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Design and Analysis of an Optimal Inventory Model for Perishable Goods with Fixed Life Time


  • SAS, Mathematics Division, VIT University, Chennai-600127, Tamil Nadu, India
  • Department of Mathematics, VELTECH University, Chennai-600085, Tamil Nadu, India


Background/Objectives: The main purpose of this paper is to plan and implement an optimum inventory model for the deteriorating things that minimizes the entire expected cost over a finite horizon. Methods/Statistical Analysis: The model presents a projected price operates for the inventory system with fixed life time. This paper accords with the hassle of ciphering optimum ordering policies for one item for successive intervals. Hyper geometric probability distribution is taken into consideration to examine the expected outdated cost. Findings: The optimum inventory model is solved analytically to review the impact of modification within the worth of the parameters. The solution methodology provided within the model helps the choice maker to enforce the first in first out policy by exposing customers to merchandise of a similar age. The results have been explained with numerical examples and graphical illustration. Applications/Improvements: First in First out issuing policy is designed to reveal the fact that it minimizes the expected outdates.


Fixed Lifetime, Inventory, Lead Time, Optimal, Perishable

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  • Goyal S K, Giri BC. Recent trends in modeling of deteriorating inventory, European Journal of Operational Research. 2001; 134(1):1–16.
  • Wu KS, Ouyang LY, Yang CT. An optimal replenishment policy for non-instantaneous deterioration items with stock-dependent demand and partial backlogging. International Journal of Production Economics. 2006; 101:369–84.
  • Mak KL. A production lot size inventory model for deteriorating items. Computers & Industrial Engineering. 1982; 6:309–17.
  • Nahimas S. Perishable inventory theory: a review. Operations Research.1982; 30(3):680–708.
  • Van Zyl GJJ. Inventory control for Perishable Commodities. Unpublished Ph.D. Dissertation, University of North Carolina; 1964.
  • Nahmias S. Optimal ordering policies for perishable inventory –II. Operations Research. 1974; 23(4):735–49.
  • Fries BE. Optimal ordering policy for a perishable commodity with fixed lifetime. Operations Research.1975; 23(1):46–61.
  • Nandakumar P, Morton TE. Near myopic heuristic for the fixed life perishability problem. Management Science.1993; 39(12):1490–98.
  • Liu L, Lian Z. (s, S) continuous review models for inventory with fixed lifetimes. Operations Research.1999; 47(1):150– 58.
  • Giri BC, Chaudhusri KS. Deterministic models of perishable inventory with stock-dependent demand rate and non-linear holding cost. European Journal of Operations Research. 1998; 105:467–74.
  • Dave U, Patel L. (T, s1) - policy inventory model for deteriorating items with time proportional demand. Journal of Operational Research Society.1981; 32: 137–42.
  • Balkhi ZT, Benkherouf L. A production lot-size inventory model for deteriorating items and arbitrary production and demand rate. European Journal of Operational Research.1996; 92:302–9.
  • Mukhopadhyay SR, Mukherjee N, Chaudhuri KS. Joint pricing and ordering policy for a deteriorating inventory. Computers & Industrial Engineering. 2004; 47:339– 49.
  • Balkhi ZT, Benkherouf L. On an inventory model for deteriorating items with stock dependent and time-varying demand rates. Computers and Operations Research. 2004; 31(2):223–40.
  • Balkhi ZT, Benkherouf L. On an inventory model for deteriorating items with stock dependent and time-varying demand rates. Computers & Operations Research. 2004; 31(2):223–40.
  • Mahapatra NK. EOQ model for a deteriorating item with lead-time under inflation over a finite time horizon. International Journal of Mathematics and its Applications. 2015; 3:7–19.
  • Mahmoodi A, Haji A, Haji R. One for one period policy for perishable inventory. Computers & Industrial Engineering. 2015; 79:10–17.
  • Enagbonma O, Eraikhuemen IB. Optimal ordering policies for the Inventory system with fixed lifetime. Australian Journal of Basic and Applied Sciences .2011; (5):3343–48.
  • Tayal S, Singh SR, Sharma R. Multi item inventory model for deteriorating items with expiration date and allowable shortages. Indian Journal of Science and Technology. 2014; 7(4):463–71. DOI: 10.17485/ijst/2014/v7i4/48636.


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