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

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 ste...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering Vol. 481; no. 1; pp. 12029 - 12037
Main Authors: Dobrosotskikh, M G, Mishchenko, V Ya, Preobrazhenskii, M A
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 11.03.2019
Subjects:
Algorithms
Calendars
Construction
Graphical representations
Open systems
Optimization
Scheduling
Step functions
System dynamics
ISSN:1757-8981, 1757-899X, 1757-899X
Online Access:Get full text
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Summary: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.
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ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/481/1/012029