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The two-echelon inventory-routing problem (2E-IRP) addresses the coordination of inventory management and freight transportation throughout a two-echelon supply network. The latter consists of geographically widespread customers whose…

Optimization and Control · Mathematics 2022-06-29 Sara Charaf , Duygu Taş , Simme Douwe Flapper , Tom van Woensel

The problem of efficiently delivering data within networks is very important nowadays, especially in the context of the large volumes of data which are being produced each year and of the increased data access needs of the users. Efficient…

Data Structures and Algorithms · Computer Science 2009-12-07 Mugurel Ionut Andreica , Nicolae Tapus

We consider the classical mathematical economics problem of {\em Bayesian optimal mechanism design} where a principal aims to optimize expected revenue when allocating resources to self-interested agents with preferences drawn from a known…

Computer Science and Game Theory · Computer Science 2010-01-15 Shuchi Chawla , Jason Hartline , David Malec , Balasubramanian Sivan

We consider a bilevel program involving a linear lower level problem with left-hand-side perturbation. We then consider the Karush-Kuhn-Tucker reformulation of the problem and subsequently build a tractable optimization problem with linear…

Optimization and Control · Mathematics 2020-10-23 Floriane Mefo Kue , Thorsten Raasch , Alain B. Zemkoho

Among the several topological properties of complex networks, the shortest path represents a particularly important characteristic because of its potential impact not only on other topological properties, but mainly for its influence on…

Social and Information Networks · Computer Science 2020-03-30 Guilherme S. Domingues , Cesar H. Comin , Luciano da F. Costa

Correctly estimating how demand respond to prices is fundamental for airlines willing to optimize their pricing policy. Under some conditions, these policies, while aiming at maximizing short term revenue, can present too little price…

Machine Learning · Computer Science 2022-03-22 Giovanni Gatti Pinheiro , Michael Defoin-Platel , Jean-Charles Regin

Payment channels are the most prominent solution to the blockchain scalability problem. We introduce the problem of network design with fees for payment channels from the perspective of a Payment Service Provider (PSP). Given a set of…

Data Structures and Algorithms · Computer Science 2018-10-18 Georgia Avarikioti , Gerrit Janssen , Yuyi Wang , Roger Wattenhofer

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

This paper considers the problem of finding a quickest path between two points in the Euclidean plane in the presence of a transportation network. A transportation network consists of a planar network where each road (edge) has an…

Computational Geometry · Computer Science 2015-03-17 Radwa El Shawi , Joachim Gudmundsson , Christos Levcopoulos

Given the efficiency and equity concerns of a cordon toll, this paper proposes a few alternative distance-dependent area-based pricing models for a large-scale dynamic traffic network. We use the Network Fundamental Diagram (NFD) to monitor…

Systems and Control · Computer Science 2020-09-24 Ziyuan Gu , Sajjad Shafiei , Zhiyuan Liu , Meead Saberi

This paper studies the network optimization problem about which a group of agents cooperates to minimize a global function under practical constraints of finite bandwidth communication. Particularly, we propose an adaptive encoding-decoding…

Optimization and Control · Mathematics 2021-11-17 Ziqin Chen , Shu Liang , Li Li , Shuming Cheng

Modeling traffic distribution and extracting optimal flows in multilayer networks is of utmost importance to design efficient multi-modal network infrastructures. Recent results based on optimal transport theory provide powerful and…

Physics and Society · Physics 2022-05-24 Abdullahi Adinoyi Ibrahim , Alessandro Lonardi , Caterina De Bacco

This paper addresses the problem of finding multiple near-optimal, spatially-dissimilar paths that can be considered as alternatives in the decision making process, for finding optimal corridors in which to construct a new road. We further…

Data Structures and Algorithms · Computer Science 2015-08-14 Yasha Pushak , Warren Hare , Yves Lucet

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. In order to address this concern, in this paper, we build an optimization problem which…

Physics and Society · Physics 2017-02-23 Li Rui , Xia Yongxiang , Tse K Chi

We consider an online version of the well-studied network utility maximization problem, where users arrive one by one and an operator makes irrevocable decisions for each user without knowing the details of future arrivals. We propose a…

Data Structures and Algorithms · Computer Science 2021-01-27 Ying Cao , Bo Sun , Danny H. K. Tsang

This paper studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original complex network, we construct a quotient graph with less number of vertices, where the edge weights are…

Optimization and Control · Mathematics 2020-03-10 Xiaodong Cheng , Lanlin Yu , Dingchao Ren , Jacquelien M. A. Scherpen

In this letter, we propose a new routing strategy to improve the transportation efficiency on complex networks. Instead of using the routing strategy for shortest path, we give a generalized routing algorithm to find the so-called {\it…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gang Yan , Tao Zhou , Bo Hu , Zhong-Qian Fu , Bing-Hong Wang

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

The quadratic shortest path problem is the problem of finding a path in a directed graph such that the sum of interaction costs over all pairs of arcs on the path is minimized. We derive several semidefinite programming relaxations for the…

Optimization and Control · Mathematics 2017-08-23 Hao Hu , Renata Sotirov

We consider a profit maximization problem in an urban mobility on-demand service, of which the operator owns a fleet, provides both exclusive and shared trip services, and dynamically determines prices of offers. With knowledge of the…

Optimization and Control · Mathematics 2018-02-13 Han Qiu , Ruimin Li , Jinhua Zhao