I am looking for a name for that problem in literature!

(and if you know literature also it would be great)

I did not find it and given the wide audience here, maybe you know more. Thank you

$$ min_x max_k \sum_{i,j}c_{ijk}x_{ij} \quad k = 1 ... d $$

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

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