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School bus planning is usually divided into routing and scheduling due to the complexity of solving them concurrently. However, the separation between these two steps may lead to worse solutions with higher overall costs than that from…

Optimization and Control · Mathematics 2017-11-16 Ali Shafahi , Zhongxiang Wang , Ali Haghani

School bus planning problem (SBPP) has drawn much research attention due to the huge costs of school transportation. In the literature, the SBPP is usually decomposed into the routing and scheduling subproblems due to its complexity.…

Data Structures and Algorithms · Computer Science 2018-10-01 Ali Shafahi , Zhongxiang Wang , Ali Haghani

This paper proposes a new formulation for the school bus scheduling problem (SBSP) which optimizes school start times and bus operation times to minimize transportation cost. Our goal is to minimize the number of buses to serve all bus…

Optimization and Control · Mathematics 2020-08-04 Liwei Zeng , Sunil Chopra , Karen Smilowitz

We consider the Single School Routing Problem (SSRP) where students from a single school are picked up by a fleet of school buses, subject to a set of constraints. The constraints that are typically imposed for school buses are bus…

Optimization and Control · Mathematics 2022-10-03 Xiaotong Guo , Samitha Samaranayake

Long school bus rides adversely affect student performance and well-being. Rural school bus rides are particularly long, incentivizing parents to drive their children to school rather than to opt for the school bus. This in turn exacerbates…

Optimization and Control · Mathematics 2025-07-29 Prabhat Hegde , Vikrant Vaze

In the school bus scheduling problem, the main contributing factor to the cost is the number of buses needed for the operations. However, in the case of subcontracting the transportation of pupils, unbalanced tours can increase the costs…

Optimization and Control · Mathematics 2019-07-30 Ali Shafahi , Sanaz Aliari , Ali Haghani

This paper addresses a new variant of the multi-trip single vehicle routing problem where the nodes are related to each other through AND-type precedence constraints. The problem aims at determining a sequence of trips to visit all the…

Optimization and Control · Mathematics 2021-06-04 Mina Roohnavazfar , Seyed Hamid Reza Pasandideh

This paper investigates a novel type of driver routing and scheduling problem motivated by a practical application in long-distance bus networks. A key difference from other crew scheduling problems is that drivers can be exchanged between…

Optimization and Control · Mathematics 2023-12-05 Pia Ammann , Rainer Kolisch , Maximilian Schiffer

The "avoid - shift - improve" framework and the European Clean Vehicles Directive set the path for improving the efficiency and ultimately decarbonizing the transport sector. While electric buses have already been adopted in several cities,…

Optimization and Control · Mathematics 2025-11-07 Xenia Haslinger , Elisabeth Gaar , Sophie N. Parragh

With the advent of self-driving cars, experts envision autonomous mobility-on-demand services in the near future to cope with overloaded transportation systems in cities worldwide. Efficient operations are imperative to unlock such a…

Optimization and Control · Mathematics 2024-05-08 G. Hiermann , M. Schiffer

Transit agencies that operate battery-electric buses must carefully manage fast-charging infrastructure to extend daily bus range without degrading on-time performance. To support this need, we propose a mixed-integer linear programming…

Optimization and Control · Mathematics 2024-03-27 Dan McCabe , Xuegang , Ban , Balazs Kulcsar

Large-scale itinerary planning is a variant of the traveling salesman problem, aiming to determine an optimal path that maximizes the collected points of interest (POIs) scores while minimizing travel time and cost, subject to travel…

Artificial Intelligence · Computer Science 2025-06-16 Ziyu Zhang , Peilan Xu , Yuetong Sun , Yuhui Shi , Wenjian Luo

We study real-time routing policies in smart transit systems, where the platform has a combination of cars and high-capacity vehicles (e.g., buses or shuttles) and seeks to serve a set of incoming trip requests. The platform can use its…

Optimization and Control · Mathematics 2021-03-22 Siddhartha Banerjee , Chamsi Hssaine , Noémie Périvier , Samitha Samaranayake

Parking pressure has been steadily increasing in cities as well as in university and corporate campuses. To relieve this pressure, this paper studies a car-pooling platform that would match riders and drivers, while guaranteeing a ride back…

Optimization and Control · Mathematics 2019-09-17 Mohd Hafiz Hasan , Pascal Van Hentenryck , Antoine Legrain

Aiming at solving the problem that the moving route is complicated and the scheduling is difficult in the routing buffer of the bus in the manufacturing workshop, a routing buffer mathematical programming model for bus manufacturing…

Data Structures and Algorithms · Computer Science 2019-03-26 Zhonghua Han , Jingyuan Zhang , Xiaoting Dong , Yuanwei Qi

This study aims to propose an approach for spatiotemporal integration of bus transit, which enables users to change bus lines by paying a single fare. This could increase bus transit efficiency and, consequently, help to make this mode of…

Social and Information Networks · Computer Science 2024-02-29 Júlio Borges , Altieris M. Peixoto , Thiago H. Silva , Anelise Munaretto , Ricardo Luders

Public transport is vital for meeting people's mobility needs. Providers need to plan their services well to offer high quality and low cost. Optimized planning can benefit providers, customers, and municipalities. The planning process for…

Optimization and Control · Mathematics 2023-10-23 Lucas Mertens , Lena-Antonia Wolbeck , David Rößler , Lin Xie , Natalia Kliewer

We consider the school bus scheduling problem (SBSP) which simultaneously determines school bell times and route schedules. Often, the goal of the SBSP is to minimize the number of buses required by a school district. We extend a…

Optimization and Control · Mathematics 2019-04-16 Dipayan Banerjee , Karen Smilowitz

To meet sustainability goals and regulatory requirements, transit agencies worldwide are planning partial and full transitions to electric bus fleets. This paper presents a comprehensive and computationally efficient multi-period…

Optimization and Control · Mathematics 2025-12-29 Robin Legault , Filipe Cabral , Xu Andy Sun

Platooning of vehicles is a promising approach for reducing fuel consumption, increasing vehicle safety, and using road space more efficiently. We consider the important but difficult problem of assigning optimal routes and departure…

Optimization and Control · Mathematics 2021-08-19 Fengqiao Luo , Jeffrey Larson
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