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We consider an optimization problem in a given region $Q$ where an agent has to decide the price $p(x)$ of a product for every $x\in Q$. The customers know the pricing pattern $p$ and may shop at any place $y$, paying the cost $p(y)$ and…

Optimization and Control · Mathematics 2013-12-24 Giuseppe Buttazzo , Guillaume Carlier

The topology-aware Massively Parallel Computation (MPC) model is proposed and studied recently, which enhances the classical MPC model by the awareness of network topology. The work of Hu et al. on topology-aware MPC model considers only…

Computational Complexity · Computer Science 2023-06-21 Hengzhao Ma , Jianzhong Li

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

With the rapid growth of Internet services, recommendation systems play a central role in delivering personalized content. Faced with massive user requests and complex model architectures, the key challenge for real-time recommendation…

Information Retrieval · Computer Science 2025-08-14 Junli Shao , Jing Dong , Dingzhou Wang , Kowei Shih , Dannier Li , Chengrui Zhou

Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

Machine Learning · Computer Science 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

We propose a self-organization scheme for cost-effective and load-balanced routing in multi-hop networks. To avoid overloading nodes that provide favourable routing conditions, we assign each node with a cost function that penalizes high…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-18 Mihai-Alin Badiu , David Saad , Justin P. Coon

Consider a general path planning problem of a robot on a graph with edge costs, and where each node has a Boolean value of success or failure (with respect to some task) with a given probability. The objective is to plan a path for the…

Robotics · Computer Science 2018-08-22 Arjun Muralidharan , Yasamin Mostofi

Packet networks need to maintain state in the form of forwarding tables at each switch. The cost of this state increases as networks support ever more sophisticated per-flow routing, traffic engineering, and service chaining. Per-flow or…

Networking and Internet Architecture · Computer Science 2017-06-23 Adiseshu Hari , Urs Niesen , Gordon Wilfong

The team formation and routing problem is a challenging optimization problem with several real-world applications in fields such as airport, healthcare, and maintenance operations. To solve this problem, exact solution methods based on…

Machine Learning · Computer Science 2025-09-22 Giacomo Dall'Olio , Rainer Kolisch , Yaoxin Wu

A wide range of price-based congestion management schemes were proposed in the literature ranging from marginal cost road pricing to trip based multimodal pricing. The underlying models were formulated under different theoretical…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Ennio Cascetta , Marcello Montanino

ISPs are increasingly selling "tiered" contracts, which offer Internet connectivity to wholesale customers in bundles, at rates based on the cost of the links that the traffic in the bundle is traversing. Although providers have already…

Networking and Internet Architecture · Computer Science 2011-12-19 Vytautas Valancius , Cristian Lumezanu , Nick Feamster , Ramesh Johari , Vijay V. Vazirani

Tolling in traffic networks offers a popular measure to minimize overall congestion. Existing toll designs primarily focus on congestion in route-based traffic assignment models (TAMs), in which travelers make a single route selection from…

Systems and Control · Electrical Eng. & Systems 2023-10-26 Chih-Yuan Chiu , Chinmay Maheshwari , Pan-Yang Su , Shankar Sastry

We introduce a new bilevel version of the classic shortest path problem and completely characterize its computational complexity with respect to several problem variants. In our problem, the leader and the follower each control a subset of…

Data Structures and Algorithms · Computer Science 2026-02-19 Dorothee Henke , Lasse Wulf

The Bilevel Optimization Problem is a hierarchical optimization problem with two agents, a leader and a follower. The leader make their own decisions first, and the followers make the best choices accordingly. The leader knows the…

Artificial Intelligence · Computer Science 2023-12-12 Sunhyeon Kwon , Hwayong Choi , Sungsoo Park

We propose two deep neural network-based methods for solving semi-martingale optimal transport problems. The first method is based on a relaxation/penalization of the terminal constraint, and is solved using deep neural networks. The second…

Optimization and Control · Mathematics 2021-03-08 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning

Power packet dispatching system has been proposed for smart power management in the form of discretized packet. In this paper, we discuss the routing optimization of power packets on the network of power routers. We propose a cost metric…

Optimization and Control · Mathematics 2021-06-08 Shiu Mochiyama , Kazuhiro Koto , Takashi Hikihara

Network models provide an efficient way to represent many real life problems mathematically. In the last few decades, the field of network optimization has witnessed an upsurge of interest among researchers and practitioners. The network…

Artificial Intelligence · Computer Science 2021-03-16 Saibal Majumder

This paper investigates the scheduling problem of a fleet of electric vehicles, providing mobility as a service to a set of time-specified customers, where the operator needs to solve the routing and charging problem jointly for each EV.…

Optimization and Control · Mathematics 2022-05-27 Canqi Yao , Shibo Chen , Mauro Salazar , Zaiyue Yang

With rapid population growth and urban development, traffic congestion has become an inescapable issue, especially in large cities. Many congestion reduction strategies have been proposed in the past, ranging from roadway extension to…

Optimization and Control · Mathematics 2022-04-18 Ali Ghafelebashi , Meisam Razaviyayn , Maged Dessouky

Simulation-based optimization (SO or SBO) has become increasingly important to address challenging transportation network design problems. In this paper, we propose to solve two toll pricing problems with different levels of complexity…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Ziyuan Gu , Meead Saberi