A modified age reduction PM model in a finite time span

Author(s):  
C.-Y. Cheng ◽  
M. Wang ◽  
J.-T. Chen
Keyword(s):  
2006 ◽  
Vol 23 (01) ◽  
pp. 1-23 ◽  
Author(s):  
PRAKASH L. ABAD

Manufacturers and suppliers offer temporary reductions (or permanent increases) in the price charged to the resellers for a variety of reasons. The trade promotion may be offered to the reseller at a single point in time or over a finite time-span. In addition, in reselling situations, the end demand tends to be sensitive to selling price. It is commonly found that under such trade promotion (or in stockpiling to an announced price increase), not all the quantity purchased by the reseller at discount may be passed on to the final consumer at a reduced selling price. In fact, previous studies have shown that it is optimal for the reseller to carry forward some of the quantity purchased at discount and sell it later at the regular price. It has been suggested in the literature that by placing a restriction on the reseller's purchase quantity, the supplier can restrict the reseller's forward buy quantity. In this paper, we evaluate this approach. In the rest of the paper, we present alternate schemes which are easy to administer and which insure that the supplier avoids the spike in demand that occurs in the unconstrained problem.


2005 ◽  
Vol 23 (4) ◽  
pp. 225-243
Author(s):  
Ian Lerche

This article considers flow of hydrocarbons up a master fault that bifurcates and allows the hydrocarbons to enter or bypass reservoirs on either side of the bifurcated fault. In addition, leakage (or production) from each reservoir is allowed with a finite time span for the leakage. The rates of leakage from the two reservoirs are also allowed to be different so that the reservoirs either may fill, with concomitant bypass of excess hydrocarbons, or may be drained so rapidly by the leakage that they fill only partially. The timing of the leakage in respect of the timing of hydrocarbon fill is also included so that one can see how the differences in onset and end times of the leakage in relation to end time of the hydrocarbon supply influence the final fill of each reservoir. Uncertainties associated with each of the parameters entering the assessments are also allowed for, so that one can determine which of the uncertain parameters is causing the greatest uncertainty in estimates of the reservoir fill and bypass.


Risk Theory ◽  
1984 ◽  
pp. 258-287
Author(s):  
Robert Eric Beard ◽  
Teivo Pentikäinen ◽  
Erkki Pesonen
Keyword(s):  

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