Geodesic
Optimal Batch Production Strategies Under Continuous Price Decrease and Time Discounting
Yugoslav journal of operations research, Tome 17 (2007) no. 2, p. 165 .

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Single price discount in unit cost for bulk purchasing is quite common in reality as well as in inventory literature. However, in today's high-tech industries such as personal computers and mobile industries, continuous decrease in unit cost is a regular phenomenon. In the present paper, an attempt has been made to investigate the effects of continuous price decrease and time-value of money on optimal decisions for inventoried goods having time-dependent demand and production rates. The proposed models are developed over a finite time horizon considering both shortages and without shortages in inventory. Numerical examples are taken to illustrate the developed models and to examine the sensitivity of model parameters.
Classification : 90B05
Keywords: Inventory, continuous price change, time value of money, shortage. 
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     author = {S. Mandal and B.C. Giri},
     title = {Optimal {Batch} {Production} {Strategies} {Under} {Continuous} {Price} {Decrease} and {Time} {Discounting}},
     journal = {Yugoslav journal of operations research},
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     publisher = {mathdoc},
     volume = {17},
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     year = {2007},
     zbl = {1164.90003},
     language = {en},
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S. Mandal; B.C. Giri. Optimal Batch Production Strategies Under Continuous Price Decrease and Time Discounting. Yugoslav journal of operations research, Tome 17 (2007) no. 2, p. 165 . http://geodesic.mathdoc.fr/item/YJOR_2007_17_2_a1/