The Rational Material Distribution Problem for Building Floor Wall Structures

Abstract

Let us consider the problem of rational layout of load-bearing structures when designing a multi-storey building. The problem is reduced to the distribution of materials for wall sections with their specified geometry, which is described by a multi-connected orthogonal polygon. The width of the walls on the entire floor is presumed to be fixed. A mathematical model of the problem has been developed that allows taking into account restrictions on certain structural elements of walls that arise in practice. A heuristic algorithm for minimizing the total cost of construction subject to the requirements for the core stiffness is proposed.