Improvement the scheduling based on the reducing of the dimensionality of the system

Autor: Dobrosotskikh, M G, Mishchenko, V Ya, Preobrazhenskii, M A
Zdroj: IOP Conference Series: Materials Science and Engineering; February 2019, Vol. 481 Issue: 1 p012029-012029, 1p
Abstrakt: In this paper a full set of system parameters "building site + resources" has been determined. Methods of discrete description of the closed system dynamics and dynamics of the open system, interacting with external objects, have been formulated. In the four-dimensional phase-space the step function, quantitatively describing the construction production calendar plan, has been defined. It is shown that the stored resources do not determine the duration of construction project implementation, but rather limit it. On the other hand, the non-stock resources determine the possibility of construction project implementation only, when the upper boarder-line of the construction project duration is fixed. The method of reducing the dimension of the phase space by taking into account the spatial and technological relationships has been formulated. It is shown that the problem of reducing the dimension of the proposed algorithm can significantly extend the class of NP-solvable problem of optimizing scheduling and allow visualization of the algorithm to optimize construction production calendar-plan, enabling a significant expansion of the area of its practical application. The possibilities of the use of orthogonal sections of the graphical representation of construction calendar plan in three-dimensional configuration space in strategic and operational management of building production practice, has been demonstrated.
Databáze: Supplemental Index