Ordering and transfer policy and variable deterioration for a warehouse model

This paper represents an inventory model for ordering and transferring policy with random, deterioration and several demand patterns. The number of transfers per order from warehouse to display area and optimal order quantity are determined in this model. The random deterioration makes a realistic scenario when the retailer has several products. The model uses dierent demand pattern to check the optimum prot for different situation. The main purpose of this model is to maximize average prot per unit time for retailer. The retailer receives products from supplier and store in a warehouse. These items are transferred through multi-delivery policy with equal lot-size. There are four lemmas to establish the global maximum solution analytically. Some numerical examples and graphical representations are given to illustrate the model.

Keywords:

Inventory, probabilistic deterioration variable demand, ordering policies,

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Harris, F.W. Operations and Cost, Factory Management Series. A. W. Shaw Co.(1915).
Hsu, C.I. and Li, H.C. Optimal delivery service strategy for internet shopping with time dependent consumer demand, Transportation Research Part E: Logistics and Transportation Review 42,473-497,2006.
Dye, C.Y. Chang, H.J. and Teng, J.T. A deteriorating inventory model with time-varying demand and shortage-dependent partial backlogging, European Journal of Operational Re- search 172,417-429,2006.
Khanra, S. Ghosh, S.K. and Chaudhuri, K.S. An EOQ model for a deteriorating item with time dependent quadratic demand under permissible delay in payment, Applied Mathematics and Computation 218,1-9,2011.
Sarkar, B. Sana, S.S. and Chaudhuri, K.S. An Economic production quantity model with stochastic demand in an imperfect production system, International Journal of Services and Operations Management 9,259-283,2011a.
Sarkar, B. and Moon, I.K. An EPQ model with inflation in an imperfect production system, Applied Mathematics and Computation 217,6159-6167,2011.
Sarkar, B. Sana, S.S. and Chaudhuri, K.S. An imperfect production process for time varying demand with ination and time value of money - an EMQ model, Expert Systems with Applications 38,13543-13548,2011b.
Wee, H.M. and Law, S.T. Replenishment and pricing policy for deteriorating items tak- ing into account the time-value of money, International Journal of Production Economics 71,213-220,2001.
Chu, P. and Chen, P.S. A note on inventory replenishment policies for deteriorating items in an exponentially declining market, Computers and Operations Research 29,1827-1842,2002.
Khanra, S. and Chaudhuri, K.S. A note on an order-level inventory model for a deteriorating item with time dependent quadratic demand, Computers and Operations Research 30,1901- 1916,2003.
Chern, M.S. Yang, H.L. Teng, J.T. and Papachristos, S. Partial backlogging inventory lot- size models for deteriorating items with uctuating demand under ination, European Jour- nal of Operational Research 191,127-141,2008.
Sett, B.K. Sarkar, B. and Goswami, A. A two-warehouse inventory model with increasing demand and time varying deterioration, Scientia Iranica 19,1969-1977,2012.
Sarkar, T. Ghosh, S.K. and Chaudhuri, K.S. An optimal inventory replenishment policy for a deteriorating item with time-quadratic demand and time-dependent partial backlogging with shortages in all cycles, Applied Mathematics and Computation 218,9147-9155,2012.
Sarkar, B. An EOQ model with delay-in-payments and time-varying deterioration rate, Mathematical and Computer Modelling 55,367-377,2012b.
Sarkar, B. and Sarkar, S. Variable deterioration and demand-an inventory model, Economic Modelling 31,548-556,2013a.
Sarkar, B. and Sarkar, S. An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand, Economic Modelling 30,924-932,2013b.
Sarkar, B. A production-inventory model with probabilistic deterioration in two-echelon sup- ply chain management, Applied Mathematical Modelling 37,3138-3151,2013.
Sarkar, M. and Sarkar, B. An economic manufacturing quantity model with probabilistic deterioration in a production system, Economic Modelling 31,245-252,2013c.
Sarkar, B. Saren, S. andWee, H.M. An EOQ model with time dependent demand, component cost and product selling price for deteriorating items, Economic Modelling 30,306-310,2013.
Sarkar, B. Saren, S. and Cardenas-Barron, L.E. An inventory model with trade-credit policy and variable deterioration for fixed lifetime products, Annals of Operations Research 229,677-702,2015.
Wee, H.M. A replenishment policy for items with a price dependent demand and a varying rate of deterioration, Production Planning and Control 8,494-499,1997.
Datta, D.K. and Paul, K. An inventory system with stock-dependent, price-sensitive demand rate, Production Planning and Control 12,13-20,2001.
Goyal, S.K, and Chang, C.T. Optimal ordering and transfer policy for an inventory with stock dependent demand, European Journal of Operational Research 196,177-185,2009.
Sarkar, B. Sana, S.S. and Chaudhuri, K.S. A finite replenishment model with increasing demand under inflation, International Journal of Mathematics in Operational Research 2,347-385,2010a.
Sarkar, B. Sana, S.S. and Chaudhuri, K.S. A stock-dependent inventory model in an imperfect production process, International Journal of Procurement Management 3,361-378,2010b.
Sana, S.S. An EOQ model for salesmen's initiatives, stock and price sensitive demand of similar products - A dynamical system, Applied Mathematics and Computation 218,3277- 3288,2011.
Sarkar, B. An inventory model with reliability in an imperfect production process, Applied Mathematics and Computation 218,4881-4891,2012c.
Sarkar, B. An EOQ model with delay in payments and stock dependent demand in the presence of imperfect production, Applied Mathematics and Computation 218,8295-8308,2012a.

Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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