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has been cited by the following article:

• TITLE: Multi-Objective Optimization of University Bus Based on Passenger Probability Density Estimation

  AUTHORS: Jingcheng Zhao, Yang Liu, Yufeng Gui

  KEYWORDS: School Bus, Parzen Window, Multi-objective Optimization, Particle Swarm Optimization

  JOURNAL NAME: Applied Mathematics, Vol.8 No.5, May 18, 2017

  ABSTRACT: In this paper, a multi-objective optimization model is presented, based on Parzen Window method which can make a theoretical analysis of the probability density function of passengers and determine the demand over a corresponding period by integration. This model can minimize the total of waiting time of passengers and the running cost of school buses with several constrains including the passengers’ numbers and the longest endurance time. Moreover, the data from Wuhan University of Technology, used as an example, verify the feasibility of the model. At last, the whole results are calculated by the Particle Swarm Optimization.