Abstract

In this paper, we present a simulation-based headway optimization for urban mass rapid transit networks. The underlying discrete event simulation model contains several stochastic elements, including time-dependent demand and turning maneuver times as well as direction-dependent vehicle travel and passenger transfer times. Passenger creation is a Poisson process that uses hourly origin–destination-matrices based on anonymous mobile phone and infrared count data. The numbers of passengers on platforms and within vehicles are subject to capacity restrictions. As a microscopic element, passenger distribution along platforms and within vehicles is considered. The bi-objective problem, involving cost reduction and service level improvement, is transformed into a single-objective optimization problem by normalization and scalarization. Population-based evolutionary algorithms and different solution encoding variants are applied. Computational experience is gained from test instances based on real-world data (i.e., the Viennese subway network). A covariance matrix adaptation evolution strategy performs best in most cases, and a newly developed encoding helps accelerate the optimization process by producing better short-term results.

Highlights

  • Back in 1950, 29.6% of the world’s population lived in urban areas

  • We presented a detailed discrete event simulation model (Sect. 4.1) for urban mass rapid transit networks, inspired by a real-world case study

  • The model is embedded in a simulation-based optimization framework in which headways provide the decision variables

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Summary

Introduction

Back in 1950, 29.6% of the world’s population lived in urban areas. Since this percentage has increased every year, reaching 55.3% in 2018. North America and Europe already have reached 82.2% and 74.5% urbanization, respectively; by 2050 those values will likely be 89% in North America and over 83% in Europe In line with these trends, Vienna’s population is growing and likely will exceed two million by 2025 (Statistik Austria 2017; Hanika 2018). Such population growth (induced by a positive birth/mortality rate delta, a positive immigration/emigration delta, and influx from rural areas), combined with traffic congestion, efforts to reduce emissions, and municipal ambitions to improve the quality of life for residents (e.g., by pedestrianization, reducing auto mobile as well as truck traffic, etc.), as well as tourism, make it necessary to readjust urban public transportation systems constantly. Strategic and tactical planners must determine whether existing provisions are effective, or in future

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