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We provide computational results that show the effects of the distribution and variance of demand.
Variance of demand is one of the inevitable problems in the manufacturing environment.
μ k, mean demand at customer demand zone k. δ2 k, variance of demand at customer demand zone k.
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Since there is no historical data on expectation and variance of demands in each period, design of experiment method is used to evaluate the performance of the proposed CS-SA hybrid algorithm.
In one robust model, this information is supplemented by a lower bound on the demand, whereas in a second robust model, the assumption is made that the variance of the demand is known, in addition to the mean and upper bound.
The computational results of this study revealed that as the variance of the demand distribution increases, a manufacturer will increase its inventory to levels that are greater than the anticipated demand to prevent the potential loss of sales and will simultaneously raise product prices to obtain a greater profit.
Each test problem has the following input data: Expectation and variance of parts demand (E and V) are randomly generated with uniform distribution so that (E in (1000,10000)) and (V in (1000,3000)).
We estimate the mean and variance of lead-time demand (LTD) from historical LTD data, rather than from the component period demands and lead time.
Variance and standard deviation of demand during lead time are determined from the following equations: VL 2 ik = X ik 2 × Var T 5 ik Open image in new window (3.18) σ 2 ik = VL 2 ik.
In this paper, in addition to the aforementioned assumptions, time value of money and dependency of product demands are also considered so that the expectation, variance and covariance of demands are randomly changed from period to period.
Since there is no historical data on the expectation, variance, and covariance of demands in each period, the proposed model is tested in a deterministic environment by comparing with previous approaches as benchmark.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com