Chitkara University Publications

Inventory Model of Deteriorating Items for Linear Holding Cost with Time Dependent Demand

Abstract:

The objective of this model is to investigate the inventory system for perishable items with time proportional deterioration rate. The Economic order quantity is determined for minimizing the average total cost per unit time. The model is developed for time-dependent demand rate with finite time horizon and linear holding cost with a shortage. The result is illustrated with a numerical example.

Author(s):

  • N.Mishra, Department of M.B.A Berhampur University, Berhampur Odisha, India
  • S.P. Mishra, Swarnamayee Nagar Berhampur-760001 Odisha, India
  • Srichandan Mishra, Department of Mathematics Govt. Science College Malkangiri, Odisha, India
  • J. Panda, Department of Commerce Berhampur University Berhampur , Odisha, India
  • U.K.Misra, National Institute of Science and Technology Palur Hill,Berhampur Odisha, India

DOI: 

Keywords: 

Time dependent Demand, Optimal control, Inventory system, Shortage

References:

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Donaldson, W.: “Inventory replenishment policy for a linear trend in demand an analytical solution,” Oper. Res. Quart., vol28, pp.663-670, June (1977).

Ghare, P.M. and Schrader, S.F.: “A model for exponentially decaying inventory”. J. Ind. Eng, 14 (5) 238-243 (1963).

Kang, S. and Kim, I.: “A study on the price and production level of the deteriorating inventory system”. Int. J. Prod. Res. 21 449-460 (1983).

http://dx.doi.org/10.1080/00207548308942422

R Raafat, F. Wolfe, P.M. and Eldin, H.K.: “An inventory model for deteriorating items”. Comp. Ind. Eng. 20 89-94 (1991).

http://dx.doi.org/10.1016/0360-8352(91)90043-6

Silver, E., and Meal, H.: “A heuristic for selecting for size quantities for the case of deterministic time-varying demand rate and discrete opportunities for replenishment,” Pro. Inv. Mana., vol.14, pp.64-74, February (1973).

Wee, H.M.: “A replenishment policy for items with a price-dependent demand and a varying rate of deterioration”. Prod. Plan. Control 8(5) 494-499 (1997).

http://dx.doi.org/10.1080/095372897235073

 

 

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