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μ and σ of demand per period and fixed LT

μ and σ of demand per period and fixed LT. R : demand rate per period (a random variable) R : Average demand rate per period σ R : Standard deviation of the demand rate per period. L: Lead time (a constant number of periods). LTD : demand during the lead time (a random variable)

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μ and σ of demand per period and fixed LT

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  1. μ and σof demand per period and fixed LT R: demand rate perperiod(a random variable) R: Average demand rate perperiod σR:Standard deviation of the demand rate perperiod L: Lead time (a constant number of periods) LTD: demand during the lead time (a random variable) LTD: Average demand during the lead time σLTD:Standard deviation of the demand during lead time

  2. μ and σ ofdemand per period and fixed LT A random variable R:N(R, σR) repeats itself L times during the lead time. The summation of these L random variables R, is a random variable LTD If we have a random variable LTD which is equal to summation of L random variables R LTD = R1+R2+R3+…….+RL Then there is a relationship between mean and standard deviation of the two random variables

  3. RL R L μ and σ oflead time and fixed Demand per period L: lead time (a random variable) L: Average lead time σL:Standard deviation of the lead time R: Demand per period (a constant value) LTD: demand during the lead time (a random variable) LTD: Average demand during the lead time σLTD:Standard deviation of the demand during lead time

  4. RL R L μ and σ of demand per period and fixed LT A random variable L:N(L, σL) is multipliedby a constant R and generates the random variable LTD. If we have a random variable LTD which is equal to a constant Rtimes a random variables L LTD = RL Then there is a relationship between mean and standard deviation of the two random variables

  5. R + R + R + R + R RL R R R R R R L L Variable R fixed L…………….Variable L fixed R

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