Solving a two-facility location problem in a space with Chebyshev metric

A minimax two-facility location problem in multidimensional space with Chebyshev metric is examined subject to box constraints on the feasible area. In problem, there are two groups of points known coordinates, and one needs find coordinates for optimal new under given constraints. The considered if it minimizes maximum following values: distance between first point farthest group, second points. formulated as a optimization terms tropical mathematics that studies theory applications algebraic systems idempotent operations. direct analytical solution derived based use methods results optimization. result obtained which describes set parametric form ready formal analysis solutions straightforward calculation.