Multi-Item EOQ Model with Demand Dependent on Unit Price

R. Kasthuri; C. V. Seshaiah

doi:doi:10.11648/j.acm.20130206.17

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Multi-Item EOQ Model with Demand Dependent on Unit Price

R. Kasthuri, C. V. Seshaiah

Published in Applied and Computational Mathematics (Volume 2, Issue 6)

Received: 11 November 2013 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.

Published in	Applied and Computational Mathematics (Volume 2, Issue 6)
DOI	10.11648/j.acm.20130206.17
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), 2013. Published by Science Publishing Group

Keywords

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

References

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[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.

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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://article.sciencepublishinggroup.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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TY  - JOUR
T1  - Multi-Item EOQ Model with Demand Dependent on Unit Price
AU  - R. Kasthuri
AU  - C. V. Seshaiah
Y1  - 2013/12/20
PY  - 2013
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DO  - 10.11648/j.acm.20130206.17
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 149
EP  - 151
PB  - Science Publishing Group
SN  - 2328-5613
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AB  - 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.
VL  - 2
IS  - 6
ER  -

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Author Information

R. Kasthuri

Department of Mathematics, Sri Ramakrishna Engineering College, Coimbatore, TN, IN
C. V. Seshaiah

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Multi-Item EOQ Model with Demand Dependent on Unit Price
AU  - R. Kasthuri
AU  - C. V. Seshaiah
Y1  - 2013/12/20
PY  - 2013
N1  - https://doi.org/10.11648/j.acm.20130206.17
DO  - 10.11648/j.acm.20130206.17
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 149
EP  - 151
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130206.17
AB  - 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.
VL  - 2
IS  - 6
ER  -

Copy | Download