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Random valuing algorithm for two-dimensional probability distribution matrix

A technology of probability distribution and matrix, which is applied in the field of random value algorithm for two-dimensional probability distribution matrix, and can solve problems that cannot be directly applied

Pending Publication Date: 2020-09-04
TAIZHOU UNIV
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Problems solved by technology

It can be seen that the traditional roulette random value algorithm has good performance, but it completes related operations based on the probability distribution vector, and cannot be directly applied to the case of a two-dimensional probability distribution matrix

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  • Random valuing algorithm for two-dimensional probability distribution matrix

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Embodiment Construction

[0020] The following are specific embodiments of the present invention combined with the accompanying drawings to further describe the technical solutions of the present invention, but the present invention is not limited to the following embodiments.

[0021] Such as figure 1 As shown in (a), the method in this embodiment randomly selects an integer tuple composed of row number i and column number j according to a two-dimensional probability distribution matrix Φ with 4 rows and 4 columns The process includes the following steps 1 and 2 in turn:

[0022] Step 1 (pre-step) includes the following sub-steps 1.1 to 1.4 in turn:

[0023] Step 1.1: Create a matrix Θ with 4 rows and 5 columns. For the case of 1≤x≤4 and 1≤y≤4, set Θ x,y =Φ x,y .

[0024] Step 1.2: Traverse each row of Θ. In the process of traversing each row, traverse from the second element of the current traversed row to the fourth element one by one: Set the row number of the current traversed element to x and column numb...

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Abstract

The invention provides a random valuing algorithm for a two-dimensional probability distribution matrix, and belongs to the technical field of mathematical modeling analysis. The technical problem that an existing roulette random valuing algorithm cannot be suitable for two-dimensional probability distribution matrix data is solved. The algorithm comprises the following steps: a preposition step:creating a matrix [theta] of u rows and v+1 columns based on [phi]; a valuing step: valuing; randomly generating a plurality of sub-pixels which are located at (0.0; 1.0], and a real number [delta]1 in the interval, determining the row number i of the first element which is greater than or equal to [delta]1 from top to bottom in the (v+1)th column of [theta] in a binary search mode; and randomly generating a real number [delta]2 in the interval of (0.0, [theta]i, v) according to uniform distribution, determining a column number j of a first element which is greater than or equal to [delta]2 from left to right in the ith row of [theta] in a binary search mode, and forming an integer element progenitor (i, j) by using the row number i and the column number j. According to the invention, random valuing operation of the two-dimensional probability distribution matrix can be realized.

Description

Technical field [0001] The present invention belongs to the technical field of mathematical modeling and analysis, and relates to a theoretical research method for random value selection of complex system computer simulation and discrete probability distribution, in particular a random value selection algorithm for a two-dimensional probability distribution matrix. Background technique [0002] The computer simulation of complex systems often involves random value operations of discrete random events to generate simulation cases. Roulette Algorithm is a commonly used random value algorithm among them. [0003] Using a two-dimensional matrix can more intuitively describe the probability distribution of some discrete random events in real life. For example, the OD demand probability distribution matrix is ​​often used to describe the proportion of passenger travel demand between stations in a certain period of the urban public transport network. The matrix can be established based on...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F111/08G06F111/10
CPCG06F30/20G06F2111/10G06F2111/08
Inventor 陈光王宇欣王三秀崔跃利
Owner TAIZHOU UNIV
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