Abstract
Finding out the replenishment policy is a hot topic of research in inventory management. In this article, we propose an optimal replenishment policy by considering stock dependent consumption rate for non instantaneous deteriorating items with money inflation and time discounting. In this model shortages are allowed and backlogging is partial. Solution procedure is given and explained with examples. The impact of various parameters of the system on the optimal solution is analyzed by carrying out sensitivity analysis with perturbations in various parameters.
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References
Levin R.I., McLaughlin C.P., Lamone R.P., Kottas J.F.: Productions operations management: contemporary policy for managing operating systems, McGraw-Hill, New York, 373 (1972)
Gupta R., Vrat P.: Inventory model with multi-items under constraint systems for stock dependent consumption rate, Oper Res, 24, 41–42 (1986)
Mandal B.N., Phaujdar S.: An inventory model for deteriorating items and stock-dependent consumption rate, J Oper Res Soc, 40, 483–488 (1989)
Datta T.K., Paul K., Pal A.K.: Demand promotion by upgradation under stock-dependent demand situation — a model, Int J Prod Econ, 55, 31–38 (1998)
Dye C.Y.: A deteriorating inventory model with stock-dependent demand and partial backlogging under conditions of permissible delay in payment, Opsearch, 39, 189–201 (2002)
Ghare P.M, Schrader G.H.: A model for exponentially decaying inventory system, Int J Prod Res, 21, 449–460 (1963)
Philip G.C.: A generalized EOQ model for items with Weibull distribution, AIIE Trans, 6, 159–162 (1974)
Deb M., Chaudhuri K.S.: An EOQ model for items with finite rate of production and variable rate of deterioration, Opsearch, 23, 175–181, (1986)
Shah H.N., Shah Y.K.: Literature survey on inventory models for deteriorating items”, Econ Ann, XLIV, 44, 221–237 (2000)
Goyal S.K., Giri B.C.: Recent trends in modeling of deteriorating inventory, Eur J Oper Res, 134, 1–16 (2001)
Park K.S.: Inventory models with partial backorders, Int J Syst Sci, 13, 1313–1317 (1982)
Hollier R.H. Mak. K.L.: Inventory replenishment policies for deteriorating items in a declining market, Int J Prod Econ, 21, 813–826 (1983)
Wee H.M.: A deterministic lot-size inventory model for deteriorating items with shortages and a declining market, Comput Oper Res, 22, 345–356 (1995)
Goyal S.K, Giri B.C.: The production-inventory problem of a product with time varying demand, production and deterioration rates, Eur J Oper Res, 147, 549–557 (2003)
Buzacott L.A.: Economic order quantities with inflation, Oper Res, Q 26, 553–558 (1975)
Vrat P., Padmanaban G.: An inventory model under inflation for stock dependent consumption rate items, Eng Prod Econ, 19, 379–383 (1990)
Chung K.J., Lin C.N.: Optimal inventory replenishment models for deteriorating items taking account of time discounting, Comput Oper Res, 28, 67–83 (2001)
Wee H.M, Law S.T.: Replenishment and pricing policy for deteriorating items taking in to account the time value of money”, Int J Prod Econ, 71, 213–220 (2001)
Sana S., Chaudhuri K.S., An EOQ model with Time-dependent demand Inflation and money value for ware-house enterprises, Adv Model Optim, 5, 135–146 (2003)
Wu K.S., Ouyang L.Y., Yang C.T.: An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging, Int J Prod Econ, 101, 369–384 (2006)
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Uthayakumar, R., Geetha, K.V. Replenishment policy for single item inventory model with money inflation. OPSEARCH 46, 345–357 (2009). https://doi.org/10.1007/s12597-009-0023-0
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DOI: https://doi.org/10.1007/s12597-009-0023-0