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In the Stackelberg Network Pricing problem, one has to assign tariffs to a certain subset of the arcs of a given transportation network. The aim is to maximize the amount paid by the user of the network, knowing that the user will take a…

Data Structures and Algorithms · Computer Science 2011-03-07 Gwenaël Joret

Tolling, or congestion pricing, has emerged as an effective tool for preventing gridlock in traffic systems. However, tolls are currently mostly designed on route-based traffic assignment models (TAM), which may be unrealistic and…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Chih-Yuan Chiu , Shankar Sastry

We consider the Stackelberg shortest-path pricing problem, which is defined as follows. Given a graph G with fixed-cost and pricable edges and two distinct vertices s and t, we may assign prices to the pricable edges. Based on the…

Data Structures and Algorithms · Computer Science 2009-10-02 Patrick Briest , Sanjeev Khanna

Congestion pricing policies have emerged as promising traffic management tools to alleviate traffic congestion caused by travelers' selfish routing behaviors. The core principle behind deploying tolls is to impose monetary costs on…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Chih-Yuan Chiu

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

Data Structures and Algorithms · Computer Science 2015-11-24 Ger Yang , Evdokia Nikolova

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

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

Stackelberg Pricing Games is a two-level combinatorial pricing problem studied in the Economics, Operation Research, and Computer Science communities. In this paper, we consider the decade-old shortest path version of this problem which is…

Computer Science and Game Theory · Computer Science 2009-10-05 Parinya Chalermsook , Bundit Laekhanukit , Danupon Nanongkai

Prize-Collecting TSP is a variant of the traveling salesperson problem where one may drop vertices from the tour at the cost of vertex-dependent penalties. The quality of a solution is then measured by adding the length of the tour and the…

Data Structures and Algorithms · Computer Science 2025-01-14 Jannis Blauth , Nathan Klein , Martin Nägele

We study the network pricing problem where the leader maximizes their revenue by determining the optimal amounts of tolls to charge on a set of arcs, under the assumption that the followers will react rationally and choose the shortest…

Optimization and Control · Mathematics 2025-04-01 Quang Minh Bui , Bernard Gendron , Margarida Carvalho

In this work, we consider the problem of minimising the social cost in atomic congestion games. For this problem, we provide tight computational lower bounds along with taxation mechanisms yielding polynomial time algorithms with optimal…

Computer Science and Game Theory · Computer Science 2022-05-23 Dario Paccagnan , Martin Gairing

In routing games, agents pick their routes through a network to minimize their own delay. A primary concern for the network designer in routing games is the average agent delay at equilibrium. A number of methods to control this average…

Computer Science and Game Theory · Computer Science 2013-11-12 Umang Bhaskar , Katrina Ligett , Leonard J. Schulman

We consider the problem of optimally compressing and caching data across a communication network. Given the data generated at edge nodes and a routing path, our goal is to determine the optimal data compression ratios and caching decisions…

Networking and Internet Architecture · Computer Science 2018-01-25 Jian Li , Faheem Zafari , Don Towsley , Kin K. Leung , Ananthram Swami

Designing fare systems for public transportation networks is a challenging task. A popular approach is to partition the network into fare zones (``zoning'') and fix journey prices depending on the number of traversed zones (``pricing''). In…

Data Structures and Algorithms · Computer Science 2026-04-27 Martin Hoefer , Lennart Kauther , Philipp Pabst , Britta Peis , Khai Van Tran

This paper presents a matching mechanism for assigning drivers to routes where the drivers pay a toll for the marginal delay they impose on other drivers. The simple matching mechanism is derived from the RANKING algorithm for online…

Computer Science and Game Theory · Computer Science 2020-02-14 J Ceasar Aguma , Amelia C. Regan

We study a problem of fundamental importance to ICNs, namely, minimizing routing costs by jointly optimizing caching and routing decisions over an arbitrary network topology. We consider both source routing and hop-by-hop routing settings.…

Networking and Internet Architecture · Computer Science 2017-08-22 Stratis Ioannidis , Edmund Yeh

In the \emph{tollbooth problem}, we are given a tree $\bT=(V,E)$ with $n$ edges, and a set of $m$ customers, each of whom is interested in purchasing a path on the tree. Each customer has a fixed budget, and the objective is to price the…

Data Structures and Algorithms · Computer Science 2015-05-13 Khaled Elbassioni , Rajiv Raman , Saurabh Ray , Rene Sitters

An instance of the tollbooth problem consists of an undirected network and a collection of single-minded customers, each of which is interested in purchasing a fixed path subject to an individual budget constraint. The objective is to…

Data Structures and Algorithms · Computer Science 2010-02-11 Iftah Gamzu , Danny Segev

Given facilities with capacities and clients with penalties and demands, the transportation problem with market choice consists in finding the minimum-cost way to partition the clients into unserved clients, paying the penalties, and into…

Data Structures and Algorithms · Computer Science 2016-08-23 Karen Aardal , Pierre Le Bodic

The network pricing problem (NPP) is a bilevel problem, where the leader optimizes its revenue by deciding on the prices of certain arcs in a graph, while expecting the followers (also known as the commodities) to choose a shortest path…

Optimization and Control · Mathematics 2024-01-31 Quang Minh Bui , Margarida Carvalho , José Neto
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