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We investigate the problem of Min-cost Perfect Matching with Delays (MPMD) in which requests are pairwise matched in an online fashion with the objective to minimize the sum of space cost and time cost. Though linear-MPMD (i.e., time cost…

Data Structures and Algorithms · Computer Science 2022-03-08 Xingwu Liu , Zhida Pan , Yuyi Wang , Roger Wattenhofer

Matching demand (riders) to supply (drivers) efficiently is a fundamental problem for ride-sharing platforms who need to match the riders (almost) as soon as the request arrives with only partial knowledge about future ride requests. A…

Optimization and Control · Mathematics 2025-08-07 Omar El Housni , Vineet Goyal , Oussama Hanguir , Clifford Stein

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

This paper analyzes a service system modeled as a single-server queue, in which the service provider aims to dynamically maximize the expected revenue per unit of time. This is achieved by constructing a stochastic gradient descent…

Optimization and Control · Mathematics 2026-03-05 Shreehari Anand Bodas , Harsha Honnappa , Michel Mandjes , Liron Ravner

We consider a dynamic system with multiple types of customers and servers. Each type of waiting customer or server joins a separate queue, forming a bipartite graph with customer-side queues and server-side queues. The platform can match…

Optimization and Control · Mathematics 2024-11-19 Zixian Yang , Lei Ying

Matching demand with supply in crowdsourcing logistics platforms must contend with uncertain worker participation. Motivated by this challenge, we study a two-stage "recommend-to-match" problem under stochastic supplier rejections, where…

Optimization and Control · Mathematics 2026-04-01 Haoyue Liu , Sheng Liu , Mingyao Qi

We study decentralized markets for goods whose utility perishes in time, with compute as a primary motivation. Recent advances in reproducible and verifiable execution allow jobs to pause, verify, and resume across heterogeneous hardware,…

Theoretical Economics · Economics 2025-11-21 Chengqi Zang , Gabriel P. Andrade , Oğuzhan Ersoy

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

Motivated by applications in online marketplaces such as ride-hailing, we study how strategic servers impact the system performance. We consider a discrete-time process in which, heterogeneous types of customers and servers arrive. Each…

Optimization and Control · Mathematics 2021-06-25 Sushil Mahavir Varma , Francisco Castro , Siva Theja Maguluri

Ridesharing markets are complex: drivers are strategic, rider demand and driver availability are stochastic, and complex city-scale phenomena like weather induce large scale correlation across space and time. At the same time, past work has…

Optimization and Control · Mathematics 2022-05-20 J. Massey Cashore , Peter I. Frazier , Eva Tardos

We study dynamic matching in a spatial setting. Drivers are distributed at random on some interval. Riders arrive in some (possibly adversarial) order at randomly drawn points. The platform observes the location of the drivers, and can…

Data Structures and Algorithms · Computer Science 2021-04-08 Mohammad Akbarpour , Yeganeh Alimohammadi , Shengwu Li , Amin Saberi

We consider the problem of controlling a Markov decision process (MDP) with a large state space, so as to minimize average cost. Since it is intractable to compete with the optimal policy for large scale problems, we pursue the more modest…

Optimization and Control · Mathematics 2014-02-28 Yasin Abbasi-Yadkori , Peter L. Bartlett , Alan Malek

This work is motivated by our collaboration with a large consumer packaged goods (CPG) company. We have found that while the company appreciates the advantages of dynamic pricing, they deem it operationally much easier to plan out a static…

Data Structures and Algorithms · Computer Science 2020-11-24 Will Ma , David Simchi-Levi , Jinglong Zhao

Ride-sourcing platforms often face imbalances in the demand and supply of rides across areas in their operating road-networks. As such, dynamic pricing methods have been used to mediate these demand asymmetries through surge price…

Data Structures and Algorithms · Computer Science 2021-06-29 Renos Karamanis , Eleftherios Anastasiadis , Marc Stettler , Panagiotis Angeloudis

The problem of finding a solution to the linear system $Ax = b$ with certain minimization properties arises in numerous scientific and engineering areas. In the era of big data, the stochastic optimization algorithms become increasingly…

Numerical Analysis · Mathematics 2026-01-05 Yun Zeng , Deren Han , Yansheng Su , Jiaxin Xie

Recently, there is growing interest and need for dynamic pricing algorithms, especially, in the field of online marketplaces by offering smart pricing options for big online stores. We present an approach to adjust prices based on the…

Optimization and Control · Mathematics 2021-01-13 David Müller , Yurii Nesterov , Vladimir Shikhman

Duality of linear programming is a standard approach to the classical weighted maximum matching problem. From an economic perspective, the dual variables can be regarded as prices of products and payoffs of buyers in a two-sided matching…

Data Structures and Algorithms · Computer Science 2019-12-03 Xiaoming Li , Tao Lin

We consider the problem of scheduling arrivals to a congestion system with a finite number of users having identical deterministic demand sizes. The congestion is of the processor sharing type in the sense that all users in the system at…

Optimization and Control · Mathematics 2017-04-12 Liron Ravner , Yoni Nazarathy

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

Mobility-on-demand (MoD) ridesharing is a promising way to improve the occupancy rate of personal vehicles and reduce traffic congestion and emissions. Maximizing the number of passengers served and maximizing a profit target are major…

Data Structures and Algorithms · Computer Science 2023-10-10 Qian-Ping Gu , Jiajian Leo Liang