存货影响销售率且理论需求为线性时变函数时的EOQ模型

Abstract

Abstract: In 1995,Padmanabhan and Vrat presented inventory models for deteriorating items with a constant theoretical demand rate and stock dependent selling rate.Based on this result,in 2000,Kun-Jen Chung,Peter Chu and Shaw-Ping Lan devoloped the necessary and sufficient conditions of the existence and uniqueness of the optimal solutions of the profit per unit time functions without backlogging and with complete backlogging.Actually,the theoretical demand rate must not be constant,it may be linear function or exponential function of other more complex functions of time.This paper puts forward an EOQ model when theoretical demand rate is a linear time-varying increasing function without backlogging and with complete backlogging,discusses the existence and uniqueness of optimum solution without backlogging.The theoretical evidence is provided for the inventory system to make management decision.

Key words: deterioration, stock dependent selling rate, theoretical demand rate, linear time-varying increaing function, EOQ Model

CLC Number:

C931
F253.4

LUO Bing,XIONG Zhong-kai,YANG Xiu-tai. An EOQ Model Taking Account of the Linear Time-Varying Increasing Demand under Stock Dependent Selling Rate[J]. Chinese Journal of Management Science, 2002, (6): 66-71.

References

[1] Gupta,R,Vrat,P.Inventory model for stock-dependent consumption rate[J].Opsearch,1986,23:19-24.
[2] Padmanabhan,G,Vart,P.Inventory models for perishable items under stock dependent consumption rate[J].Paper presented at the XXIst Annual ORSI Convention,1988,Trivandrum,India.
[3] Baker,RC,Urban,TL.A deterministic inventory system with an inventory-dependent demand rate[J].Journal of the Operational Research Society,1988,39:823-831.
[4] Mandal,BN,Phaujdar,S.A Note on an inventory model with stock-dependent consumption rate[J].Opsearch,1989a,26:43-46.
[5] Mandal,BN,Phaujdar,S.An inventory model for deteriorating items and stock-dependent consumption rate[J].Journal of the Operational Research Society,1989b,40:483-488.
[6] Datta,TK,Pal,AK.Deterministic inventory systems for deteriorating item with inventory-level-dependent demand rate and shortages[J].Opsearch,1990a,27:213-224.
[7] Datta,TK,Pal,AK.A note on an inventory model with inventory-level-dependent demand rate[J].Journal of the Operational Research Society,1990b,41:971-975.
[8] Vrat,P,Padmanabhan,G.An inventory model under inflation for stock dependent consumption rate items[J].Engineering Costs and Production Economics,1990,19:379-383.
[9] Padmanabhan,G,Vrat,P.An EOQ model for items with stock dependent consumption rate and exponential decay[J].Engineering Costs and Production Economics,1990,18:241-246.
[10] Urban,TL.An inventory model with an inventory-level-dependent demand rate and relaxed terminal conditions[J].Journal of the Operational Research Society,1992,43:721-724.
[11] Goh,M.Some results for inventory models having inventory level dependent demand rate[J]..International Journal of Production Economics,1992,27:155-160.
[12] Goh,M.EOQ models with generan demand and holding cost functions[J].European Journal of Operational Research,1994,73:50-54.
[13] Pal,S,Goswami,A,Chaudhuri,KS.A deterministic inventory model for deteriorating items with stock-dependent demand rate[J].International Journal of Production Economics,1993,32:291-299.
[14] Bar-Lev,SK,Parlar,M,Perry,D.On the EOQ model with inventory-level-dependent demand rate and random yield[J].Operations Research Letters,1994,16:167-176.
[15] Su,CT,Tong,LI,Liao,HC.An inventory model under inflation for stock dependent consumption rate and exponential decay[J].Opsearch,1996,33:71-82.
[16] Giri,BC,Pal,S,Goswami,A,Chaudhuri,KS.An inventory model for deteriorating items with stock-dependent demand rate[J].Europem Journal of Operational Research,1996,95:604-610.
[17] Sarker,BR,Mukherjee,S,Balan,CV.An order-level lot size inventory model with inventory-level dependent demand and deterioration[J].International Journal of Production Economics,1997,48:227-236.
[18] Padmanabhan,G,Vrat,P.EOQ models for perishable items under stock dependent selling rate[J]..European Journal of Operational Research,1995,86:281-292.
[19] Kun-Jen Chung,Peter Chu,Shaw-ping Lan.A note on EOQ models for deteriorating items under stock dependent selling rate.European Journal of Operational Research,2000,124:550-559.

An EOQ Model Taking Account of the Linear Time-Varying Increasing Demand under Stock Dependent Selling Rate

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