An EPQ model of ramp type demand with Weibull deterioration under inflation and finite horizon in crisp and fuzzy environment

International Journal of Production Economics

Volumn 156, Issue , 2014, Pages 159-166

  Pal, Shilpi ^a   Mahapatra, G S ^b   Samanta, G P ^a  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

^b NATIONAL INSTITUTE OF TECHNOLOGY PUDUCHERRY   (India)

Author keywords

Deterioration; Finite time horizon; Fuzzy set; Inflation; Inventory; Ramp type demand

Indexed keywords

FUZZY SETS;

DETERIORATING ITEMS; DETERIORATION RATES; ECONOMIC PRODUCTION MODEL; FINITE TIME HORIZON; INFLATION; INVENTORY; RAMP-TYPE DEMAND; REPLENISHMENT CYCLE;

DETERIORATION;

EID: 84905964522     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2014.05.007     Document Type: Article

References (52)

1. B. Atamer, I.S. Bakal, and P. Bayindir Optimal pricing and production decisions in utilizing reusable containers Int. J. Prod. Econ. 143 2 2013 222 232
2. Z.T. Balki, and L. Benkherouf On an inventory model for deteriorating items with stock dependent and time varying demand rates Comput. Oper. Res. 31 2 2004 223 240
3. Berrotoni, J.N.; 1962. Practical application of Weibull distribution. In: ASQC Technical Conference Transactions, pp. 303-323.
4. J.A. Buzacott Economic order quantity with inflation Oper. Res. (Q.) 26 3 1975 553 558
5. C.T. Chang, S.K. Goyal, and J.T. Teng On 'An EOQ model for perishable items under stock dependent selling rate and time dependent partial backlogging' by Dye and Ouyang Eur. J. Oper. Res. 174 2 2006 923 929
6. C.J. Chung, and H.M. Wee Scheduling and replenishment plan for an integrated deteriorating inventory model with stock dependent selling rate Int. J. Adv. Manag. Technol. 35 7-8 2007 665 679
7. C.J. Chung, and H.M. Wee Short life-cycle deteriorating product remanufacturing in a green supply chain inventory control system Int. J. Prod. Econ. 129 1 2011 195 203
8. K.J. Chung, P. Chu, and S.P. Lan A note on EOQ models for deteriorating items under stock dependent selling rate Eur. J. Oper. Res. 124 3 2000 550 559
9. R.P. Covert, and G.C. Philip An EOQ model for items with Weibull distribution deterioration AIIE Trans. 5 4 1973 323 326
10. D. Das, M.B. Kar, A. Roy, and S. Kar Two-warehouse production model for deteriorating inventory items with stock-dependent demand under inflation over a random planning horizon Cent. Eur. J. Oper. Res. 20 2 2012 251 280
11. S.K. De, P.K. Kundu, and A. Goswami An economic production quantity inventory model involving fuzzy demand rate and fuzzy deterioration rate J. Appl. Math. Comput. 12 1 2003 251 260
12. S.K. De, and A. Goswami An EOQ model with fuzzy inflation rate and fuzzy deterioration rate when a delay in payment is permissible Int. J. Syst. Sci. 37 2006 323 335
13. P.S. Deng, R.H.J. Lin, and P. Chu A note on the inventory models for deteriorating items with ramp type demand rate Eur. J. Oper. Res. 178 1 2007 112 120
14. S.K. Goyal Economic ordering policy for deteriorating items over an infinite time horizon Eur. J. Oper. Res. 28 3 1987 298 301
15. S.K. Goyal, and C.T. Chang Optimal ordering and transfer policy for an inventory with stock dependent demand Eur. J. Oper. Res. 196 1 2009 177 185
16. S.K. Goyal, and B.C. Giri Recent trends in modeling of deteriorating inventory Eur. J. Oper. Res. 134 1 2001 1 16
17. A. Guria, B. Das, S. Mondal, and M. Maiti Inventory policy for an item with inflation induced purchasing price, selling price and demand with immediate part payment Appl. Math. Modell. 37 1-2 2013 240 257
18. F.W. Harris How many part to make at once Fact. Mag. Manag. 10 2 1913 135 136 & 152
19. Hsieh, C.H.; Chen, S.H.; 1999. Similarity of generalized fuzzy numbers with graded mean integration representation. In: Proceedings of the 8th International Fuzzy Systems Association World Congress, vol. 2, pp. 551-555.
20. Y. Hui-Ling Two-warehouse partial backlogging inventory models with three-parameter Weibull distribution deterioration under inflation Int. J. Prod. Econ. 138 1 2012 107 116
21. J.T. Hsu, and L.F. Hsu An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns Int. J. Prod. Econ. 143 1 2013 162 170
22. F. Jolai, R. Tavakkoli-Moghaddam, M. Rabbani, and M.R. Sadoughian An economic production lot size model with deteriorating items, stock-dependent demand, inflation, and partial backlogging Appl. Math. Comput. 181 1 2006 380 389
23. H.C. Liao, C.H. Tsai, and C.T. Su An inventory model with deteriorating items under inflation when delay in payment is permissible Int. J. Prod. Econ. 63 2 2000 207 214
24. Y. Lin, and C. Lin Purchasing model for deteriorating items with time-varying demand under inflation and time discounting Int. J. Adv. Manuf. Technol. 27 7-8 2006 816 823
25. G.S. Mahapatra, T.K. Mandal, and G.P. Samanta A production inventory model with fuzzy coefficients using parametric geometric programming approach Int. J. Mach. Learn. Cybern. 2 2 2011 99 105
26. G.S. Mahapatra, T.K. Mandal, and G.P. Samanta An EPQ model with imprecise space constraint based on intuitionistic fuzzy optimization technique J. Multiple-Valued Logic Soft Comput. 19 5-6 2012 409 423
27. G.S. Mahapatra, T.K. Mandal, and G.P. Samanta EPQ model with fuzzy coefficient of objective and constraint via parametric geometric programming Int. J. Oper. Res. 17 4 2013 436 448
28. G.S. Mahapatra, and T.R. Roy Fuzzy multi-objective mathematical programming on reliability optimization model Appl. Math. Comput. 174 1 2006 643 659
29. B. Mandal, and A.K. Pal Order level inventory system with ramp type demand rate for deteriorating items J. Interdiscip. Math. 1 1 1998 49 66
30. B. Mandal An EOQ inventory model for Weibull distributed deteriorating items under ramp type demand and shortages OPSEARCH 47 2 2010 158 165
31. R.B. Misra Optimum production lot-size model for a system with deteriorating inventory Int. J. Prod. Res. 13 5 1975 495 505
32. G.C. Philip A generalized EOQ model for items with Weibull distribution deterioration AIIE Trans. 6 2 1974 159 162
33. T. Roy, and K.S. Chaudhuri An EPLS model for a variable production rate with stock-price sensitive demand and deterioration Yugosl. J. Oper. Res. 22 1 2012 19 30
34. T. Roy, and K.S. Chaudhuri A finite time horizon EOQ model with ramp type demand under inflation and time-discounting Int. J. Oper. Res. 11 1 2011 100 118
35. S.S. Sana, and K.S. Chaudhuri A deterministic EOQ model with delay in payments and price-discount offers Eur. J. Oper. Res. 184 2 2008 509 533
36. B. Sarkar, S.S. Sana, and K. Chaudhuri An imperfect production process for time varying demand with inflation and time value of money - an EMQ model Expert Syst. Appl. 38 11 2011 13543 13548
37. Y. Shah An order level lot size inventory model for deteriorating items AIIE Trans. 9 1 1977 190 197
38. E.A. Silver, and H.C. Meal A simple modification of the EOQ for the case of a varying demand rate Prod. Inventory Manag. 10 4 1969 52 65
39. K. Skouri, I. Konstantaras, S. Papachristos, and J.T. Teng Supply chain models for deteriorating products with ramp type demand rate under permissible delay in payment Expert Syst. Appl. 38 12 2011 14861 14869
40. K. Skouri, I. Konstantras, S. Papachristos, and I. Ganas Inventory models with ramp type demand rate, partial backlogging and Weibull distribution Eur. J. Oper. Res. 192 1 2009 79 92
41. K. Skouri, I. Konstantaras, S.K. Manna, and K.S. Chaudhuri Inventory models with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages Ann. Oper. Res. 191 1 2011 73 95
42. C.T. Tung A note on the inventory models with ramp type demand of negative exponentially distributed changing point J. Ind. Prod. Eng. 30 1 2013 15 19
43. R. Uthayakumar, and K.V. Geetha Replenishment policy for single item inventory model with money inflation OPSEARCH 46 3 2009 345 357
44. R. Uthavakumar, and M. Rameswari Economic order quantity for deteriorating items with time discounting Int. J. Adv. Manuf. Technol. 58 5-8 2012 817 840
45. H.M. Wagner, and T.M. Whitin Dynamic version of economic lot size model Manag. Sci. 5 1 1958 89 96
46. H.M. Wee, and S.T. Law Replenishment and pricing policy for deteriorating items taking into account the time value of money Int. J. Prod. Econ. 71 1-3 2001 213 220
47. G.A. Widyadana, L.E. Cardenas-Barron, and H.M. Wee Economic order quantity model for deteriorating items with planned backorder level Math. Comput. Modell. 54 5-6 2011 1569 1575
48. G.A. Widyadana, and H.M. Wee Optimal deteriorating items production inventory models with random machine breakdown and stochastic repair time Appl. Math. Modell. 35 7 2011 3495 3508
49. K.S. Wu, and L.Y. Ouyang A replenishment policy for deteriorating items with ramp type demand rate Proc. Natl. Sci. Counc. ROC(A) 24 2000 279 286
50. K.S. Wu, L.Y. Ouyang, and C.T. Yang An optimal replenishment policy for non-instantaneous deteriorating items with stock dependent demand and partial backlogging Int. J. Prod. Econ. 101 2 2006 369 384
51. H.L. Yang Two-warehouse partial backlogging inventory models with three parameter Weibull distribution deterioration under inflation Int. J. Prod. Econ. 138 1 2012 107 116
52. H.L. Yang, J.T. Teng, and M.S. Chern An inventory model under inflation for deteriorating items with stock dependent consumption rate and partial backlogging, shortages Int. J. Prod. Econ. 123 1 2010 8 19