IKBFU's Vestnik

2011 Issue №4

Numerical solution of the Schrödinger equations with polynomial potentials (Part I)

Abstract

The fundamental solution of a Cauchy problem and the spectral task for a one-dimensional Schrodinger equations with potential in the form of polynomials m P (x) (m  6) is solved. Numerical calculations are applied to modelling adiabatic potentials with two minima characteristic for a proton in compounds with intramolecular hydrogen bonds.

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Set of algorithms for constructing university timetable – part 1: system of evaluating timetable quality based on fuzzy logic and features of algorithm for searching an optimal timetable

Abstract

A new approach for evaluating the quality of University timetables is proposed. This approach uses a multicriterion expert system with two quality
indexes: the average penalty imposed on timetabling and highest penalty imposed on one of the constraints. The system based on a series of intelligible rules and use the algorithms of fuzzy logic for getting the final evaluation of timetabling was created. An algorithm for searching a set of Pareto optimal timetables based on the Pareto simulated annealing algorithm is constructed.

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