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Then, we design several examples of base stock systems.
In this paper, we are interested in the design of base stock systems.
We present two methods of the literature which allow the analysis of base stock systems composed of stages in series, each stage containing one exponential station.
In a single stage system, the optimality of base stock policy, optimal base stock levels, and optimal demand lead time have also been discussed.
The difference ( S_{1} = S_{2}^{1} - S_{2} ), which is also a nonnegative integer, is called the amount of base stock of process 1 in the following of this paper.
The medieval writer Orderic Vitalis described them as a group as "of base stock who had served him [Henry] well, raised them, so to say, from the dust" and that the king "stationed them above earls and famous castellans".
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Next, we derive the optimal amount of base stocks of process 1 when ( L_{1} ) and ( t_{1} ) are given.
In "Optimal base stock level", optimal amounts of base stocks are investigated for given release lead time.
The optimal number of base stocks in process 1 is always zero, and when demand lead time exceeds ( T_{1} + d ) the optimal number of base stocks in process 2 also becomes zero.
They show that in this system, optimal demand lead time and costs decreases in the number of base stocks.
The amounts of base stocks are defined as ( S_{ 2}^{ 1} ) and ( S_{2} ), respectively, which take values of nonnegative integers and ( S_{2}^{1} ge S_{2} ).
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