A partial backlogging inventory model for non-instantaneous deteriorating items with stock-dependent consumption rate under inflation
DOI:
https://doi.org/10.2298/YJOR1001035CKeywords:
partial backlogging, non-instantaneous deterioration, stock-dependent demand, inflationAbstract
In this paper, we derive a partial backlogging inventory model for noninstantaneous deteriorating items with stock-dependent demand rate under inflation over a finite planning horizon. We propose a mathematical model and theorem to find minimum total relevant cost and optimal order quantity. Numerical examples are used to illustrate the developed model and the solution process. Finally, a sensitivity analysis of the optimal solution with respect to system parameters is carried out.References
Baker, R.C., Urban, T.L. (1988) A deterministic inventory system with an inventory-level-dependent demand rate. Journal of the Operational Research Society, 39(9): 823
Balkhi, Z.T., Benkherouf, L. (1996) On the optimal replenishment schedule for an inventory system with deteriorating items and time varying demand and production rates. Computers and Industrial Engineering, 30(4): 823
Balkhi, Z.T., Benkherouf, L. (2004) On an inventory model for deteriorating items with stock dependent and time-varying demand rates. Comput. Oper. Res., 31(2): 223
Buzacott, J.A. (1975) Economic order quantities with inflation. Operational Research Quarterly, Vol. 26, 553-558
Chang, C.T., Goyal, S.K., Teng, J.T. (2007) On an EOQ model for perishable items under stock-dependent selling rate and time-dependent partial backlogging by Dye and Ouyang. European Journal of Operational Research, 174, 923-929
Chang, H.J., Dye, C.Y. (1999) An EOQ model for deteriorating items with time varying demand and partial backlogging. Journal of the Operational Research Society, 50 (11), 1176-182
Chung, K.J., Lin, C.N. (2001) Optimal inventory replenishment models for deteriorating items taking account of time discounting. Computers and Operations Research, 28(1): 67
Covert, R. B., Philip, G. S. (1973) An EOQ model with Weibull distribution deterioration. AIIE Transactions, 5 323-326
Datta, T.K., Paul, K. (2001) An inventory system with stock-dependent, price-sensitive demand rate. Production Planning & Control, 12, 13-20
Dave, U., Patel, L.K. (1981) T, Si: Policy inventory model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 32, 137-142
Dye, C.Y., Chang, H.J., Teng, J.T. (2006) A deteriorating inventory model with time-varying demand and shortage-dependent partial backlogging. European J. Oper. Res., 172(2): 417
Ghare, P.M., Schrader, G.F. (1956) A model for exponentially decaying inventory. Journal of Industrial Engineering, vol. 14, str. 238-243
Gupta, R., Vrat, P. (1986) Inventory model for stock-dependent consumption rate. Opesearch, 23, 19-24
Hou, K.L. (2006) An inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting. European Journal of Operational Research, 168(2): 463
Levin, R.I., Mclaughlin, C.P., Lamone, R.P., Kottas, J.F. (1972) Production/operations management: Contemporary policy for managing operating systems. New York: McGraw-Hill
Mandal, B.N., Phaujdar, S. (1989) A note on an inventory model with stock-dependent consumption rate. Opsearch, 26(1): 43
Montgomery, D.C. (1982) Economic design of an X control chart. Journal of Quality Technology, 14, str. 40-13
Mukhopadhyay, S., Mukherjee, R.N., Chaudhuri, K.S. (2004) Joint pricing and ordering policy for a deteriorating inventory. Computers & Industrial Engineering, 47(4): 339
Mukhopadhyay, S., Mukherjee, R.N., Chaudhuri, K.S. (2005) An EOQ model with two-parameter Weibull distribution deterioration and price-dependent demand. Internat. J. Math. Ed. Sci. Tech., 36(1): 25
Ouyang, L.Y., Wu, K.S. (2006) A study on an inventory model for non-instantaneous deteriorating items with permissible delay in payments. Computers & Industrial Engineering, 51(4): 637
Papachristos, S., Skouri, K. (2000) An optimal replenishment policy for deteriorating items with time-varying demand and partial-exponential type-backlogging. Oper. Res. Lett., 27(4): 175
Sachan, R.S. (1984) On (T, Si) policy inventory model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 35, 1013-1019
san José, L.A., Sicilia, J., García-Laguna, J. (2006) Analysis of an inventory system with exponential partial backordering. International Journal of Production Economics, 100(1): 76
Teng, J.T., Chang, H.J., Dye, C.Y., Hung, C.H. (2002) An optimal replenishment policy for deteriorating items with time-varying demand and partial backlogging. Operations Research Letters, 30(6): 387
Teng, J.T., Yang, H.L., Ouyang, L.Y. (2003) On an EOQ model for deteriorating items with time-varying demand and partial backlogging. Journal of the Operational Research Society, 54 (4), 432-436
Teng, J.T., Yang, H.L. (2004) Deterministic economic order quantity models with partial backlogging when demand and cost are fluctuating with time. Journal of the Operational Research Society, 55(5): 495
Teng, J.T., Ouyang, L.Y., Chen, L.H. (2007) A comparison between two pricing and lot-sizing models with partial backlogging and deteriorated items. International Journal of Production Economics, 105(1): 190
Wee, H.M. (1997) A replenishment policy for items with a price-dependent demand and a varying rate of deterioration. Production Planning & Control, 8(5): 494
Wu, K.S., Ouyang, L.Y. (2006) An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging. International Journal of Production Economics, 101(2): 369
Yang, H.L. (2005) A comparison among various partial backlogging inventory lot-size models for deteriorating items on the basis of maximum profit. International Journal of Production Economics, 96(1): 119
Downloads
Published
Issue
Section
License
Copyright (c) YUJOR
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.