Abstract
This paper deals the problem of single deteriorating item, with stock-dependent and seasonal pattern demand rate. It is considered that a constant part of on-hand inventory deteriorates per unit of time. The model is solved for finite time horizon. The aim of this present paper is to give a new height to the inventory literature on stock-dependent and seasonal demand pattern. This paper can be applied in many realistic situations. Shortages are allowed and three different conditions of backlogging are discussed in this model. The purpose of this study is to optimize the overall cost of the system and to find out the optimal ordering quantity. To explain the model and its significant features a numerical illustration and sensitivity analysis with respect to different related parameters is also cited.
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Lau, A.H., Lau, H.S.: Effects of a demand-curve’s shape on the optimal solutions of a multi-echelon inventory pricing model. European J. Oper. Res. 147, 530–548 (2003)
Singh, S.R., Diksha, C.: Supply chain model in a multi-echelon system with inflation induced demand. Int. Trans. Appl. Sci. 1, 73–86 (2009)
Bhunia, A.K., Maiti, M.: Deterministic inventory model for deteriorating items with finite rate of replenishment dependent on inventory level. Comput. Oper. Res. 25, 907–1006 (1998)
Giri, B.C., Chaudhuri, K.S.: Deterministic models of perishable inventory with stock-dependent demand rate and nonlinear holding cost. European J. Oper. Res. 105, 467–474 (1998)
Singh, S.R., Singh, C.: Optimal ordering policy for decaying items with stock-dependent demand under inflation in a supply chain. Int. Rev. Pure and Appl. Math. 3, 189–197 (2008)
Hsu, P.H., Wee, H.M., Teng, H.M.: Optimal ordering decision for deteriorating items with expiration date and uncertain lead time. Comput. Ind. Eng. 52, 448–458 (2007)
Patel, S.S.: Inventory model for deteriorating items with stock-dependent demand under and partial backlogging and variable selling price. International. J. Sci. Res. 4, 375–379 (2015)
Mandal, M., Maiti, M.: Inventory of damagable items with variable replenishment rate, stock-dependent demand and some units in hand. Appl. Math. Modelling. 23, 799–807 (1999)
Tayal, S., Singh, S.R., Sharma, R., Chauhan, A.: Two echelon supply chain model for deteriorating items with effective investment in preservation technology. Int. J. Oper. Res. 6, 78–99 (2014)
Chung, K.J.: An algorithm for an inventory model with inventory-level-dependent demand rate. Comput. Oper. Res. 30, 1311–1317 (2003)
Tayal, S., Singh, S.R., Sharma, R.: An inventory model for deteriorating items with seasonal products and an option of an alternative market. Uncertain Supply Chain Manage. 3, 69–86 (2014)
Teng, J.T., Chang, C.T.: Economic production quantity models for deteriorating items with price- and stock-dependent demand. Comput. Oper. Res. 32, 297–308 (2005)
Singh, S.R., Singh, N.: A production inventory model with variable demand rate for deteriorating items under permissible delay in payments. Int. Trans. Math. Sci. Comput. 2, 73–82 (2009)
Singh, S.R., Rastogi, M.: Integrated inventory model with Amelioration and Deterioration under shortages and inflation. Int. J. Trends Comput. Sci. 2, 831–858 (2013)
Tayal, S., Singh, S.R., Chauhan, A., Sharma, R.: A deteriorating production inventory problem with space restriction. J. Inf. Optim. Sci. 35(3), 203–229 (2014)
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)
Chang, H.J., Dye, C.Y.: An EOQ model for deteriorating items with time varying demand and partial backlogging. J. Oper. Res. Soc. 50, 1176–1182 (1999)
Singh, S.R., Saxena, N.: An optimal returned policy for a reverse logistics inventory model with backorders. Advances in Decision Sciences. Article ID 386598, p. 21 (2012)
Kumar, S., Rajput, U.S.: A Partially Backlogging Inventory Model for Deteriorating Items with Ramp Type Demand Rate. Am. J. Oper. Res. 5, 39–46 (2015). doi:10.5923/j.ajor.20150502.03
Tayal, S., Singh, S.R., Sharma, R.: A multi item inventory model for deteriorating items with expiration date and allowable shortages. Indian J. Sci. Technol. 7(4), 463–471 (2014)
Singh, S.R., Singh, T.J.: Perishable inventory model with quadratic demand, partial backlogging and permissible delay in payments. Int. Rev. Pure Appl. Math. 1, 53–66 (2008)
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Singh, S.R., Mohit Rastogi, Shilpy Tayal (2016). An Inventory Model for Deteriorating Items Having Seasonal and Stock-Dependent Demand with Allowable Shortages. In: Pant, M., Deep, K., Bansal, J., Nagar, A., Das, K. (eds) Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 437. Springer, Singapore. https://doi.org/10.1007/978-981-10-0451-3_46
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DOI: https://doi.org/10.1007/978-981-10-0451-3_46
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