Hybrid Relative Combined Pseudo-Entropy Function as a Tool for a Transport System Management

UDC 303.725.36:159.9.015:159.964.21:519.86 (045) DOI:10.18372/1990-5548.61.14220

A. V. Goncharenko. Hybrid Relative Combined Pseudo-Entropy Function as a Tool for a Transport System Management // Electronics and Control Systems, N 3(61) – Kyiv: NAU, 2019. – pp. 50–54.

It is made an attempt to discover an explainable plausible reason for the existence of the transport system’s model production function, or a number of transportation means function, as a hyperbolic type function of the available transportation mean capacity, or a linear type function for two types of transportation means. Substantiation is made in terms of the calculus of variations theory with the help of the special hybrid-optional effectiveness functions uncertainty measure, which includes the hybrid functions entropy of the traditional Shannon’s style. In the studied cases, the simplest variational problems solutions, which are the numbers of the transportation means, are stipulated by the specified quadratic forms. It is proposed to evaluate the magnitude and direction of the transport system’s managerial certainty with the use of the combined hybrid relative pseudo-entropy function. This is a new insight into the scientific explanation of the well-known dependency derived in another way. The developed theoretical contemplations and mathematical derivations are finalized with a simplest numerical example for the traditional entropy weakness.

Index Terms—Transport system; production function; multi-optionallity doctrine; conditional optimality; hybrid-optional effectiveness function; pseudo-entropy; prevailing index; domination factor; variational problem.

References: 9 names.