author = {R. Kasthuri and C. V. Seshaiah},
      title = {Multi-Item EOQ Model with Demand Dependent on Unit Price},
      journal = {Applied and Computational Mathematics},
      volume = {2},
      number = {6},
      pages = {149-151},
      doi = {10.11648/j.acm.20130206.17},
      url = {https://doi.org/10.11648/j.acm.20130206.17},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.acm.20130206.17},
      abstract = {A multi-item inventory model with demand dependent on unit cost without shortages is discussed in this paper. This paper presents a mathematical model of inventory control problem for determining the minimum total cost with limited storage space and investment.  Apart from this, the warehouse space in the selling store is considered in volume.  The model is solved using Kuhn-Tucker conditions method.  The model is illustrated with a numerical example assuming unit price in fuzzy environment.},
     year = {2013}
    }
    

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