An economic order quantity model with ramp type demand rate, constant deterioration rate and unit production cost
DOI:
https://doi.org/10.2298/YJOR140505020MKeywords:
ramp type demand, constant deterioration, unit production cost, without shortageAbstract
We have developed an order level inventory system for deteriorating items with demand rate as a ramp type function of time. The finite production rate is proportional to the demand rate and the deterioration rate is independent of time. The unit production cost is inversely proportional to the demand rate. The model with no shortages case is discussed considering that: (a) the demand rate is stabilized after the production stopping time and (b) the demand is stabilized before the production stopping time. Optimal costs are determined for two different cases.References
Chen, H. L., Ouyang, L. Y., and Teng, J. T., “On an EOQ model with ramp type demand rate and time dependent deterioration rate”, International Journal of Information and Management Sciences, 17(4) (2006) 51-66.
Cheng, M., and Wang, G., “A note on the inventory model for deteriorating items with trapezoidal type demand rate”, Computers and Industrial Engineering, 56 (2009) 1296-1300.
Covert, R. P., and Philip, G. C., “An EOQ model for items with Weibull distribution deterioration”, AIIE Transactions, 5 (1973) 323-326.
Dave, U., and Patel, L. K., “(T, Si) policy inventory model for deteriorating items with time proportional demand”, The Journal of the Operational Research Society, 32 (1981) 137-142.
Deng, P. S., “Improved inventory models with ramp type demand and Weibull deterioration”, International Journal of Information and Management Sciences, 16(4) (2005) 79-86.
Deng, P. S., Lin, R. H. J., and Chu, P., “A note on the inventory models for deteriorating items with ramp type demand rate”, European Journal of Operational Research, 178(1) (2007) 112-120.
Donaldson, W. A., “Inventory replenishment policy for a linear trend in demand: an analytic solution”, Operational Research Quarterly, 28 (1977) 663-670.
Ghare, P. M., and Schrader, G. F., “A model for exponentially decaying inventories”, Journal of Industrial Engineering, 14 (1963) 238-243.
Giri, B. C., Jalan, A. K., and Chaudhuri, K. S., “Economic order quantity model with Weibull deterioration distribution, shortage and ramp-type demand”, International Journal of Systems Science, 34(4) (2003) 237-243.
Goyal, S. K., “On improving replenishment policies for linear trend in demand”, Engineering Costs and Production Economics, 10 (1986) 73–76.
Goyal, S. K., and Giri, B. C., “Recent trends in modeling of deteriorating inventory”, European Journal of Operational Research, 134 (2001) 1-16.
Hariga, M., “An EOQ model for deteriorating items with shortages and time varying demand”, The Journal of the Operational Research Society, 46 (1995) 398-404.
Hariga, M., and Benkherouf, I., “Optimal and heuristic inventory replenishment models for deteriorating items with exponential time varying demand”, European Journal of Operational Research, 79 (1994) 123-127.
He, Y., Wang, S. Y., and Lai, K. K., “An optimal production-inventory model for deteriorating items with multiple-market demand”, European Journal of Operational Research, 203(3) (2010) 593-600.
Hill, R. M., “Inventory model for increasing demand followed by level demand”, The Journal of the Operational Research Society, 46 (1995) 1250-1259.
Intriligator, M. D., Mathematical Optimization and Economic Theory, SIAM, Philadelphia, 2002.
Manna, S. K., and Chaudhuri, K. S., “An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages”, European Journal of Operational Research, 171(2) (2006) 557-566.
Raafat, F., “Survey of literature on continuously deteriorating inventory model”, The Journal of the Operational Research Society, 42 (1991) 27-37.
Resh, M., Friedman, M., and Barbosa, L. C., “On a general solution of the deterministic lot size problem with time-proportional demand”, Operations Research, 24 (1976) 718-725.
Ruxian, L., Hongjie, L., and Mawhinney, J. R., “A review on deteriorating inventory study”, Journal of Service Science and Management, 3 (2010) 117-129.
Sicilia, J., San-Jos, L. A., and Garcia-Laguna, J., “An optimal replenishment policy for an EOQ model with partial backlogging”, Annals of Operations Research, 169 (2009) 93-115.
Skouri, K., Konstantaras, I., Manna, S. K., and Chaudhuri, K. S., “Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate”, European Journal of Operational Research, 192(1) (2011) 79-92.
Skouri, K., Konstantaras, I., Papachristos, S., and Ganas, I., “Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate”, European Journal of Operational Research, 192(1) (2009) 79-92.
Wu, K. S., “An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging”, Production Planning and Control, 12 (2001) 787-793.
Wu, K. S., and Ouyang, L. Y., “A replenishment policy for deteriorating items with ramp type demand rate”, Proceedings of the National Science Council, Republic of China (A), 24 (2000) 279-286 (Short Communication).
Wu, J. W., Lin, C., Tan, B., and Lee, W. C., “An EOQ model with ramp type demand rate for items with Weibull deterioration”, International Journal of Information and Management Sciences, 10 (1999) 41-51.
Wu, K. S., Ouyang, L. Y., and Yang, C. T., “Retailers optimal ordering policy for deteriorating items with ramp-type demand under stock-dependent consumption rate”, International Journal of Information and Management Sciences, 19(2) (2008) 245-262.
Yang, H. L., Teng, J. T., and Chern, M. S., “Deterministic inventory lot-size models under inflation with shortages and deterioration for fluctuating demand”, Naval Research Logistics, 48 (2001) 144-158.
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