Full Paper View Go Back

Inventory Optimization with Stock-Level Dependent Demand, Shortages and Variable Holding Cost

Sandeep Kumar1

Section:Review Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.425-429, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.425429


Online published on Aug 31, 2018


Copyright © Sandeep Kumar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: Sandeep Kumar, “Inventory Optimization with Stock-Level Dependent Demand, Shortages and Variable Holding Cost,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.425-429, 2018.

MLA Style Citation: Sandeep Kumar "Inventory Optimization with Stock-Level Dependent Demand, Shortages and Variable Holding Cost." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 425-429.

APA Style Citation: Sandeep Kumar, (2018). Inventory Optimization with Stock-Level Dependent Demand, Shortages and Variable Holding Cost. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 425-429.

BibTex Style Citation:
@article{Kumar_2018,
author = {Sandeep Kumar},
title = {Inventory Optimization with Stock-Level Dependent Demand, Shortages and Variable Holding Cost},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {425-429},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=810},
doi = {https://doi.org/10.26438/ijcse/v5i4.425429}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.425429}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=810
TI - Inventory Optimization with Stock-Level Dependent Demand, Shortages and Variable Holding Cost
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Sandeep Kumar
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 425-429
IS - 4
VL - 5
SN - 2347-2693
ER -

523 Views    222 Downloads    194 Downloads
  
  

Abstract :
In the present study the optimal order quantity and the time of optimal cycle of an inventory model are determined .Here the rate of demand depends on the stock. The holding cost per unit of the item per unit time is taken to be linear function of the quantity in storage. Here, it also considered that the shortages in stock are allowed. In traditional inventory models, the rate of demand and holding cost are considered to be constant. There are so many inventory models, where the holding cost was taken to be constant for the whole inventory cycle without shortages. But here the holding cost is considered as a variable which is an increasing step function of the time due to storage. This study provides the basis for further extensions like the incorporation of deteriorating items, shortage cost and stochastic lead time in order to develop more complex and realistic inventory models.

Key-Words / Index Term :
Inventory, Demand, Stock, Costs, Storage.

References :
1. Wilson RH (1934) a scientific routine for stock control. Harv Bus Rev 13:116-128
2. Whitin TM (1957) The theory of inventory management. Princeton: Princeton University Press.
3. Ghare PM, Schrader GF (1963) A model for an exponentially decaying inventory. Journal of Industrial and Engineering Chemistry 14:238-243.
4. G. Zoutendijk, Nonlinear Programming: A Numerical Survey, SIAM J. Control. 4 (1966) 194-210.
5. Baker, R.C., Urban, T.L., 1988a. A deterministic inventory system with an inventory level dependent rate. Journal of the Operation Research Society 39 (9), 823-831.
6. Baker, R.C., Urban, T.L., 1988b. Single-period inventory dependent demand models. Omega-The International Journal of Management Science 16 (6), 605-607.
7. B. N. Mondal and S. Phaujder, An inventory model for deteriorating items and stock-dependent demand rate, Opl. Res. Soc. 40 (1989) 483-488.209
8. Datta, T.K and Pal A.K. (1990). “ A note on an inventory model with inventory-level dependent demand rate”, Journal of the Operational Research Society, 41 (10), 971-975.
9. T. K. Datta and A. K. Pal, A note on an inventory model with inventory level-dependent demand rate, Opl.Res. Soc. 41 (1990) 971-975.
10.T. L. Urban, An inventory model with an inventory-level-dependent demand rate and relaxed terminal condition, Opl. Res. Soc. 43 (1992) 721-724
11.M. Goh, EOQ models with general demand and holding cost functions,Euro. J. Oper. Res.73 (1994) 50-54.
12. B. C. Giri, S. Pal, A. Goswami and K. S. Chaudhuri, An inventory model for deteriorating items with stock-dependent demand rate, Euro.J.Oper. Res.95 (1995) 604-610.
13. Wee HM (1995) a deterministic lot-size inventory model for deteriorating items with shortages and a declining market. Computers &Operations Research - Journal 22:345-356 Publisher Full Text
14. Urban, T.L., 1995. Inventory models with the demand rate dependent on stock and shortage levels. International Journal of Production Economics 40 (1), 2-28.
15. Ray, J., Chaudhuri, K.S., 1997. An EOQ model with stock dependent demand, shortage, inflation and time discounting. International Journal of Production Economics 53 (2), 171-180
16. J. Roy and K. S. Chaudhuri, An EOQ model with stock-dependent demand, shortages, inflation and time discounting, Int. J. Prod. Eco. 53 (1997) 171-180.
17. J. Roy, A. Goswami and K. S. Chaudhuri, on an inventory model with two levels of storage and stock-dependent demand rate, Int. J.Systems. Sci.29 (1998) 249-254.
18. Chang HJ, Dye CY (1999) An EOQ model for deteriorating items with time varying demand and partial backlogging Journal of the Operational Research Society 50:1176-1182
19. Hwang, H., Hahn, K.H., 2000. An optimal procurement policy for items with an inventory level dependent demand rate and fixed life time. European Journal of Operation
20. Goyal SK, Giri BC (2001) recent trends in modelling of deteriorating inventory. European Journal of Operational Research 134:1-16Publisher Full Text International Journal of Production Economics 113:852-861 Publisher Full Text
21. Ouyang W, Cheng X (2005) an inventory model for deteriorating items with exponential declining demand and partial backlogging.Yugoslav journal of operations research 15(2):277-288Publisher Full Text
22. Alamri AA, Balkhi ZT (2007).Tithe effects of learning and forgetting on the optimal production lot size for deteriorating items with time varying demand and deterioration rates. International Journal of Production Economics 107:125-138 Publisher Full Text
23. Dye CY, Ouyang LY, and Hsieh TP (2007) Deterministic inventory model for deteriorating items with capacity constraint and time proportional Backlogging rate. . European Journal of Operational Research178 (3):789-807 Publisher Full Text
24. Alfares, H. K., 2007. Inventory model with stock-level dependent demand rate and variable holding cost.Int. J. Production Economics 108 (2007) 259-265
25. Liao JJ (2008) An EOQ model with non instantaneous receipt and exponential deteriorating item under two-level trade credit.and time-varying demand, Quality and Quantity, 38, 457-473.
26. Mishra VK, Singh LS (2011) Inventory model for ramp type demand, time dependent deteriorating items with salvage value and shortages. International Journal of Applied Mathematics and Statistics 23(D11):84-91
27. Mishra et al. (2013) An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging. Journal of Industrial Engineering International 2013, 9:4
28. Inventory Model for Deteriorating Items with Fixed Life under Quadratic Demand and Nonlinear Holding Cost. International Journal of Engineering and Innovative Technology (IJEIT) Volume 3, Issue 12, June 2014

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation