Branch vector determinant and matrix feedback loop calculation method

A vector matrix and feedback loop technology, applied in the field of branch vector determinant and matrix feedback loop calculation method, which can solve the problem that the modeler is not clear

Inactive Publication Date: 2011-03-16
贾仁安
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Problems solved by technology

The modeler does not know how many feedback loops the complex flow graph structure model contains, and what will happen to the feedback loop of the flow country after adding some technologies

Method used

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  • Branch vector determinant and matrix feedback loop calculation method

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Embodiment Construction

[0018] Feedback loop calculating by Branch-vector is a system dynamics calculation method created by Professor Jia Ren'an of Nanchang University and his research team using the following principles. It has been continuously supplemented and perfected in the application of theory and methods for several years.

[0019] principle

[0020] This method combines graph theory and algebraic theory

[0021] 1. This method converts the branches in graph theory into branch vectors in algebra:

[0022] 2. Convert the basic tree-entry model of the flow rate into a branch vector determinant, establish a branch vector determinant feedback loop algorithm, convert the basic tree-entry model of the flow rate into a branch vector matrix, and establish a branch vector matrix feedback loop algorithm.

[0023] (1) Branch vector determinant calculation method for all feedback loops in the system flow graph

[0024] Step 1 Establish the basic flow rate tree model T equivalent to the system flow gr...

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Abstract

The invention discloses a branch vector determinant and matrix feedback loop calculation method, which belongs to a calculation method of system dynamics. The method is a branch vector feedback loop calculation method, which comprises four parts, namely a branch vector determinant calculation method of all feedback loops of a system flowchart, the branch vector determinant calculation method of a new feedback loop of the system flowchart, a branch vector matrix calculation method of the new feedback loop of the system flowchart and the branch vector matrix calculation method of all second-order feedback loops of the system flowchart. The method has the advantages that: the branch vector determinant and matrix feedback loop calculation method is provided and perfect combination of graph theory and linear algebra in the research of a complex system dynamic feedback problem is realized, and the analysis process can be realized by means of a computer program; all the feedback loops of a complex flowchart structure model are calculated, the feedback loop set of the flowchart structure model is established, the system feedback change rule can be disclosed and the analysis of a quantitative simulation result is facilitated; the feedback structure change of a new countermeasure can be favorably disclosed and implemented and the effect of the new countermeasure can be disclosed by calculating the new feedback loop for increasing an in-tree; and all second-order feedback loops of the complex flowchart can be calculated, so that the method is favorable for generating various basic modes by using the second-order feedback loop.

Description

technical field [0001] The branch vector determinant and matrix feedback loop calculation method disclosed by the invention belongs to a calculation method of the subject of system dynamics. Background technique [0002] System Dynamics (System Dynamecis) was founded in the 1950s by Professor Jay W. Forrester of the Massachusetts Institute of Technology. System dynamics is a science that combines system science theory and computer simulation closely to study the structure and behavior of system feedback. It is an important branch of system science and management science. [0003] System dynamics is composed of many parts. The establishment of simulation flow graph model is the core content of system dynamics. Flow graph is a feedback structure model that depicts the researched system. Simulation is to reveal the feedback quantitative change law of system behavior during a simulation period. Feedback The loop is the root cause of the dynamic complexity of the system feedbac...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 贾仁安
Owner 贾仁安
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