Sangsawang O, Chanta S. Capacitated single-allocation hub location model for a flood relief distribution network. Computational Intelligence. 2020;36:1320–1347.

The errors are in Section 3.2 Model formulation, Equations (1), (2), (4), and (7). These errors are critical, especially in the objective model (1). It appeared that the index was mixed with the decision variables, so it made the whole Equation (1) wrong.

The wrong equation: k is an index and should not be in between the summation, the k on the top should be capital K, and the X in front of the O should be a Greek letter.

$$\mathit{Minimize}\sum _{i=1}^{I}k\sum _{k=1}^k{C}_{\mathit{ik}}^{(m,t)}{X}_{\mathit{ik}}\left({\mathit{XO}}_i+\delta D_i\right)+\sum _{i=1}^I\sum _{k=1}^K\sum _{l=1}^L\alpha C_{\mathit{kl}}^{(m,t)}{Y}_{\mathit{kl}}^i+\sum _{k=1}^K{F}_k{X}_{\mathit{kk}}$$ (1)

Should be:

$$\text{Minimise}\sum _{i=1}^I\sum _{k=1}^K{C}_{\mathit{ik}}^{(m,t)}{X}_{\mathit{ik}}\left(\chi O_i+\delta D_i\right)+\sum _{i=1}^I\sum _{k=1}^K\sum _{l=1}^L\alpha C_{\mathit{kl}}^{(m,t)}{Y}_{\mathit{kl}}^i+\sum _{k=1}^K{F}_k{X}_{\mathit{kk}}$$ (1)

The wrong equation: The k on the summation is supposed to be capital K.

$$\sum _{k=1}^k{X}_{\mathit{ik}}=1\forall i$$ (2)

Should be:

$$\sum _{k=1}^K{X}_{\mathit{ik}}=1\forall i$$ (2)

The wrong equation: The j on the summation is supposed to be capital J, and the subscript kl of the second term is supposed to be lk.

$$ (4)

Should be:

$$ (4)

The wrong equation: The J = 1 should be small j = 1, and the subscript ik should be jk.

$$ (7)

Should be:

$$ (7)

The online version of this article has been corrected accordingly.

We apologize for this error.

中文翻译：

---

防洪配送网络容量单一分配枢纽位置模型的修正

Sangsawang O，Chanta S。防洪配送网络的容量单一分配枢纽位置模型。计算智能。 2020；36：1320–1347。

错误位于第 3.2 节模型公式、方程 (1)、(2)、(4) 和 (7) 中。这些错误非常严重，尤其是在客观模型 (1) 中。看起来该指数与决策变量混合在一起，因此导致整个方程（1）错误。

错误的等式：k是一个索引，不应该在求和之间，顶部的k应该是大写K，O前面的X应该是希腊字母。

$$\mathit{最小化}\underset{我=1}{\overset{我}{\Sigma }}k\underset{k=1}{\overset{k}{\Sigma }}{C}_{\mathit{我知道}}^{（米,t）}{X}_{\mathit{我知道}}（{\mathit{XO}}_{我}+\delta D_{我}）+\underset{我=1}{\overset{我}{\Sigma }}\underset{k=1}{\overset{K}{\Sigma }}\underset{我=1}{\overset{L}{\Sigma }}\alpha C_{\mathit{吉隆坡}}^{（米,t）}{是}_{\mathit{吉隆坡}}^{我}+\underset{k=1}{\overset{K}{\Sigma }}{F}_k{X}_{\mathit{kk}}$$ (1)

应该：

$$\text{最小化}\underset{我=1}{\overset{我}{\Sigma }}\underset{k=1}{\overset{K}{\Sigma }}{C}_{\mathit{我知道}}^{（米,t）}{X}_{\mathit{我知道}}（\chi {氧}_{我}+\delta D_{我}）+\underset{我=1}{\overset{我}{\Sigma }}\underset{k=1}{\overset{K}{\Sigma }}\underset{我=1}{\overset{L}{\Sigma }}\alpha C_{\mathit{吉隆坡}}^{（米,t）}{是}_{\mathit{吉隆坡}}^{我}+\underset{k=1}{\overset{K}{\Sigma }}{F}_k{X}_{\mathit{kk}}$$ (1)

错误的等式：求和中的k应该是大写K。

$$\underset{k=1}{\overset{k}{\Sigma }}{X}_{\mathit{我知道}}=1\forall 我$$ (2)

应该：

$$\underset{k=1}{\overset{K}{\Sigma }}{X}_{\mathit{我知道}}=1\forall 我$$ (2)

错误的等式：求和中的j应该是大写J，第二项的下标kl应该是lk。

$$ (4)

应该：

$$ (4)

错误的等式：J  = 1 应该很小j  = 1，下标ik应该是jk。

$$ (7)

应该：

$$ (7)

本文的网络版本已进行相应更正。

对于这个错误，我们深表歉意。