A MATHEMATICAL INVENTORY MODEL FOR DETERIORATING ITEMS WITH STOCK DEPENDENT DEMAND UNDER INFLATION, PARTIAL BACKLOGGING AND SHORTAGES

Authors

  • Shallu, Arun Kumar Tomer D.A.V College, Ambala, Haryana, India. SMDRSD College, Pathankot, Punjab, India.

Keywords:

inventory, stock dependent demand, deterioration, shortage, partial backlogging, inflation.

Abstract

- In this paper a deterministic inventory model for perishable items with stock dependent demand and deterioration under inflation is developed. In this study an economic order quantity (EOQ) model is studied in which shortages are partially backlogged and the replenishment cycles and the shortage intervals are time dependent. Model is considered for finite planning horizon under inflationary conditions. The study discusses the profit analysis of inventory system under the parameters of deterioration, stock dependent demand and inflation. The results are illustrated with the help of numerical example. The sensitivity of the solution with the change of the values of the parameters associated with the model is also discussed.

References

Chung KJ.,Chu P.,Lan SP. A note on EOQ models for deteriorating items under stock dependent selling rate, Eur.J.Oper.Res., 2000,124(3):550–559.

Balki, ZT.,Benkherouf,L. An inventory model for deteriorating items with stock dependent and time varying demand rates.Comput.Oper.Res.,2004,31(2):223–240.

Chang C.T.,Goyal,S.K.,Teng J.T. An EOQ model for perishable items under stock dependent selling rate and time dependent partial backlogging’ by DyeandOuyang.Eur.J.Oper.Res., 2006,174(2):923–929.

Wu K.S., Ouyang LY.,Yang C.T. An optimal replenishment policy for non- instantaneous deteriorating items with stock dependent demand and partial backlogging. Int.J.Prod.Econ. 2006,101(2):369–384.

Chung C.J., Wee H.M. Scheduling and replenishment plan for an integrated deteriorating inventory model with stock dependent selling rate. Int. J. of Advance Management Technology, 2007,35(7–8): 665–679.

Goyal,S.K.,Chang,C.T. Optimal ordering and transfer policy for an inventory with stock dependent demand. Eur.J.Oper.Res., 2009,196(1):177–185.

Yang, H.L.,Teng,J.T.,Chern,M.S. An inventory model under inflation for deteriorating items with stock dependent consumption rate and partial back- logging, shortages. Int. J. Production Economics, 2010,123(1):8–19.

Zhou YW., Min J. & Goyal S. K.. Supply-chain coordination under an inventory-level-dependent demand rate. International Journal of Production Economics, 2008, 11(3): 518–527.

G. Padmanabhan, Prem Vrat. EOQ models for perishable items under stock dependent selling rate, European J. Oper. Res., 1995, 8(6):281–292.

Alfares H.K. Inventory model with stock-level dependent demand rate and variable holding cost. International Journal of Production Economics, 2007, 108 (12): 259–265.

Hou K.L. An inventory model for deteriorating items with stock- dependent consumption rate and shortages under inflation and time discounting., European Journal of Operational Research,2006, 168 (2): 463–474.

Wu Chengfeng, Zhao Qiuhong. Supplier-retailer inventory coordination with credit term for inventory-dependent and linear- trend demand.Int. Trans.in Op. Res.,2014,797-818.

J. Moon, S. Lee. The effects of inflation and time value of money on an economic order quantity model with a random production life cycle., Eur. J. Oper.Res.,2000, 12(5):588–601.

J.M. Chen. An Inventory model for deteriorating items with time-proportional demand and shortages under inflation and time discounting., Int. J. Prod.Econ.,1998, 5(5) : 21–30.

J.K. Dey, S. Kar, M. Maiti. An EOQ model with fuzzy lead time over a finite time horizon under inflation and time value of money., Tamsui Oxford J.Manag. Sci.,2004, 20: 57–77.

J.A. Buzacott. Economic order quantities with inflation, Oper. Res..1975,2(6):553–558.

M. Hariga, M. Ben-daya. Optimal time-varying lot sizing models under inflationary conditions., Eur. J. Oper. Res.,1996, 8(9):313–325.

C.K. Jaggi, K.K. Aggarwal, S.K. Goyal. Optimal Order Policy for Deteriorating Items with Inflation Induced Demand, Int. J. Prod. Econ.,2006, 10(3):707–714.

R.P. Tripathi, S.S. Mishra, H.S. Shukla. A cash flow oriented EOQ model under permissible delay in payments, Int. J. Eng. Sci. Tech.,2010,2:123–131.

C.T. Chang. An EOQ model with deteriorating items under inflation when supplier credits linked to ordering quantity, Int. J. Prod. Econ.,2004, 8(8):307–316.

P.C. Yang. Pricing strategy for deteriorating items using quantity discount when demand is price sensitive, Eur. J. Oper. Res.,2004, 15(7): 389–397.

S.R. Singh, N. Kumar, R. Kumari. Two-warehouse Inventory Model for Deteriorating Items with Shortages under Inflation and Time-value of Money., Int.J. Comput. Appl. Math., 2009,4(1): 83–94.

J.K. Dey, S.K. Mondal, M. Maiti. Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money, Eur. J. Oper. Res.,2008, 18(5):170–194.

Downloads

Published

2016-02-29