Flower Pollination Algorithm for Vehicle Routing Problem with Time Windows (VRPTW)

A. B. Pratiwi, Ismi Yayuk Rakhmawati, E. Winarko
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Abstract

Vehicle Routing Problem with Time Windows (VRPTW) is a vehicle route deciding problem that is used in order to serve customer who involved more than one vehicle with a limited time, so as a minimum distance route is obtained without disobeying vehicle capacity cargo restriction and time range. Flower Pollination Algorithm (FPA) is an algorithm which inspires from nature and that is flower pollination process toward a plant. Within an FPA, there are two main steps to use, they are global flower pollination and local flower pollination. Those two steps are determined by using switch probability parameter. This program is made in Java language program to apply FPA in solving VRPTW which is implemented in three example cases, they are small-scale datum with 25 customers, medium-scale datum with 50 customers, and big-scale datum with 100 customers. According to the results, it can be concluded that the larger number of flowers and iterations can affect the number of total minimum travel distance become smaller. Furthermore, a better total minimum travel distances also will be obtained if the value of switch probability parameter is larger.
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带时间窗车辆路径问题(VRPTW)的花授粉算法
带时间窗车辆路径问题(VRPTW)是为了在有限的时间内为涉及多辆车辆的客户提供服务,从而在不违反车辆容量、载货限制和时间范围的情况下获得最小距离路线的车辆路径决策问题。花授粉算法(FPA)是一种从自然界中获得灵感的算法,即花对植物的授粉过程。在FPA中,有两个主要步骤,它们是全球花卉授粉和当地花卉授粉。这两个步骤由开关概率参数确定。本程序采用Java语言编写程序,应用FPA解决VRPTW问题,并通过25个客户的小型数据、50个客户的中型数据和100个客户的大型数据三个实例进行了实现。根据结果可以得出,花次数和迭代次数越多,影响总最小行进距离越小。此外,开关概率参数值越大,总最小行程距离也越好。
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