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Recent years have witnessed the rise of many successful e-commerce marketplace platforms like the Amazon marketplace, AirBnB, Uber/Lyft, and Upwork, where a central platform mediates economic transactions between buyers and sellers.…

Computer Science and Game Theory · Computer Science 2018-03-01 Reza Alijani , Siddhartha Banerjee , Sreenivas Gollapudi , Kostas Kollias , Kamesh Munagala

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

Optimization and Control · Mathematics 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

Matching platforms, from ridesharing to food delivery to competitive gaming, face a fundamental operational dilemma: match agents immediately to minimize waiting costs, or delay to exploit the efficiency gains of thicker markets. Yet…

Optimization and Control · Mathematics 2026-01-30 Jie Liu , Hailun Zhang , Jiheng Zhang

We introduce a `concrete complexity' model for studying algorithms for matching in bipartite graphs. The model is based on the "demand query" model used for combinatorial auctions. Most (but not all) known algorithms for bipartite matching…

Computational Complexity · Computer Science 2019-06-12 Noam Nisan

We consider a stochastic bipartite matching model consisting of multi-class customers and multi-class servers. Compatibility constraints between the customer and server classes are described by a bipartite graph. Each time slot, exactly one…

Probability · Mathematics 2022-01-12 Céline Comte , Jan-Pieter Dorsman

Inspired by quantum switches, we consider a discrete-time multi-way matching system with two classes of arrivals: requests for entangled pair of qubits between two nodes, and qubits from each node that can be used to serve the requests. An…

Performance · Computer Science 2023-10-05 Martin Zubeldia , Prakirt R. Jhunjhunwala , Siva Theja Maguluri

Two-sided matching platforms provide users with menus of match recommendations. To maximize the number of realized matches between the two sides (referred here as customers and suppliers), the platform must balance the inherent tension…

Computer Science and Game Theory · Computer Science 2020-07-29 Itai Ashlagi , Anilesh K. Krishnaswamy , Rahul Makhijani , Daniela Saban , Kirankumar Shiragur

The proliferation of ride sharing systems is a major drive in the advancement of autonomous and electric vehicle technologies. This paper considers the joint routing, battery charging, and pricing problem faced by a profit-maximizing…

Systems and Control · Electrical Eng. & Systems 2020-10-05 Berkay Turan , Ramtin Pedarsani , Mahnoosh Alizadeh

We consider the allocation of limited resources to heterogeneous customers who arrive in an online fashion. We would like to allocate the resources "fairly", so that no group of customers is marginalized in terms of their overall service…

Data Structures and Algorithms · Computer Science 2021-05-24 Will Ma , Pan Xu , Yifan Xu

We study the problem of matching agents who arrive at a marketplace over time and leave after d time periods. Agents can only be matched while they are present in the marketplace. Each pair of agents can yield a different match value, and…

Data Structures and Algorithms · Computer Science 2018-08-13 Itai Ashlagi , Maximilien Burq , Chinmoy Dutta , Patrick Jaillet , Amin Saberi , Chris Sholley

We study the problem of matching agents who arrive at a marketplace over time and leave after d time periods. Agents can only be matched while they are present in the marketplace. Each pair of agents can yield a different match value, and…

Data Structures and Algorithms · Computer Science 2018-03-06 Itai Ashlagi , Maximilien Burq , Patrick Jaillet , Amin Saberi

We address a dynamic pricing problem for airlines aiming to maximize expected revenue from selling cargo space on a single-leg flight. The cargo shipments' weight and volume are uncertain and their precise values remain unavailable at the…

Optimization and Control · Mathematics 2024-04-09 Chengyu Du , Fang He , Xi Lin

The development of the Internet of Things (IoT) generates a significant amount of data that contains valuable knowledge for system operations and business opportunities. Since the data is the property of the IoT data owners, the access to…

Databases · Computer Science 2020-06-02 Tao Zhang , Quanyan Zhu

We study the scheduling polices for asymptotically optimal delay in queueing systems with switching overhead. Such systems consist of a single server that serves multiple queues, and some capacity is lost whenever the server switches to…

Performance · Computer Science 2017-01-17 Ping-Chun Hsieh , I-Hong Hou , Xi Liu

We consider the problem of scheduling a queueing system in which many statistically identical servers cater to several classes of impatient customers. Service times and impatience clocks are exponential while arrival processes are renewal.…

Probability · Mathematics 2007-05-23 Rami Atar , Avi Mandelbaum , Martin I. Reiman

We study the minimum-cost metric perfect matching problem under online i.i.d arrivals. We are given a fixed metric with a server at each of the points, and then requests arrive online, each drawn independently from a known probability…

Data Structures and Algorithms · Computer Science 2019-04-22 Anupam Gupta , Guru Guruganesh , Binghui Peng , David Wajc

Auctions are widely used in exchanges to match buy and sell requests. Once the buyers and sellers place their requests, the exchange determines how these requests are to be matched. The two most popular objectives used while determining the…

Data Structures and Algorithms · Computer Science 2024-03-06 Mohit Garg , Suneel Sarswat

In the weighted bipartite matching problem, the goal is to find a maximum-weight matching in a bipartite graph with nonnegative edge weights. We consider its online version where the first vertex set is known beforehand, but vertices of the…

Computer Science and Game Theory · Computer Science 2021-03-05 Rebecca Reiffenhäuser

We study dynamic matching in an infinite-horizon stochastic market. While all agents are potentially compatible with each other, some are hard-to-match and others are easy-to-match. Agents prefer to be matched as soon as possible and…

Data Structures and Algorithms · Computer Science 2017-11-09 Itai Ashlagi , Maximillien Burq , Patrick Jaillet , Vahideh Manshadi

In several applications of real-time matching of demand to supply in online marketplaces, the platform allows for some latency to batch the demand and improve the efficiency. Motivated by these applications, we study the optimal trade-off…

Data Structures and Algorithms · Computer Science 2022-12-01 Yiding Feng , Rad Niazadeh