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Ride-pooling, which accommodates multiple passenger requests in a single trip, has the potential to significantly increase fleet utilization in shared mobility platforms. The ride-pooling assignment problem finds optimal co-riders to…

Optimization and Control · Mathematics 2022-04-15 Qi Luo , Viswanath Nagarajan , Alexander Sundt , Yafeng Yin , John Vincent , Mehrdad Shahabi

The design of integrated mobility-on-demand services requires jointly considering the interactions between traveler choice behavior and operators' operation policies to design a financially sustainable pricing scheme. However, most existing…

General Economics · Economics 2020-06-09 Tai-Yu Ma , Sylvain Klein

The problem of online matching with stochastic rewards is a generalization of the online bipartite matching problem where each edge has a probability of success. When a match is made it succeeds with the probability of the corresponding…

Data Structures and Algorithms · Computer Science 2022-05-12 Vineet Goyal , Rajan Udwani

We study a natural combinatorial pricing problem for sequentially arriving buyers with equal budgets. Each buyer is interested in exactly one pair of items and purchases this pair if and only if, upon arrival, both items are still available…

Computer Science and Game Theory · Computer Science 2023-02-24 Christoph Dürr , Mathieu Mari , Ulrike Schmidt-Kraepelin

We consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. In this problem, we are given an undirected graph. Each edge is assigned a known, independent probability of existence and…

Data Structures and Algorithms · Computer Science 2020-10-19 Marek Adamczyk , Brian Brubach , Fabrizio Grandoni , Karthik A. Sankararaman , Aravind Srinivasan , Pan Xu

This paper studies the maximum cardinality matching problem in stochastically evolving graphs. We formally define the arrival-departure model with stochastic departures. There, a graph is sampled from a specific probability distribution and…

Data Structures and Algorithms · Computer Science 2020-05-19 Eleni C. Akrida , Argyrios Deligkas , George B. Mertzios , Paul G. Spirakis , Viktor Zamaraev

Optimizing shared vehicle systems (bike/scooter/car/ride-sharing) is more challenging compared to traditional resource allocation settings due to the presence of \emph{complex network externalities} -- changes in the demand/supply at any…

Computer Science and Game Theory · Computer Science 2021-05-12 Siddhartha Banerjee , Daniel Freund , Thodoris Lykouris

The matching problem plays a basic role in combinatorial optimization and in statistical mechanics. In its stochastic variants, optimization decisions have to be taken given only some probabilistic information about the instance. While the…

Statistical Mechanics · Physics 2013-09-03 Fabrizio Altarelli , Alfredo Braunstein , Abolfazl Ramezanpour , Riccardo Zecchina

Platforms matching spatially distributed supply to demand face a fundamental design choice: given a fixed total budget of service range, how should it be allocated across supply nodes ex ante, i.e. before supply and demand locations are…

Probability · Mathematics 2026-02-19 Taha Ameen , Flore Sentenac , Sophie H. Yu

This work proposes and studies the distributed resource allocation problem in asynchronous and stochastic settings. We consider a distributed system with multiple workers and a coordinating server with heterogeneous computation and…

Optimization and Control · Mathematics 2025-09-03 Qiang Li , Michal Yemini , Hoi-To Wai

This paper studies an important rate allocation problem that arises in many networked and distributed systems: steady-state traffic rate allocation from multiple sources to multiple service nodes when both (i) the access-path delay on each…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-04 Tamoghna Sarkar , Bhaskar Krishnamachari

Consider the problem of minimizing the expected value of a (possibly nonconvex) cost function parameterized by a random (vector) variable, when the expectation cannot be computed accurately (e.g., because the statistics of the random…

Multiagent Systems · Computer Science 2017-12-12 Yang Yang , Gesualdo Scutari , Daniel P. Palomar , Marius Pesavento

We consider "time-of-use" pricing as a technique for matching supply and demand of temporal resources with the goal of maximizing social welfare. Relevant examples include energy, computing resources on a cloud computing platform, and…

Computer Science and Game Theory · Computer Science 2017-04-11 Shuchi Chawla , Nikhil R. Devanur , Alexander E. Holroyd , Anna Karlin , James Martin , Balasubramanian Sivan

We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

Data Structures and Algorithms · Computer Science 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

The classic online stochastic matching problem typically requires immediate and irrevocable matching decisions. However, in many modern decentralized systems such as real-time ride-hailing and distributed cloud computing, the primary…

Data Structures and Algorithms · Computer Science 2026-05-15 Sara Ahmadian , Edith Cohen , Mohammad Roghani

The robust multi-product pricing problem is to determine the prices of a collection of products so as to maximize the worst-case revenue, where the worst case is taken over an uncertainty set of demand models that the firm expects could be…

Optimization and Control · Mathematics 2025-02-17 Xinyi Guan , Velibor V. Mišić

Although shared rides have the potential to increase vehicle utilization and reduce congestion and emissions, these benefits depend heavily on ridesharing platforms' ability to match riders effectively. As such, shared rides have seen…

Optimization and Control · Mathematics 2026-04-21 Yifan Shen , Junlin Chen , Julia Yan , Chiwei Yan

This paper studies the optimal spatial pricing for a ride-sourcing platform subject to a congestion charge. The platform determines the ride prices over the transportation network to maximize its profit, while the regulatory agency imposes…

Optimization and Control · Mathematics 2021-07-20 Sen Li , Hai Yang , Kameshwar Poolla , Pravin Varaiya

A widely used heuristic for solving stochastic optimization problems is to use a deterministic rolling horizon procedure, which has been modified to handle uncertainty (e.g. buffer stocks, schedule slack). This approach has been criticized…

Optimization and Control · Mathematics 2017-03-16 Raymond T. Perkins , Warren B. Powell