×

zbMATH — the first resource for mathematics

The production-inventory problem of a product with time varying demand, production and deterioration rates. (English) Zbl 1026.90001
Summary: We consider the production-inventory problem in which the demand, production and deterioration rates of a product are assumed to vary with time. Shortages of a cycle are allowed to be backlogged partially. Two models are developed for the problem by employing different modeling approaches over an infinite planning horizon. Solution procedures are derived for determining the optimal replenishment policies. A procedure to find the near-optimal operating policy of the problem over a finite time horizon is also suggested.

MSC:
90B05 Inventory, storage, reservoirs
Software:
Mathematica
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Aggarwal, V.; Bahari-Kashani, H., Synchronized production policies for deteriorating items in a declining market, IIE transactions, 23, 2, 185-197, (1991)
[2] Balkhi, Z.T.; Benkherouf, L., A production lot size inventory model for deteriorating items and arbitrary production and demand rates, European journal of operational research, 92, 302-309, (1996) · Zbl 0913.90091
[3] Balkhi, Z.T.; Benkherouf, L., On the optimal replenishment schedule for an inventory system with deteriorating items and time-varying demand and production rates, Computers & industrial engineering, 30, 823-829, (1996)
[4] Balkhi, Z.T., On the global optimal solution to an integrated inventory system with general time varying demand production and deterioration rates, European journal of operational research, 114, 29-37, (1999) · Zbl 0945.90003
[5] Balkhi, Z.T., Viewpoint: on the optimal production stopping and restarting times for an EOQ model with deteriorating items, Journal of the operational research society, 51, 999-1001, (2000)
[6] Balki, Z.T.; Goyal, S.K.; Giri, B.C., Viewpoint: some notes on the optimal production stopping and restarting times for an EOQ model with deteriorating items, Journal of the operational research society, 52, 1300-1301, (2001)
[7] Goyal, S.K.; Morin, D.; Nebebe, F., The finite horizon trended inventory replenishment problem with shortages, Journal of the operational research society, 43, 1173-1178, (1992) · Zbl 0762.90021
[8] Goyal, S.K.; Giri, B.C., Recent trends in modeling of deteriorating inventory–an invited review, European journal of operational research, 134, 1-16, (2001) · Zbl 0978.90004
[9] Raafat, F., Survey of literature on continuously deteriorating inventory model, Journal of the operational research society, 42, 27-37, (1991) · Zbl 0718.90025
[10] Wee, H.M.; Wang, W.T., A variable production scheduling policy for deteriorating items with time-varying demand, Computers & operations research, 26, 237-254, (1999) · Zbl 0947.90052
[11] Wee, H.M.; Law, S.T., Economic production lot size for deteriorating items taking account of the time-value of money, Computers & operations research, 26, 545-558, (1999) · Zbl 0933.90007
[12] Wolfram, S., The MATHEMATICA book, (1996), Wolfram Media Cambridge University Press · Zbl 0878.65001
[13] Yan, H.; Cheng, T.C.E., Optimal production stopping and restarting time for an EOQ model with deteriorating items, Journal of the operational research society, 49, 1288-1295, (1998) · Zbl 1140.90325
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.