×
Teng, Jinn-Tsair; Chang, Horng-Jinh; Dye, Chuang-Yuan; Hung, Cheng-Hsing

An optimal replenishment policy for deteriorating items with time-varying demand and partial backlogging. (English) Zbl 1013.90006

Oper. Res. Lett. 30, No. 6, 387-393 (2002).
Summary: Recently, Papachristos and Skouri developed an inventory model in which unsatisfied demand is partially backlogged at a negative exponential rate with the waiting time. We complement the shortcoming of their model by adding not only the cost of lost sales but also the non-constant purchase cost.

Cited in 40 Documents

MSC:

90B05 Inventory, storage, reservoirs

Keywords:

inventory; lost sizing; shortages; partial backlogging; deterioration
PDF BibTeX XML Cite
\textit{J.-T. Teng} et al., Oper. Res. Lett. 30, No. 6, 387--393 (2002; Zbl 1013.90006)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] Barbosa, L.C.; Friedman, M., Deterministic inventory lot size models—a general root law, Management sci., 24, 819-826, (1978) · Zbl 0383.90036
[2] Bellman, R.E., Dynamic programming, (1957), Princeton University Press Princeton, NJ
[3] Chang, H.-J.; Dye, C.-Y., An EOQ model for deteriorating items with time varying demand and partial backlogging, J. oper. res. soc., 50, 1176-1182, (1999) · Zbl 1054.90507
[4] Dave, U., A deterministic lot-size inventory model with shortages and a linear trend in demand, Naval res. logist., 36, 507-514, (1989) · Zbl 0672.90037
[5] Donaldson, W.A., Inventory replenishment policy for a linear trend in demandan analytical solution, Oper. res. quart., 28, 663-670, (1977) · Zbl 0372.90052
[6] Friedman, M.F., Inventory lot-size models with general time-dependent demand and carrying cost function, Infor, 20, 157-167, (1982) · Zbl 0502.90018
[7] Goyal, S.K.; Hariga, M.A.; Alyan, A., The trended inventory lot sizing problem with shortages under a new replenishment policy, J. oper. res. soc., 47, 1286-1295, (1996) · Zbl 0863.90053
[8] Hariga, M.A., Optimal EOQ models for deteriorating items with time-varying demand, J. oper. res. soc., 47, 1228-1246, (1996) · Zbl 0871.90028
[9] Papachristos, S.; Skouri, K., An optimal replenishment policy for deteriorating items with time-varying demand and partial—exponential type—backlogging, Oper. res. lett., 27, 175-184, (2000) · Zbl 1096.90518
[10] Resh, M.; Friedman, M.; Barbosa, L.C., On a general solution of the deterministic lot size problem with time-proportional demand, Oper. res., 24, 718-725, (1976) · Zbl 0363.90044
[11] Teng, J.-T., A note on inventory replenishment policy for increasing demand, J. oper. res. soc., 45, 1335-1337, (1994) · Zbl 0819.90030
[12] Teng, J.-T., A deterministic replenishment model with linear trend in demand, Oper. res. lett., 19, 33-41, (1996) · Zbl 0865.90038
[13] Teng, J.-T.; Chern, M.-S.; Yang, H.-L., An optimal recursive method for various inventory replenishment models with increasing demand and shortages, Naval res. logist., 44, 791-806, (1997) · Zbl 0890.90052
[14] Teng, J.-T.; Chern, M.-S.; Yang, H.-L.; Wang, Y.J., Deterministic lot-size inventory models with shortages and deterioration for fluctuating demand, Oper. res. lett., 24, 65-72, (1999) · Zbl 0956.90002
[15] Wee, H.-M., A deterministic lot-size inventory model for deteriorating items with shortages and a declining market, Comput. oper. res., 22, 345-356, (1995) · Zbl 0827.90050
[16] Yang, H.-L.; Teng, J.-T.; Chern, M.-S., Deterministic inventory lot-size models under inflation with shortages and deterioration for fluctuating demand, Naval res. logist., 48, 144-158, (2001) · Zbl 0981.90003
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.