1 Correction to: OR Spectrum https://doi.org/10.1007/s00291-017-0489-8

In the original version of the article, operator symbols “\(\lfloor \rfloor \)” “\(\lceil \rceil \)” have been inadvertently processed as square brackets in Eqs. 17, 20, the first line of the third paragraph and second line of the fourteenth paragraph in Sect. 4.1.

$$\begin{aligned} I_t =S-D\left( {\lambda +t} \right) +\sum \limits _{k=1}^{\lceil \lambda /R\rceil } \left\{ {Y\left( {Q_k } \right) -E\left[ {Y\left( {Q_k } \right) } \right] } \right\} \quad t=1,2,\ldots ,R. \end{aligned}$$
(17)

Here, \(\lceil \lambda /R\rceil \) describes the number of open orders in a replenishment cycle of R periods.

$$\begin{aligned} \sigma _{I,t}^2 \left( {R,S} \right) =\left( {\lambda +t} \right) \sigma _D^2 +\lceil \lambda /R\rceil \frac{\rho _Z^2 \left( {R\sigma _D^2 +R^{2}\mu _D^2 } \right) }{\left( {1-\rho _Z^2 } \right) } \quad t=1,2,\ldots ,R. \end{aligned}$$
(20)

Since up to \(\left( {\lambda -1} \right) \) replenishments with unknown yield deviations can occur during the risk period, on average risks from \(\lfloor \left( {\lambda -1} \right) /R\rfloor \) deviations have to be taken into account if the duration of a replenishment cycle is R periods.

The original article has been corrected.