An EOQ model with delay in payments and time varying deterioration rate

Mathematical and Computer Modelling

Volumn 55, Issue 3-4, 2012, Pages 367-377

  Sarkar, Biswajit ^a  

^a VIDYASAGAR UNIVERSITY   (India)

Author keywords

Delay in payments; Inventory; Time varying demand; Time varying deterioration

Indexed keywords

CREDIT PERIOD; DELAY IN PAYMENT; DISCOUNT RATES; ECONOMIC ORDER QUANTITY; EOQ MODELS; FINITE REPLENISHMENT RATE; GRAPHICAL ILLUSTRATIONS; INVENTORY; NUMERICAL EXAMPLE; PROFIT FUNCTION; PURCHASING COSTS; TIME VARYING; TIME VARYING DEMAND; TIME-DEPENDENT;

DETERIORATION; ECONOMIC ANALYSIS; PROFITABILITY; TIME VARYING SYSTEMS;

SALES;

EID: 84855186691     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2011.08.009     Document Type: Article

References (43)

1. Ghare P.M., Schrader G.F. A model for exponentially decaying inventory. J. Ind. Eng. 1963, 14:238-243.
2. Covert R.P., Philip G.C. An EOQ model for items with Weibull distribution deterioration. AIIE Trans. 1973, 5:323-326.
3. Dave U., Patel L.K. (T, Si) policy inventory model for deteriorating items with time proportional demand. J. Oper. Res. Soc. 1981, 32:137-142.
4. Sachan R.S. On (T, Si) policy inventory model for deteriorating items with time proportional demand. J. Oper. Res. Soc. 1984, 35:1013-1019.
5. Goyal S.K. Economic ordering policy for deteriorating items over an infinite time horizon. European J. Oper. Res. 1987, 28:298-301.
6. Datta T.K., Pal A.K. Order level inventory system with power demand pattern for items with variable rate of deterioration. Indian J. Pure Appl. Math. 1988, 19:1043-1053.
7. Goswami A., Chaudhuri K.S. An EOQ model for deteriorating items with shortages and a linear trend in demand. J. Oper. Res. Soc. 1991, 42:1105-1110.
8. Raafat F. Survey of literature on continuously deteriorating inventory model. J. Oper. Res. Soc. 1991, 42:27-37.
9. Hariga M. Optimal EOQ models for deteriorating items with time-varying demand. J. Oper. Res. Soc. 1996, 47:1228-1246.
10. Chang H.J., Dye C.Y. An EOQ model for deteriorating items with time varying demand and partial backlogging. J. Oper. Res. Soc. 1999, 50:1176-1182.
11. Goyal S.K., Giri B.C. Recent trends in modeling of deteriorating inventory. European J. Oper. Res. 2001, 134:1-16.
12. Skouri K., Papachristos S. Four inventory models for deteriorating items with time varying demand and partial backlogging: a cost comparison. Optimal Control Appl. Methods 2003, 24:315-330.
13. Skouri K., Konstantaras I., Papachristos S., Ganas I. Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate. European J. Oper. Res. 2009, 192:79-92.
14. Sana S.S. Optimal selling price and lotsize with time varying deterioration and partial backlogging. Appl. Math. Comput. 2010, 217:185-194.
15. Harris F.W. How many parts to make at once. Factory Mag. Manage. 1913, 135-136. and 152.
16. Silver E.A., Meal H.C. A simple modification of the EOQ for the case of varying demand rate. Prod. Inventory Manage. 1969, 10:52-65.
17. Donaldson W.A. Inventory replenishment policy for a linear trend in demand: an analytical solution. Oper. Res. Quart. 1977, 28:663-670.
18. Goyal S.K. On improving replenishment policies for linear trend in demand. Eng. Costs Prod. Econ. 1986, 10:73-76.
19. Goyal S.K., Kusy M., Soni R. A note on economic order intervals for an item with linear trend demand. Eng. Costs Prod. Econ. 1986, 10:253-255.
20. Hariga M. Optimal EOQ models for deteriorating items with time-varying demand. J. Oper. Res. Soc. 1996, 47:1228-1246.
21. Sana S., Chaudhuri K.S. A deterministic EOQ model with delays in payments and price-discount offers. European J. Oper. Res. 2008, 184:509-533.
22. Khanra S., Chaudhuri K.S. A note on an order-level inventory model for a deteriorating item with time dependent quadratic demand. Comput. Oper. Res. 2003, 30:1901-1916.
23. Goyal S.K. Economic order quantity under conditions of permissible delay in payments. J. Oper. Res. Soc. 1985, 36:35-38.
24. Abad P.L. Determining optimal selling price and lot size when suppliers offers all unit quantity discounts. Decis. Sci. 1988, 19:622-634.
25. Chu P., Chung K.J., Lan S.P. Economic order quantity of deteriorating items under permissible delay in payments. Comput. Oper. Res. 1998, 25:817-824.
26. Chen M.S., Chuang C.C. An analysis of light buyer's economic order model under trade credit. Asia-Pac. J. Oper. Res. 1999, 16:23-34.
27. Jamal A.M.M., Sarker B.R., Wang S. Optimal payment time for a retailer under permitted delay of payments by the wholesaler. Int. J. Prod. Econ. 2000, 66:59-66.
28. Teng J.T. On the economic order quantity under conditions of permissible delay in payments. J. Oper. Res. Soc. 2002, 53:915-918.
29. Huang Y.-F. Optimal retailer's ordering policies in the EOQ model under trade credit financing. J. Oper. Res. Soc. 2003, 54:1011-1015.
30. Arcelus F.J., Shah N.H., Srinivasan G. Retailer's pricing, credit and inventory policies for deteriorating items in response to temporary price/credit incentives. Int. J. Prod. Econ. 2003, 81-82:153-162.
31. Ouyang L.-Y., Chang C.-T., Teng J.-T. An EOQ model for deteriorating items under trade credits. J. Oper. Res. Soc. 2005, 56:719-726.
32. Jabar M.Y., Osman I.H. Coordinating a two-level supply chain with delay in payments and profit sharing. Comput. Ind. Eng. 2006, 50:385-400.
33. Teng J.-T., Goyal S.K. Optimal ordering policies for a retailer in a supply chain with up-stream and down-stream trade credits. J. Oper. Res. Soc. 2007, 58:1252-1255.
34. Chen L.-H., Kang F.-S. Integrated vendor-buyer cooperative inventory models with variant permissible delay in payments. European J. Oper. Res. 2007, 183:658-673.
35. Huang Y.-F. Optimal retailer's replenishment decisions in the EPQ model under two levels of trade credit policy. European J. Oper. Res. 2007, 176:1577-1591.
36. Dye C.-Y., Hsieh T.-P., Ouyang L.-Y. Determining optimal selling price and lot size with a varying rate of deterioration and exponential partial backlogging. European J. Oper. Res. 2007, 181:668-678.
37. Cárdenas-Barrón L.E. Optimal ordering policies in response to a discount offer: corrections. Int. J. Prod. Econ. 2009, 122:783-789.
38. Cárdenas-Barrón L.E. Optimal ordering policies in response to a discount offer: extensions. Int. J. Prod. Econ. 2009, 122:774-782.
39. Sarker B.R., Al Kindi M. Optimal ordering policies in response to a discount offer. Int. J. Prod. Econ. 2006, 100:195-211.
40. Sarkar B., Sana S.S., Chaudhuri K.S. A finite replenishment model with increasing demand under inflation. Int. J. Math. Oper. Res. 2010, 2:347-385.
41. Ghosh S.K., Khanra S., Chaudhuri K.S. Optimal price and lot size determination for a perishable product under conditions of finite production, partial backordering and lost sale. Appl. Math. Comput. 2010, 217:6047-6053.
42. Sarkar B., Moon I.K. An EPQ model with inflation in an imperfect production system. Appl. Math. Comput. 2011, 217:6159-6167.
43. Sarkar B., Sana S.S., Chaudhuri K.S. An imperfect production process for time varying demand with inflation and time value of money-an EMQ model. Exp. Syst. Appl. 2011, 38:13543-13548.