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Also, in such cases the safety stock level should take into account the mean batch size.
This figure reveals that the queue length (L q ) increases with the increase in arrival rate as well as mean batch size E(X).
It is observed that the queue length (L q ) decreases with the increase in service time but it increases with the increase in mean batch size E(X).
Figure 3 exhibits the queue length (L q ) by varying repair time (d) and mean batch size E(X) for default parameters fixed as α =.21, λ1 = 1.5, λ2 = 1.25 λ3 = 1, k = 4, μ = 6.
Figure 2 exhibits the queue length (L q ) by varying service time and mean batch size E(X) for default parameters α =.21, d = 1.5, λ1 = 1.5, λ2 = 1.25, λ3 = 1, k = 4.
Figure 1 exhibits the queue length (L q ) by varying homogenous arrival rates (λ1 = λ2 = λ3 = λ) and heterogeneous arrival rates (λ1 = 1.2λ, λ2 = λ, λ3=.8λ) with mean batch size 1(2) for default parameters α =.21, d = 1.5, μ = 6, k = 4.
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It is noticed that the queue length (L q ) increases with the increase in repair time (d) and batch size mean E X).
The parameters p and r can be obtained by fitting the mean and variance of the batch size: A ¯ = 1 + rp 1 − p, σ A 2 = rp ( 1 − p ) 2. (12..
The parameters r and p can be obtained by fitting the mean and variance of the batch size: A ¯ = r p 1 - p, σ A 2 = r p ( 1 - p ) 2. (2.).
This is different from a situation with stochastically proportional yield where production yield is a random fraction of production input and neither mean nor variance of the yield rate depends on the batch size.
Batch size for the solo and paired observations was 6.5 ± 0.2 eggs (mean ± se), which is about half the expected egg complement for a 2-day-old female E. nassaui (Mansfield et al. 2011).
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