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Systems 2017, 5(4), 49; doi:10.3390/systems5040049

A Measure of the Non-Determinacy of a Dynamic Neighborhood Model

Department of Mathematics, Lipetsk State Technical University, 398600 Lipetsk, Russia
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Received: 11 September 2017 / Revised: 7 October 2017 / Accepted: 10 October 2017 / Published: 12 October 2017
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Abstract

In this paper we define a non-deterministic dynamic neighborhood model. As a special case, a linear neighborhood model is considered. When a non-deterministic neighborhood model functions, it is possible to introduce a restriction on the number of active layers, which will allow the variation of the non-determinism of the model at each moment of time. We give the notion of the non-determinacy measure and prove that it has the properties of a probability measure. We formulate the problem of reachability with partially specified parameters, layer priorities, and the non-determinacy measure. An algorithm for solving the attainability problem for a neighborhood model with variable indeterminacy and layer priorities is presented. An example of its solution is shown, which shows that when the priorities are compared and the measure of non-determinism is used, the solution of the problem can be obtained more quickly than by a method that does not use priorities. View Full-Text
Keywords: dynamic neighborhood models; non-determinism; non-determinacy measure; reachability problem dynamic neighborhood models; non-determinism; non-determinacy measure; reachability problem
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Shmyrin, A.; Sedykh, I. A Measure of the Non-Determinacy of a Dynamic Neighborhood Model. Systems 2017, 5, 49.

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