An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand

Economic Modelling

Volumn 30, Issue 1, 2013, Pages 924-932

  Sarkar, Biswajit ^a   Sarkar, Sumon ^a  

^a VIDYASAGAR UNIVERSITY   (India)

Author keywords

Inventory; Partial backlogging; Stock dependent demand; Time varying deterioration

Indexed keywords

EID: 84870887052     PISSN: 02649993     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.econmod.2012.09.049     Document Type: Article

References (52)

1. Abad P.L. Optimal pricing and lot sizing under conditions of perishability and partial backordering. Management Science 1996, 42:1093-1104.
2. Alfares H.K. Inventory model with stock-level dependent demand rate and variable holding cost. International Journal of Production Economics 2007, 108:259-265.
3. Cárdenas-Barrón L.E. The economic production quantity (EPQ) with shortage derived algebraically. International Journal of Production Economics 2001, 70:289-292.
4. Cárdenas-Barrón L.E. On optimal manufacturing batch size with rework process at single-stage production system. Computers and Industrial Engineering 2007, 53(1):196-198.
5. Cárdenas-Barrón L.E. Optimal manufacturing batch size with rework in a single-stage production system-a simple derivation. Computers and Industrial Engineering 2008, 55(4):758-765.
6. Cárdenas-Barrón L.E. Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Computers and Industrial Engineering 2009, 57:1105-1113.
7. Cárdenas-Barrón L.E. Optimal order size to take advantage of a one-time discount offer with allowed backorders. Applied Mathematical Modelling 2010, 34:1642-1652.
8. Cárdenas-Barrón L.E. The derivation of EOQ/EPQ inventory models with two backorders costs using analytic geometry and algebra. Applied Mathematical Modelling 2011, 35:2394-2407.
9. Cárdenas-Barrón L.E. A complement to "a comprehensive note on: an economic order quantity with imperfect quality and quantity discounts". Applied Mathematical Modelling 2012, 36(12):6338-6340.
10. Chang H.J., Dye C.Y. An EOQ model for deteriorating items with time varying demand and partial backlogging. Journal of the Operational Research Society 1999, 50:1176-1182.
11. Chung C.-J., Wee H.M. Scheduling and replenishment plan for an integrated deteriorating inventory model with stock-dependent selling rate. International Journal of Advanced Management Technology 2007, 35:665-679.
12. Covert R.P., Philip G.C. An EOQ model for items with Weibull distribution deterioration. AIIE Transactions 1973, 5:323-326.
13. Dave U., Patel L.K. (T, Si) policy inventory model for deteriorating items with time proportional demand. Journal of Operation Research Society 1981, 32:137-142.
14. Dye C.Y., Ouyang L.Y. An EOQ model for perishable items under stock-dependent selling rate and time-dependent partial backlogging. European Journal of Operational Research 2005, 163:776-783.
15. Ghare P.M., Schrader G.F. An inventory model for exponentially deteriorating items. Journal of Industrial Engineering 1963, 14:238-243.
16. Giri B.C., Jalan A.K., Chaudhuri K.S. Economic order quantity model with Weibull deterioration distribution, shortage and ramp-type demand. International Journal of Systems Science 2003, 34:237-243.
17. Goyal S.K., Chang C.-T. Optimal ordering and transfer policy for an inventory with stock dependent demand. European Journal of Operational Research 2009, 196:177-185.
18. Hariga M. Optimal EOQ models for deteriorating items with time-varying demand. The Journal of the Operational Research Society 1996, 47:1228-1246.
19. Liao H.C., Tsai C.H., Su C.T. An inventory model with deteriorating items under inflation when a delay in payment is permissible. International Journal of Production Economics 2000, 63:207-214.
20. Loa S.T., Wee H.M., Huang W.C. An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation. International Journal of Production Economics 2007, 106:248-260.
21. Manna S.K., Chaudhuri K.S. An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages. European Journal of Operation Research 2006, 171:557-566.
22. Moon I., Giri B.C., Ko B. Economic order quantity models for ameliorating/deteriorating items under inflation and time discounting. European Journal of Operation Research 2005, 162:773-785.
23. Padmanabhan G., Vrat P. EOQ models for perishable items under stock dependent selling rate. European Journal of Operational Research 1995, 86:281-292.
24. Roy M.D., Sana S.S., Chaudhuri K.S. A stochastic EPLS model with random price sensitive demand. International Journal of Management Science and Engineering Management 2010, 5(6):465-472.
25. Roy M.D., Sana S.S., Chaudhuri K.S. An economic order quantity model of imperfect quality items with partial backlogging. International Journal of Systems Science 2011, 42:1409-1419.
26. Roy M.D., Sana S.S., Chaudhuri K.S. An EOQ model for imperfect quality products with partial backlogging-a comparative study. International Journal of Services and Operations Management 2011, 9(1):83-110.
27. Roy M.D., Sana S.S., Chaudhuri K.S. An optimal shipment strategy for imperfect items in stock-out situation. Mathematical and Computer Modelling 2011, 54:2528-2543.
28. Sachan R.S. On (T, Si) policy inventory model for deteriorating items with time proportional demand. The Journal of the Operational Research Society 1984, 35:1013-1019.
29. Sana S.S. Demand influenced by enterprises' initiatives-a multi-item EOQ model of deteriorating and ameliorating items. Mathematical and Computer Modelling 2010, 52(1-2):284-302.
30. Sana S.S. Optimal selling price and lotsize with time varying deterioration and partial backlogging. Applied Mathematics and Computation 2010, 217:185-194.
31. 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 2011, 218:3277-3288.
32. Sana S.S. An EOQ model of homogeneous products while demand is salesmen's initiatives and stock sensitive. Computers and Mathematics with Applications 2011, 62:577-587.
33. Sana S.S. The stochastic EOQ model with random sales price. Applied Mathematics and Computation 2011, 218:239-248.
34. Sana S.S. The EOQ model-a dynamical system. Applied Mathematics and Computation 2012, 218:8736-8749.
35. Sana, S.S., 2012b. Price sensitive demand with random sales price-a newsboy problem. International Journal of Systems Science.
36. Sana, S.S., 2012c. An EOQ model for perishable item with stock-dependent demand and price discount rate. American Journal of Mathematical and Management Sciences.
37. Sana S.S., Chaudhuri K.S. A deterministic EOQ model with delays in payments and price discount offers. European Journal of Operational Research 2008, 184:509-533.
38. Sarkar B. An EOQ model with delay in payments and time varying deterioration rate. Mathematical and Computer Modelling 2012, 55:367-377.
39. Sarkar B. A production-inventory model with probabilistic deterioration in two-echelon supply chain management. Applied Mathematical Modelling 2012, Article in press, http://dx.doi.org/10.1016/j.apm.2012.07.026.
40. Sarkar B. An EOQ model with delay in payments and stock dependent demand in the presence of imperfect production. Applied Mathematics and Computation 2012, 218:8295-8308.
41. Sarkar B., Sana S.S., Chaudhuri K.S. Optimal reliability, production lot size and safety stock in an imperfect production system. International Journal of Mathematics in Operational Research 2010, 2:467-490.
42. Sarkar B., Sana S.S., Chaudhuri K.S. A stock-dependent inventory model in an imperfect production process. International Journal of Procurement Management 2010, 3(4):361-378.
43. Sarkar B., Saren S., Wee H.M. An inventory model with variable demand, component cost and selling price for deteriorating items. Economic Modelling 2013, 30:306-310.
44. Sett B.K., Sarkar B., Goswami A. A two-warehouse inventory model with increasing demand and time varying deterioration. Scientia Iranica, Transaction E: Industrial Engineering 2012, Article in press, http://dx.doi.org/10.1016/j.scient.2012.10.040.
45. Skouri K., Konstantaras I., Papachristos S., Ganas I. Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate. European Journal of Operational Research 2009, 192:79-92.
46. Wee H.M. A deterministic lot-size inventory model for deteriorating items with shortages and a declining market. Computers and Operations Research 1995, 22:345-356.
47. Wee H.M., Law S.P. Economic production lot size for deteriorating items taking account of the time-value of money. Computers and Operations Research 1999, 26:545-558.
48. Wee H.M., Wang W.T. A supplement to the EPQ with partial backordering and phase-dependent backordering rate. Omega 2012, 40:264-266.
49. Widyadana G.A., Wee H.M. Optimal deteriorating items production inventory models with random machine breakdown and stochastic repair time. Applied Mathematical Modelling 2011, 35:3495-3508.
50. Widyadana G.A., Cárdenas-Barrón L.E., Wee H.M. Economic order quantity model for deteriorating items with planned backorder level. Mathematical and Computer Modelling 2011, 54:1569-1575.
51. 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. International Journal of Production Economics 2006, 101:369-384.
52. Yang P.C., Wee H.M., Chung S.L., Ho P.C. Sequential and global optimization for a closed-loop deteriorating inventory supply chain. Mathematical and Computer Modelling 2010, 52:161-176.