Ordering and transfer policy and variable deterioration for a warehouse model
Year 2017,
Volume: 46 Issue: 5, 985 - 1014, 01.10.2017
Biswajit Sarkar
,
Sharmila Saren
Abstract
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.
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Mathematical and Computer Modelling 55,367-377,2012b.
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Modelling 31,548-556,2013a.
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deterioration and stock-dependent demand, Economic Modelling 30,924-932,2013b.
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ply chain management, Applied Mathematical Modelling 37,3138-3151,2013.
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deterioration in a production system, Economic Modelling 31,245-252,2013c.
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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.
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rate of deterioration, Production Planning and Control 8,494-499,1997.
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stock dependent demand, European Journal of Operational Research 196,177-185,2009.
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demand under inflation, International Journal of Mathematics in Operational Research
2,347-385,2010a.
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similar products - A dynamical system, Applied Mathematics and Computation 218,3277-
3288,2011.
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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.
Year 2017,
Volume: 46 Issue: 5, 985 - 1014, 01.10.2017
Biswajit Sarkar
,
Sharmila Saren
References
- 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.