В. Д. Гавриленко, Євген Івохін, Катерина Івохіна, Надія Рудоман
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摘要

本文讨论了求解模糊旅行推销员问题的退火模拟方法。模糊旅行推销员问题被表述为寻找一条以最小旅行时间到达给定数量的城市而不重复的路线的问题。介绍了退火模拟方法的内容,描述了该方法的形式化算法。给出了模糊三角数的公理。建立了一个模糊旅行商问题,其中城市间的时间参数以右模糊数的形式给出,其载体值取决于各种外部条件和因素。给出了不同模糊数切片参数下旅行商问题清晰和模糊两种形式的计算结果。关键词:旅行商问题,模拟退火法,算法,模糊数,水平集,时间间隔形式化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ПРО ПІДХІД ДО РОЗВ’ЯЗАННЯ НЕЧІТКОЇ ЗАДАЧІ КОМІВОЯЖЕРА НА ОСНОВІ МЕТОДУ ІМІТАЦІЇ ВІДПАЛУ
This article discusses the annealing simulation method for solving the fuzzy traveling salesman problem, which is formulated as the problem of finding a route to visit a given number of cities without repetitions with a minimum travel time. The content of the annealing simulation method is presented, the method formalization algorithm is described. The axiomatics of fuzzy triangular numbers are given. A fuzzy traveling salesman problem is formulated, in which the time parameters of movement between cities are given in the form of right fuzzy numbers, the carrier value in which depends on various external conditions and factors. The results of calculations for solving the traveling salesman problem in clear and fuzzy forms with different parameters of slices of fuzzy numbers are presented. Key words: traveling salesman problem, simulated annealing method, algorithm, fuzzy numbers, level set, formalization of time intervals.
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