I am looking for a name for the following question in literature!

(and if you know it, then it would be great)

I couldn't find it and due to wide audience here, presumably you know more. Thank you

$$ \text{min}_x \text{max}_k \sum_{i,j}c_{ijk}x_{ij} \quad k = 1 ... d $$

$$ \sum_{j} x_{ij} = 1 \quad i = 1...n $$

$$ x_{ij} \in \{0,1\} $$