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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

Safely serving the school transportation demand with the minimum number of buses is one of the highest financial goals of school transportation directors. To achieve that objective, a good and efficient way to solve the routing and…

Optimization and Control · Mathematics 2018-04-11 Zhongxiang Wang , Ali Shafahi , Ali Haghani

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

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

This paper presents a model for a vehicle routing problem in which customer demands are stochastic and vehicles are divided into compartments. The problem is motivated by the needs of certain agricultural cooperatives that produce various…

Optimization and Control · Mathematics 2024-10-24 Juan Carlos Gonçalves-Dosantos , Laura Davila-Pena , Balbina Casas-Méndez

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

The Single-Source Shortest Path (SSSP) problem is well-known for the challenges in developing fast, practical, and work-efficient parallel algorithms. This work introduces a novel shortest path search method. It allows paths with different…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-25 Huashan Yu , Xiaolin Wang , Yingwei Luo

In this paper, we address two optimisation problems arising in the context of city logistics and two-level transportation systems. The two-echelon vehicle routing problem and the two-echelon location routing problem seek to produce vehicle…

Data Structures and Algorithms · Computer Science 2016-10-05 Ulrich Breunig , Verena Schmid , Richard F. Hartl , Thibaut Vidal

Vehicle Routing Problem is a well-known problem in logistics and transportation, and the variety of such problems is explained by the fact that it occurs in many real-life situations. It is an NP-hard combinatorial optimization problem and…

Artificial Intelligence · Computer Science 2016-09-30 Ivan S. Grechikhin

The Rank Pricing Problem (RPP) is a challenging bilevel optimization problem with binary variables whose objective is to determine the optimal pricing strategy for a set of products to maximize the total benefit, given that customer…

Optimization and Control · Mathematics 2025-02-27 Asunción Jiménez-Cordero , Salvador Pineda , Juan Miguel Morales

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

This work addresses the uniform parallel machine scheduling problem within an optimistic bilevel optimization framework. The leader seeks to minimize the weighted number of tardy jobs, while the follower aims to minimize the total…

Optimization and Control · Mathematics 2026-05-20 Quentin Schau , Federico Della Croce , Olivier Ploton , Vincent t'Kindt

Routing problems such as Hamiltonian Path Problem (HPP), seeks a path to visit all the vertices in a graph while minimizing the path cost. This paper studies a variant, HPP with Probabilistic Terminals (HPP-PT), where each vertex has a…

Robotics · Computer Science 2026-01-21 Yunpeng Lyu , Chao Cao , Ji Zhang , Howie Choset , Zhongqiang Ren

In logistic applications that require the pickup and delivery of items, route optimization problems can be modeled as precedence constrained traveling salesperson problems. The combinatorial nature of this problem restricts the application…

Combinatorics · Mathematics 2024-08-23 Mithun Goutham , Stephanie Stockar

Applications such as megaregional planning require efficient methods for solving traffic assignment problems (TAPs) on large-scale networks. We propose a decomposition heuristic that generates approximate TAP solutions by partitioning the…

Optimization and Control · Mathematics 2022-06-28 Venktesh Pandey , Priyadarshan N. Patil

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

We address the bin packing problem (BPP), which aims to maximize bin utilization when packing a variety of items. The offline problem, where the complete information about the item set and their sizes is known in advance, is proven to be…

Robotics · Computer Science 2025-10-16 Beomjoon Lee , Changjoo Nam

We study constant-factor approximation algorithms for the Bin Packing Problem with Setups (BPPS). First, we show that adaptations of classical BPP heuristics can have arbitrarily poor worst-case performance on BPPS instances. Then, we…

Optimization and Control · Mathematics 2026-01-01 Roberto Baldacci , Fabio Ciccarelli , Stefano Coniglio , Valerio Dose , Fabio Furini

This study addresses the rebalancing of empty modular transit pods between scheduled service trips in fixed-route bus systems. A two-stage hierarchical optimization framework is proposed. The first stage determines the minimum fleet size…

Optimization and Control · Mathematics 2025-08-27 Tina Radvand , Alireza Talebpour , Yanfeng Ouyang

The subpath planning problem is a branch of the path planning problem, which has widespread applications in automated manufacturing process as well as vehicle and robot navigation. This problem is to find the shortest path or tour subject…

Robotics · Computer Science 2016-03-22 Masoud Safilian , S. Mehdi Tashakkori , Sepehr Eghbali , Aliakbar Safilian
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