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104 Results Found

  • Article
  • Open Access
5 Citations
9,245 Views
33 Pages

Solving the Examination Timetabling Problem in GPUs

  • Vasileios Kolonias,
  • George Goulas,
  • Christos Gogos,
  • Panayiotis Alefragis and
  • Efthymios Housos

3 July 2014

The examination timetabling problem belongs to the class of combinatorial optimization problems and is of great importance for every University. In this paper, a hybrid evolutionary algorithm running on a GPU is employed to solve the examination time...

(This article belongs to the Special Issue Bio-inspired Algorithms for Combinatorial Problems)
  • Article
  • Open Access
7 Citations
5,398 Views
19 Pages

Solving a University Course Timetabling Problem Based on AACSB Policies

  • Nancy M. Arratia-Martinez,
  • Paulina A. Avila-Torres and
  • Juana C. Trujillo-Reyes

6 October 2021

The purpose of this research is to solve the university course timetabling problem (UCTP) that consists of designing a schedule of the courses to be offered in one academic period based on students’ demand, faculty composition and institutional const...

(This article belongs to the Special Issue Mathematical Methods for Operations Research Problems)
  • Article
  • Open Access
24 Citations
9,105 Views
28 Pages

The paper investigates a partial exam assignment approach for solving the examination timetabling problem. Current approaches involve scheduling all of the exams into time slots and rooms (i.e., produce an initial solution) and then continuing by imp...

(This article belongs to the Section Computational Engineering)
  • Article
  • Open Access
4 Citations
3,231 Views
23 Pages

An Effective Local Particle Swarm Optimization-Based Algorithm for Solving the School Timetabling Problem

  • Ioannis X. Tassopoulos,
  • Christina A. Iliopoulou,
  • Iosif V. Katsaragakis and
  • Grigorios N. Beligiannis

4 June 2023

This paper deals with the school timetabling problem. The problem was formulated as encountered in a typical Greek high school. A local version of the particle swarm optimization algorithm was developed and applied to the problem at hand. Results on...

(This article belongs to the Collection Feature Paper in Metaheuristic Algorithms and Applications)
  • Article
  • Open Access
11 Citations
5,819 Views
20 Pages

A Comparative Study of Modern Heuristics on the School Timetabling Problem

  • Iosif V. Katsaragakis,
  • Ioannis X. Tassopoulos and
  • Grigorios N. Beligiannis

28 August 2015

In this contribution a comparative study of modern heuristics on the school timetabling problem is presented. More precisely, we investigate the application of two population-based algorithms, namely a Particle Swarm Optimization (PSO) and an Artific...

  • Article
  • Open Access
12 Citations
4,394 Views
29 Pages

Modeling and Solving a Latin American University Course Timetabling Problem Instance

  • Oscar Chávez-Bosquez,
  • José Hernández-Torruco,
  • Betania Hernández-Ocaña and
  • Juana Canul-Reich

19 October 2020

Timetabling problem is a complex task that is performed by a number of institutions worldwide, which has been usually addressed as an optimization problem where every approach considers the particular constraints of each institution under considerati...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
14 Citations
4,403 Views
30 Pages

Metaheuristic with Cooperative Processes for the University Course Timetabling Problem

  • Martín H. Cruz-Rosales,
  • Marco Antonio Cruz-Chávez,
  • Federico Alonso-Pecina,
  • Jesus del C. Peralta-Abarca,
  • Erika Yesenia Ávila-Melgar,
  • Beatriz Martínez-Bahena and
  • Juana Enríquez-Urbano

6 January 2022

This work presents a metaheuristic with distributed processing that finds solutions for an optimization model of the university course timetabling problem, where collective communication and point-to-point communication are applied, which are used to...

(This article belongs to the Special Issue Evolutionary Algorithms and Large-Scale Real-World Applications)
  • Article
  • Open Access
5 Citations
3,244 Views
12 Pages

13 October 2020

University course timetabling is a complex and time-consuming duty that every educational institution faces regularly. It consists of scheduling a set of lectures in predefined time slots so as to avoid student conflicts, meet teacher and room availa...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
12 Citations
6,916 Views
19 Pages

26 December 2021

Although educational timetabling problems have been studied for decades, one instance of this, the school timetabling problem (STP), has not developed as quickly as examination timetabling and course timetabling problems due to its diversity and comp...

(This article belongs to the Special Issue Recent Advances in Multiple Criteria Decision Making Approaches)
  • Article
  • Open Access
6 Citations
4,840 Views
20 Pages

2 August 2019

With the rapid development of high-speed railway (HSR) systems, the increasing demand for passenger traffic has put forward higher requirements for HSR train timetabling problems (HSRTTPs). This paper establishes two mathematical optimisation models...

  • Review
  • Open Access
15 Citations
9,765 Views
27 Pages

From Integer Programming to Machine Learning: A Technical Review on Solving University Timetabling Problems

  • Xin Gu,
  • Muralee Krish,
  • Shaleeza Sohail,
  • Sweta Thakur,
  • Fariza Sabrina and
  • Zongwen Fan

Solving the university timetabling problem is crucial as it ensures efficient use of resources, minimises scheduling conflicts, and enhances overall productivity. This paper presents a comprehensive review of university timetabling problems using int...

(This article belongs to the Section Computational Social Science)
  • Article
  • Open Access
11 Citations
6,047 Views
38 Pages

An Exploration and Exploitation-Based Metaheuristic Approach for University Course Timetabling Problems

  • Rakesh P. Badoni,
  • Jayakrushna Sahoo,
  • Shwetabh Srivastava,
  • Mukesh Mann,
  • D. K. Gupta,
  • Swati Verma,
  • Predrag S. Stanimirović,
  • Lev A. Kazakovtsev and
  • Darjan Karabašević

25 July 2023

The university course timetable problem (UCTP) is known to be NP-hard, with solution complexity growing exponentially with the problem size. This paper introduces an algorithm that effectively tackles UCTPs by employing a combination of exploration a...

(This article belongs to the Special Issue Applied Mathematics and Information Sciences)
  • Article
  • Open Access
55 Citations
15,312 Views
18 Pages

19 April 2013

Course timetabling is a combinatorial optimization problem and has been confirmed to be an NP-complete problem. Course timetabling problems are different for different universities. The studied university course timetabling problem involves hard cons...

  • Article
  • Open Access
34 Citations
5,987 Views
19 Pages

7 September 2019

Reinforcement learning has potential in the area of intelligent transportation due to its generality and real-time feature. The Q-learning algorithm, which is an early proposed algorithm, has its own merits to solve the train timetable rescheduling (...

  • Proceeding Paper
  • Open Access
1,454 Views
8 Pages

Compound toys simulate the hierarchy of single inclusion. We propose classification of criteria and ranking methods for multi-criteria problems of analysis and decision making. The definitions of subjective and objective criteria are introduced. The...

(This article belongs to the Proceedings of 15th International Conference “Intelligent Systems” (INTELS’22))
  • Article
  • Open Access
7 Citations
3,270 Views
23 Pages

6 December 2023

Modern cities heavily rely on public transport systems to enhance citizen access to urban services and promote sustainability. To optimize public transport, intelligent computer-aided tools play a pivotal role in decision making. This article tackles...

  • Article
  • Open Access
13 Citations
5,914 Views
22 Pages

26 February 2021

Compared with other modes of transportation, a high-speed railway has energy saving advantages; it is environmentally friendly, safe, and convenient for large capacity transportation between cities. With the expansion of the high-speed railway networ...

(This article belongs to the Collection Sustainable Rail and Metro Systems)
  • Feature Paper
  • Article
  • Open Access
15 Citations
3,827 Views
27 Pages

2 August 2021

This article addresses timetable synchronization in public transportation, an important problem in modern smart cities, in order to guarantee a proper quality of service to citizens. Two variants of the bus timetabling synchronization problem conside...

(This article belongs to the Special Issue CITIES: Energetic Efficiency, Sustainability; Infrastructures, Energy and the Environment; Mobility and IoT; Governance and Citizenship)
  • Article
  • Open Access
10 Citations
3,014 Views
21 Pages

Travel-Energy-Based Timetable Optimization in Urban Subway Systems

  • Jian Li,
  • Lu Zhang,
  • Bu Liu,
  • Ningning Shi,
  • Liang Li and
  • Haodong Yin

19 January 2023

Timetable optimization for urban subways is aimed at improving the transportation service. In congested subway systems, the effects of crowding at stations and inside the vehicles have not been properly addressed in timetabling. Moreover, it is diffi...

(This article belongs to the Special Issue Application of Big Data in Energy-Efficient Management of Rail Systems)
  • Article
  • Open Access
10 Citations
3,129 Views
14 Pages

13 February 2023

This paper proposes a timetable coordination method for transfer problems in a bus transit system. With a given bus network, a stochastic mixed-integer linear programming (MILP) model has been formulated to obtain coordinated bus timetables with the...

(This article belongs to the Special Issue Multi-Objective Optimization of Industrial Processes)
  • Article
  • Open Access
16 Citations
4,187 Views
29 Pages

A Scheduling Approach for the Combination Scheme and Train Timetable of a Heavy-Haul Railway

  • Hanxiao Zhou,
  • Leishan Zhou,
  • Bin Guo,
  • Zixi Bai,
  • Zeyu Wang and
  • Lu Yang

29 November 2021

Heavy-haul railway transport is a critical mode of regional bulk cargo transport. It dramatically improves the freight transport capacity of railway lines by combining several unit trains into one combined train. In order to improve the efficiency of...

(This article belongs to the Special Issue Development and Optimization of Mathematical Models for Operations Research)
  • Article
  • Open Access
2 Citations
3,864 Views
28 Pages

17 May 2019

Maximizing regenerative energy utilization is an important way to reduce substation energy consumption in subway systems. Timetable optimization and energy storage systems are two main ways to improve improve regenerative energy utilization, but they...

(This article belongs to the Special Issue Energy Storage and Management for Electric Vehicles)
  • Article
  • Open Access
988 Views
33 Pages

30 June 2025

Periodic train timetables provide passengers with easily accessible rail transport services. However, in networked railway operations, some long-distance cross-line trains have high operational priority and pose difficulties for scheduling local serv...

(This article belongs to the Special Issue Advances in Perception, Control and Optimization Methods in Intelligent Transportation Systems)
  • Article
  • Open Access
11 Citations
2,819 Views
24 Pages

A Two-Level Fuzzy Multi-Objective Design of ATO Driving Commands for Energy-Efficient Operation of Metropolitan Railway Lines

  • Gonzalo Sánchez-Contreras,
  • Adrián Fernández-Rodríguez,
  • Antonio Fernández-Cardador and
  • Asunción P. Cucala

7 June 2023

Policies for reducing CO2 and other GHG emissions have motivated an increase in electrification in metropolitan areas, mandating reductions in energy consumption. Metro systems are keystone contributors to the sustainability of cities; they can reduc...

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
4 Citations
3,367 Views
24 Pages

13 December 2022

Shuttle bus connection is a valid technique to handle unplanned problems and promote sustainable transportation. The study describes tools that facilitate the shuttle bus timetable adjustment responding to a disturbance resulting from behind-schedule...

(This article belongs to the Collection Sustainable Public Transport in Urban Areas – Optimization, Management and Development)
  • Article
  • Open Access
19 Citations
7,178 Views
20 Pages

Determining the best timetable for vehicles in a public transportation (PT) network is a complex problem, especially because it is just necessary to consider the requirements and satisfaction of passengers as the requirements of transportation compan...

(This article belongs to the Special Issue Advances in Public Transport Platform for the Development of Sustainability Cities)
  • Article
  • Open Access
7 Citations
2,106 Views
24 Pages

Energy-Efficient Optimization Method for Timetable Adjusting in Urban Rail Transit

  • Lianbo Deng,
  • Shiyu Tang,
  • Ming Chen,
  • Ying Zhang,
  • Yuanyuan Tian and
  • Qun Chen

28 June 2025

For a given timetable in urban rail transit systems, this paper presents a practical energy efficiency optimization problem that carries out adjustments to the timetable, with the goal of energy saving. We propose two strategies to address this chall...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
5 Citations
2,539 Views
19 Pages

30 October 2023

In light of reducing train operation energy consumption while maintaining the passenger service level for creating sustainable urban rail transit systems, we address a non-parallel train timetabling problem considering regenerative braking energy uti...

(This article belongs to the Special Issue Theoretical and Computational Research in Various Scheduling Models, 2nd Edition)
  • Article
  • Open Access
15 Citations
5,718 Views
34 Pages

Demand-Oriented Train Timetabling Integrated with Passenger Train-Booking Decisions

  • Wenliang Zhou,
  • Wenzhuang Fan,
  • Xiaorong You and
  • Lianbo Deng

9 September 2019

In recent years, with the global energy shortage and severe environmental deterioration, railway transport has begun to attract great interest as a green transportation mode. One of the vital means to realize social sustainable development is to impr...

(This article belongs to the Collection Sustainable Rail and Metro Systems)
  • Article
  • Open Access
8 Citations
2,905 Views
14 Pages

12 October 2020

Transfer synchronization is an important issue in timetable scheduling for an urban rail transit system, especially a cross-platform transfer. In this paper, we aim to optimize the performance of transfer throughout the daily operation of an urban ra...

  • Article
  • Open Access
9 Citations
3,937 Views
25 Pages

Optimizing Fleet Structure for Autonomous Electric Buses: A Route-Based Analysis in Aachen, Germany

  • Hubert Maximilian Sistig,
  • Philipp Sinhuber,
  • Matthias Rogge and
  • Dirk Uwe Sauer

14 May 2024

Intelligent transportation systems enhance the potential for sustainable, user-friendly, and efficient transport. By eliminating driver costs, autonomous buses facilitate the redesign of networks, timetables, and fleet structure in a cost-effective m...

(This article belongs to the Special Issue Autonomous Systems and Intelligent Transportation Systems)
  • Article
  • Open Access
2 Citations
660 Views
30 Pages

9 April 2026

High-speed railway corridors operating under dense traffic conditions often face capacity limitations and operational conflicts caused by minimum headway constraints and heterogeneous train services. Differences in running times and stopping patterns...

(This article belongs to the Section Transportation and Future Mobility)
  • Review
  • Open Access
3 Citations
2,661 Views
21 Pages

A Review of Battery Electric Public Transport Timetabling and Scheduling: A 10 Year Retrospective and New Developments

  • Yaoyao Wang,
  • Shun Zhang,
  • Liang Liu,
  • Ping Gong,
  • Weike Lu,
  • Fuwei Wu,
  • Jinggang Gu,
  • Yuxuan Li and
  • Zhichao Cao

Battery electric vehicles (BEVs) have emerged as a cornerstone of sustainable transportation systems, driving a fundamental transformation in public transport (PT) operations over the past decade. The unique characteristics of BEVs, including range l...

(This article belongs to the Section Electrical and Autonomous Vehicles)
  • Article
  • Open Access
20 Citations
5,865 Views
34 Pages

5 February 2020

To avoid conflicts among trains at stations and provide passengers with a periodic train timetable to improve service level, this paper mainly focuses on the problem of multi-periodic train timetabling and routing by optimizing the routes of trains a...

(This article belongs to the Special Issue Sustainable Railway System)
  • Article
  • Open Access
1 Citations
2,297 Views
30 Pages

18 March 2025

High-speed railways (HSRs), with their advantages of safety, energy conservation, and convenience, are increasingly becoming the preferred mode of transportation. Railway operators schedule full-schedule timetables to operate as many trains and serve...

(This article belongs to the Special Issue Sustainable Transport Planning: Reducing Emissions for a Greener Future)
  • Article
  • Open Access
6 Citations
2,485 Views
37 Pages

18 July 2024

Line planning and timetabling play important roles in the design of urban rail transportation services. Due to the complexity of the integrated optimization of entire transportation plans, previous studies have generally considered line planning and...

  • Article
  • Open Access
16 Citations
6,056 Views
20 Pages

29 March 2017

How to reduce the energy consumption of metro trains by optimizing both the timetable and control strategy is a major focus. Due to the complexity and difficulty of the combinatorial operation problem, the commonly-used method to optimize the train o...

  • Article
  • Open Access
20 Citations
3,537 Views
23 Pages

A GRASP Approach for Solving Large-Scale Electric Bus Scheduling Problems

  • Raka Jovanovic,
  • Islam Safak Bayram,
  • Sertac Bayhan and
  • Stefan Voß

13 October 2021

Electrifying public bus transportation is a critical step in reaching net-zero goals. In this paper, the focus is on the problem of optimal scheduling of an electric bus (EB) fleet to cover a public transport timetable. The problem is modelled using...

(This article belongs to the Collection Invited Papers on Electric Vehicles)
  • Article
  • Open Access
4 Citations
2,478 Views
26 Pages

11 June 2023

Out-of-gauge trains are trains with loading freight that exceeds the loading limitation border. Considering collision avoidance, the out-of-gauge trains have speed restriction of their own, and the trains running on the parallel track. Therefore, it...

(This article belongs to the Special Issue Recent Advances of Mathematics in Industrial Engineering)
  • Article
  • Open Access
328 Views
32 Pages

9 September 2026

Urban rail transit systems face a pronounced contradiction between escalating traction energy consumption and passenger service quality under the carbon peaking and carbon neutrality goals. This study proposes a hybrid optimization framework offline...

(This article belongs to the Section A: Sustainable Energy)
  • Article
  • Open Access
15 Citations
16,410 Views
25 Pages

28 December 2019

This paper focuses on optimizing the schedule of trains on railway networks composed of busy complex stations. A mathematical formulation of this problem is provided as a Mixed Integer Linear Program (MILP). However, the creation of an optimal new ti...

(This article belongs to the Special Issue Sustainable High Volume Road and Rail Transport in Developed and Developing Countries)
  • Article
  • Open Access
7 Citations
3,511 Views
17 Pages

4 September 2022

The main aim of this study was to develop a method for assessing the level of robustness of timetabled transport performance in rail transport. When the railway lines are supplied by DC networks, lower voltages are observed, and consequently, current...

(This article belongs to the Special Issue Transportation Systems Modeling, Simulation and Analysis with Reference to Energy Supplying)
  • Article
  • Open Access
9 Citations
3,551 Views
19 Pages

6 August 2021

This article deals with the new challenges facing modernising railways in Poland. We look at the problem of the efficiency of the power supply system (3 kV DC) used in the context of the increasing use of electric vehicles, which have a higher demand...

(This article belongs to the Special Issue Power Quality in Electrified Transportation Systems)
  • Article
  • Open Access
9 Citations
5,796 Views
18 Pages

5 December 2022

We focus on fuzzy graphs with crisp vertex sets and fuzzy edge sets. This paper introduces a new concept of chromatic number (crisp) for a fuzzy graph G˜(V,E˜). Moreover, we define the operations of cap, join, difference, ring sum, direct...

(This article belongs to the Special Issue Soft Computing with Applications to Decision Making and Data Mining)
  • Article
  • Open Access
48 Citations
9,264 Views
25 Pages

13 November 2014

Metro systems are one of the most important transportation systems in people’s lives. Due to the huge amount of energy it consumes every day, highly-efficient operation of a metro system will lead to significant energy savings. In this paper, a new i...

  • Article
  • Open Access
10 Citations
5,962 Views
26 Pages

26 June 2024

As transit authorities increasingly adopt electric buses (EBs) to mitigate air quality concerns and greenhouse gas emissions, new challenges arise in bus scheduling and timetabling. Unlike traditional buses, EBs face operational obstacles due to thei...

(This article belongs to the Section E: Electric Vehicles)
  • Article
  • Open Access
37 Citations
9,354 Views
16 Pages

A Compromise Programming for Multi-Objective Task Assignment Problem

  • Son Tung Ngo,
  • Jafreezal Jaafar,
  • Izzatdin Abdul Aziz and
  • Bui Ngoc Anh

25 January 2021

The problem of scheduling is an area that has attracted a lot of attention from researchers for many years. Its goal is to optimize resources in the system. The lecturer’s assigning task is an example of the timetabling problem, a class of scheduling...

  • Article
  • Open Access
1 Citations
765 Views
30 Pages

6 April 2026

With the rapid growth of passenger demand, the imbalance between transport capacity and passenger flow has become increasingly severe. Existing studies seldom consider the impacts induced by passenger demand uncertainty under a flexible train composi...

  • Article
  • Open Access
19 Citations
4,331 Views
32 Pages

25 November 2021

In order to improve train operation planning from the two perspectives of enterprise operating costs and passengers’ travel time, this paper proposes an integrated optimization model of three sub-problems, namely line planning, timetabling and...

(This article belongs to the Collection Sustainability in Urban Transportation Planning)
  • Article
  • Open Access
6 Citations
2,320 Views
27 Pages

12 October 2023

The cross-line operation mode, based on interoperability technology, is becoming increasingly common in urban rail transits (URTs). Compared to trains running on a single line, cross-line trains can greatly facilitate transfer passengers. Taking the...

(This article belongs to the Section Transportation and Future Mobility)

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