AN EOQ INVENTORY MODEL USING RAMP TYPE DEMAND WITH DETERIORATION AND SHORTAGES
DOI:
https://doi.org/10.29121/ijetmr.v5.i2.2018.665Keywords:
Inventory Model, Ramp Type Demand, Deterioration, ShortagesAbstract
In this paper an EOQ Inventory model is developed in which inventory is depleted not only by demand also by deterioration, here demand rate is a ramp type function of time also the in this model shortages are allowed. The model is solved analytically by enumerating two possible shortages models to obtain the optimum solution.
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Harris, F.: Operations and costs (Factory Management Series), pp.18-52. A.W.Shaw Co, Chicago (1915).
Ghare, P.M., Schrader, G.F.: A model for exponentially decaying inventories, J. Ind. Eng., Vol.14, pp.238-243, 1963.
Goel, V.P., Aggarwal S.P.: Order level inventory system with power demand pattern for deteriorating items, Proceedings of all India seminar on Operational Research and Decision making, University of Delhi, Delhi-110007, 1981.
Covert, R.P., Philip, G.C.: An EOQ model for items with Weibull distribution deterioration, AIIE Trans., Vol.5, pp.323-326, 1973. DOI: https://doi.org/10.1080/05695557308974918
Aggarwal, S.P.: A note on an order – level inventory model for a system with constant rate of deterioration, Opsearch, Vol.15, pp.184-187, 1978.
Cohen, A.C.: The reflected Weibull distribution, Tecnometrics, Vol.15. Pp.867-873, 1973. DOI: https://doi.org/10.1080/00401706.1973.10489119
Misra, R.B.: Optimum production lot size model for a system with deteriorating inventory, International Journal of Production Research, Vol.13, pp.495-505, 1975. DOI: https://doi.org/10.1080/00207547508943019
Richie, E.: The EOQ for linear increasing demand, A simple optimal solution, Journal of the Operational Research Society, Vol.35, pp.949-952, 1984. DOI: https://doi.org/10.1057/jors.1984.186
Tadikamalla, P.R.: An EOQ inventory model for items with Gamma distributed deterioration, AIIE Trans., Vol.10, pp.100-103, 1978. DOI: https://doi.org/10.1080/05695557808975189
S.P.Singh and V.K.Sehgal “An EOQ model with power demand, generalized Weibull distributed deterioration and shortages.” in International Journal of Ultra Scientist of Physical Sciences, Vol. 23, No.1, 2011, pp. 131-138.
Ghosh, S.K., Chaudhari, K.S.: An order level inventory model for a deteriorating item with Weibull distribution deterioration, time quadratic demand and shortages, Advanced Modeling and Optimization, Vol.6, pp.21-35, 2004.
Donaldson, W.A.: Inventory replenishment policy for a linear trend in demand – An analytical solution, Operational Research Quarterly, Vol.28, pp.663-670, 1977. DOI: https://doi.org/10.1057/jors.1977.142
Silver, E.A.: A simple inventory replenishment decision rule for a linear trend in demand, Journal of the Operational Research Society, Vol.30, pp.71-75, 1979. DOI: https://doi.org/10.1057/jors.1979.8
Datta, T.K., Pal, A.K.: Order level inventory system with power demand pattern for items with variable rate of deterioration, Indian J. Pure Appl. Math., Vol.19, No.11, pp.1043-1053, 1988.
Deb, M., Chaudhari, K.S.: An EOQ model for items with finite rate of production and variable rate of deterioration, Opsearch, Vol.23, pp.175-181, 1986.
Pal, A.K., Mandal, B.: An EOQ model for deteriorating inventory with alternating demand rates, The Korean Journal of Computational and Applied Mathematics, vol.4, No.2, pp.397-407, 1997. DOI: https://doi.org/10.1007/BF03014487
Dave, U., Patel, U.K.: ( t, s1 ) Policy inventory model for deteriorating items with time proportional demand, Journal of Operational Research Society, Vol.32, pp.137-142, 1981. DOI: https://doi.org/10.1057/jors.1981.27
S.P.Singh and G.C.Panda “An Inventory model for generalised Weibull deteriorating items with price dependent demand and permissible delay in payments under inflation.” Log Forum, Vol. 11(3), 2015, 259-266.
Shah, Y.K., Jaiswal, M.C.: An order level inventory model for a system with constant rate of deterioration, Opsearch, Vol.14, pp.174-184, 1977.
Jalan, A.K., Giri, R.R. and Chaudhuri, K.S.: EOQ model for items Weibull distribution deterioration, shortages and trended demand, International Journal of Systems Science, Vol.27, pp.851-855, 1996. DOI: https://doi.org/10.1080/00207729608929285
Giri, S.C., Goyal S.K.: Recent trends in modelling of deteriorating inventory, Eur. J. Oper. Res., Vol.134, pp.1-16, 2001. DOI: https://doi.org/10.1016/S0377-2217(00)00248-4
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