Calculating the Groundwork Volume for the Construction of Logging Roads

Abstract

Organizational and engineering models provide a formalized description of the construction process, including a list of operations, their sequence, description of the relationship between the operations, and the features of the work technology. Network models have the most complete mathematical description. However, a number of authors in their works point to serious shortcomings inherent in the network modeling of construction flow. The network model allows displaying accurately enough only the relationship of specialized traffic flows when the object is divided into sections equal in size to interchangeable grips. Such schedules are quite effective in planning and operational management of road works in a short planning period (decade or month). The adequacy of the real construction representation is violated when the network model is enlarged for long-term planning of the flow. The currently developed so-called generalized network models achieve process combination and continuity by introducing links between the operations, characterized by temporal parameters assuming any values, including negative values. However, the complexity of the mathematical description of these models still prevents their use in solving optimization problems. The research aims at developing a mathematical model and an algorithm for calculating the operational control of the groundwork volume during the construction of logging roads. A model of a complex object flow is proposed, where the flow operation time has a discrete nature. This condition is realized in the model by dividing the planned operation period of a complex flow into equal time intervals – scheduling intervals. The below described model of complex road construction flow can be presented on the basis of the scheduling task classification scheme and the analysis of existing economic and mathematical models and methods. The scheduling model developed for the purpose of determining the optimal groundwork for the road construction elements is a deterministic (at the 1st stage), discrete in time, engineering model with variable speeds of operations.