This paper was motivated by the problem of scheduling the openings of pharmacies during week-ends and holiday periods (shifts). The problem can be modeled as a coloring problem on a graph. In this paper we focus on the special case where the underlying graph is a tree, or, more generally, it is endowed with a tree-metric, and we provide a polynomial-time algorithm. We also provide direct optimal solutions for special trees like stars and paths.
Optimal shift coloring of trees
ANDREATTA, GIOVANNI;DE GIOVANNI, LUIGI;
2014
Abstract
This paper was motivated by the problem of scheduling the openings of pharmacies during week-ends and holiday periods (shifts). The problem can be modeled as a coloring problem on a graph. In this paper we focus on the special case where the underlying graph is a tree, or, more generally, it is endowed with a tree-metric, and we provide a polynomial-time algorithm. We also provide direct optimal solutions for special trees like stars and paths.
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