The paper presents and describes processes in civil engineering management. There are expressed mathematical formulas of their structures among them there. The model shows connections of controlled processes to control processes and procedural conditions. Proceeding of management is divided on two levels where a decision-making is realized.
Table of Contents
1. Introduction
2. Mathematical model of the problem
3. Examples of model application
4. Conclusions
Objectives and Topics
The primary objective of this work is to establish a mathematical framework for modeling and controlling economic processes within civil engineering management. The research aims to define the relationships between control processes, controlled processes, and procedural conditions to facilitate informed decision-making and optimize management outcomes.
- Mathematical modeling of processes in engineering management
- Differentiation between control and controlled processes
- Integration of procedural conditions and limitations
- Application of the dynamic detailed picture method for optimization
Excerpt from the Book
2. Mathematical model of the problem [4]
The control process A [1,2] is a basic component of procedural activity P, which is affected by a management on both levels. A formal notation for the procedural activity consists of r control processes.
Every control process has a factual content Q from which structures on controlled processes are derived.
The factual content is chosen on the first level. On the second level we influent a factual content in time. Content of each control process is composed from n grades, where n→∞. The factual content has a form:
An operation with singular values Qi, where i = 1,2.. ..n-1, follows next two rules. A value change of Qi on any grade is caused by a change on a grade i+1 and to keep value Qi constant on a grade i, Qi+1 must be equal to zero.
When choosing an appropriate grade of Qn, we should keep an eye on a real ability to influence control process and reach relatively accurate results on this grade. In specific moments the dynamic structure is approximated into a dynamic-static model. A status between these moments is called dynamic picture. For the dynamic picture is valid a following formula:
where n is a chosen grade on a control process. Further it is necessary to choose a step dQn, which is to be realized. Generally holds that dQn→0, but practically it is applied a value step with respect to required accuracy of results and ability to realize these values. Change Qn over the step dQn is called a passing to another dynamic picture. These changes have a given minimal time step dtn. Such as for dQn, dtn →0.
Summary of Chapters
1. Introduction: This chapter introduces the necessity of designing mathematical models for economic processes in civil engineering and defines the foundational concepts of control and controlled processes.
2. Mathematical model of the problem: This section provides the formal mathematical notation for procedural activity, factual contents, and the structural relationships between processes, including limitations and procedural conditions.
3. Examples of model application: This chapter illustrates the practical implementation of the proposed model through two examples: material transport optimization and structural production cost minimization.
4. Conclusions: This chapter summarizes the paper's intent to foster discussion on controlling economic processes and emphasizes that modeling should provide actionable recommendations for decision-making.
Keywords
Mathematical modeling, Civil engineering management, Control process, Controlled process, Procedural conditions, Procedural activity, Decision-making, Economic processes, Optimization, Dynamic picture, Factual content, Structural production, Material transport, Technical parameters, Limitations.
Frequently Asked Questions
What is the fundamental focus of this research paper?
The paper focuses on creating a systematic mathematical framework to describe and optimize economic processes specifically within the field of civil engineering management.
What are the core thematic areas discussed?
The core themes include the definition of control and controlled processes, the establishment of formal mathematical formulas for these interactions, and the incorporation of various limitations and procedural conditions.
What is the primary objective of the model developed?
The primary goal is to provide a structured approach that enables effective decision-making by allowing managers to optimize processes under restrictive conditions.
Which scientific method is utilized in this study?
The study utilizes mathematical modeling, specifically the "dynamic detailed picture" method, which approximates dynamic structures into manageable models to facilitate calculation and optimization.
What is covered in the main body of the text?
The main body establishes formal notations for procedural activity, details the mathematical requirements for factual content, defines procedural conditions, and demonstrates the model's application in real-world scenarios.
Which keywords best characterize this work?
Key terms include mathematical modeling, civil engineering management, control processes, controlled processes, and procedural conditions.
How does the model handle "procedural conditions"?
The model categorizes procedural conditions into three types: existent (determined), fuzzy (probabilistic), and unpredictable, integrating them into the formulas as parameters that affect process connections.
What is the difference between the first and second levels of management?
The first level involves choosing particular processes to form the model, while the second level involves realizing actual decision-making on control processes within that model.
How is the concept of a "dynamic picture" defined?
A dynamic picture represents a status between specific moments where the dynamic structure is approximated into a dynamic-static model, allowing for calculation and optimization.
What example is given for structural production?
The example demonstrates minimizing real building costs by converting project parts into a "common base" (such as calculation costs) and applying the model to manage technological and organizational constraints.
- Quote paper
- Ing. Ph.D. Daniel Macek (Author), 2008, Mathematical Model of Processes in Civil Engineering Management, Munich, GRIN Verlag, https://www.grin.com/document/112479
