Multi-Item EOQ Model with Demand Dependent on Unit Price
Applied and Computational Mathematics
Volume 2, Issue 6, December 2013, Pages: 149-151
Received: Nov. 11, 2013; Published: Dec. 20, 2013
Views 2662      Downloads 133
Authors
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
Article Tools
PDF
Follow on us
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.
Keywords
Inventory, Rate Of Production, KKT Conditions, Demand Dependent On Unit Cost, Fuzzy Unit Cost, Triangular Fuzzy Number
To cite this article
R. Kasthuri, C. V. Seshaiah, Multi-Item EOQ Model with Demand Dependent on Unit Price, Applied and Computational Mathematics. Vol. 2, No. 6, 2013, pp. 149-151. doi: 10.11648/j.acm.20130206.17
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.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186