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Patel, Shital S.
- Production Inventory Model for Deteriorating Items with Demand Dependent Production Rate, Time Varying Holding Cost and Shortages
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PDF Views:8
Authors
Affiliations
1 Department of Statistics, Veer Narmad South Gujarat University, Surat., IN
1 Department of Statistics, Veer Narmad South Gujarat University, Surat., IN
Source
Indian Journal of Computational & Applied Mathematics, Vol 1, No 1 (2013), Pagination: 177-186Abstract
A production inventory model for deteriorating items with demand dependent production rate is developed. Holding cost is linear function of time. Shortages are allowed and completely backlogged. Sensitivity with respect to parameters has been carried out. Numerical example is considered to support the model.Keywords
Inventory, Deterioration, Production, Time Varying Holding Cost, Shortages
References
- Alfares, H. (2007): Inventory model with stock level dependent demand rate and variable holding cost; International J. Production Economics, Vol. 108, pp.259-265.
- Bahari-Kashani, H. (1989): Replenishment schedule for deteriorating items with time proportional demand; J. Oper. Res. Soc., Vol. 40, pp.75-81.
- Balkhi, Z.T. (2001): On a finite horizon production lot size inventory model for deteriorating items: An optimal solution; Euro. J. Oper. Res., Vol. 132, pp.210-223.
- Dave, U. and Patel, L.K. (1981): Policy inventory model for deteriorating items with time proportional demand; J. Oper. Res. Soc., Vol. 32, pp.137-142.
- Deb, M. and Chaudhuri, K.S. (1987): A note on the heuristic for replenishment of trended inventories considering shortages; J. Oper. Res. Soc., Vol. 38, pp.459-463.
- Ghare, P.N. and Schrader, G.F. (1963): A model for exponentially decaying inventories; J. Indus. Engg., Vol. 15, pp.238-243.
- Ghosh, S.K., Goyal, S.K. and Chaudhuri, K.S. (2006): An inventory model with Weibull demand rate, finite rate of production and shortages; International J. of Systems Sciences, Vol. 37, pp.1003-1009.
- Goyal, S.K. and Giri, B.C. (2003): The production inventory problem of a product with time varying demand, production and deterioration rates; Euro. J. Oper. Res., Vol. 147, pp.549-557.
- Hariga, M. (1994): The inventory lot-sizing problem with continuous time varying demand and shortages; J. Oper. Res. Soc., Vol. 45, pp.827-837.
- Hariga, M. (1995): An EOQ model for deteriorating items with shortages and time varying demand; J. Oper. Res. Soc., Vol. 46, pp.398-404.
- Kalam, A., Samal, D., Sahu, S.K. and Mishra, M. (2010): A production lot size inventory model for Weibull deteriorating item with quadratic demand, quadratic production and shortages; International J. of Computer Science and Communication, Vol. 1, pp.259-262.
- Khanra, S. and Chaudhuri, K.S. (2011): A production inventory model for a deteriorating item with shortage and time dependent demand; Yugoslav J. of Oper. Res., Vol. 21, pp.29-45.
- Niketa, J.M. and Shah, N.H. (2006): Order level lot size model for deteriorating items with exponentially decreasing demand; Math. Today, Vol. 22, pp.45-52.
- Patra, S.K., Bala, P.K. and Ratha, P.C. (2010): An economic order quantity model for deteriorating items with increasing time varying demand and cost; J.Modern Maths. and Stat., Vol. 4(2), pp.63-67.
- Raafat, F. (1991): Survey of literature on continuous deteriorating inventory model, J. Oper. Res. Soc., Vol. 42, pp.27-37.
- Ruxian, Li, Hongjie L. and Mawhinney, J.R. (2010): A review on deteriorating inventory study; J. Service Sci. & Mgt, Vol. 3, pp.117-129.
- Sachan, R.S. (1984): On (T,Si) policy inventory model for deteriorating items with time proportional demand; J. Oper. Res. Soc., Vol. 35, pp.1013-1019.
- Shah, Y.K. and Jaiswal, M.C. (1977): An order level inventory model for a system with constant rate of deterioration, Opsearch, Vol. 14, pp.174-184.
- Sharma, V. and Chaudhary, R.R. (2013): An inventory model for deteriorating items with Weibull deterioration with time dependent demand and shortages;
- Research Journal of Management Sciences, Vol. 2, pp.28-30.
- Tripathy, C.K. and Mishra, U. (2011): An EOQ model with time dependent Weibull deterioration and ramp type demand; International J. of Industrial Engineering Computations, Vol. 2, pp.307-318.
- Within, T.M. (1957): Theory of inventory management, Princeton University Press, Princeton, NJ.
- Deteriorating Items Production Inventory Model with Demand Dependent Production Rate and Varible Holding Cost
Abstract Views :444 |
PDF Views:4
Authors
Affiliations
1 Department of Statistics, Veer Narmad South Gujarat University Surat., IN
1 Department of Statistics, Veer Narmad South Gujarat University Surat., IN
Source
Indian Journal of Mathematics Research, Vol 1, No 1 (2013), Pagination: 61-70Abstract
In this paper a production inventory model for deteriorating items with demand dependent production rate is developed. Holding cost is linear function of time. The model has been framed to study the items whose deterioration rate increase with time. Sensitivity with respect to parameters has been carried out. Numerical example is taken to support the model.Keywords
Inventory, Deterioration, Production, Time Varying Holding CostReferences
- Aggarwal, S.P. (1978): A note on an order level inventory model for a system with constant rate of deterioration; Opsearch, Vol. 15, pp. 184-187.
- Bahari-Kashani, H. (1989): Replenishment schedule for deteriorating items with time proportional demand; J. Oper. Res. Soc., Vol. 40, pp.75-81.
- Balkhi, Z.T. (2001): On a finite horizon production lot size inventory model for deteriorating items: An optimal solution; Euro. J. Oper. Res., Vol. 132, pp. 210-223.
- Dave, U. and Patel, L.K. (1981): Policy inventory model for deteriorating items with time proportional demand; J. Oper. Res. Soc., Vol. 32, pp. 137-142.
- Deb, M. and Chaudhuri, K.S. (1987): A note on the heuristic for replenishment of trended inventories considering shortages; J. Oper. Res. Soc., Vol. 38, pp. 459-463.
- Donaldson, W.A. (1977): Inventory replenishment policy for a linear trend in demand an analytical solution; Oper. Res. Quart., Vol. 28, pp. 663-670.
- Ghare, P.N. and Schrader, G.F. (1963): A model for exponentially decaying inventories; J. Indus. Engg., Vol. 15, pp. 238-243.
- Goyal, S.K. and Giri, B.C. (2001): Recent trends in modeling of deteriorating inventory; Euro. J. O.R., Vol. 134(1), pp. 1-16.
- Goyal, S.K. and Giri, B.C. (2003): The production inventory problem of a product with time varying demand, production and deterioration rates; Euro. J. Oper. Res., Vol. 147, pp. 549-557.
- Hariga, M. (1994): The inventory lot-sizing problem with continuous time varying demand and shortages; J. Oper. Res. Soc., Vol. 45, pp. 827-837.
- Hariga, M. (1995): An EOQ model for deteriorating items with shortages and time varying demand; J. Oper. Res. Soc., Vol. 46, pp. 398-404.
- Niketa, J.M. and Shah, N.H. (2006): Order level lot size model for deteriorating items with exponentially decreasing demand; Math. Today, Vol. 22, pp. 45-52.