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The kidney exchange problem (KEP) seeks to find possible exchanges among pairs of patients and their incompatible kidney donors while meeting specific optimization criteria such as maximizing the overall number of possible transplants.…

Cryptography and Security · Computer Science 2024-02-02 Malte Breuer , Ulrike Meyer , Susanne Wetzel

In barter exchanges, participants swap goods with one another without exchanging money; exchanges are often facilitated by a central clearinghouse, with the goal of maximizing the aggregate quality (or number) of swaps. Barter exchanges are…

Artificial Intelligence · Computer Science 2020-10-26 Duncan C McElfresh , Michael Curry , Tuomas Sandholm , John P Dickerson

Motivated by kidney exchange, we study the following mechanism-design problem: On a directed graph (of transplant compatibilities among patient-donor pairs), the mechanism must select a simple path (a chain of transplantations) starting at…

Computer Science and Game Theory · Computer Science 2021-06-23 Avrim Blum , Paul Gölz

Kidney exchange is a barter market where patients trade willing but medically incompatible donors. These trades occur via cycles, where each patient-donor pair both gives and receives a kidney, and via chains, which begin with an altruistic…

Data Structures and Algorithms · Computer Science 2016-06-02 Benjamin Plaut , John P. Dickerson , Tuomas Sandholm

Background: The kidney exchange problem (KEP) addresses the matching of patients in need for a replacement organ with compatible living donors. Ideally many medical institutions should participate in a matching program to increase the…

Cryptography and Security · Computer Science 2022-04-22 Timm Birka , Kay Hamacher , Tobias Kussel , Helen Möllering , Thomas Schneider

Motivated by kidney exchange, we study a stochastic cycle and chain packing problem, where we aim to identify structures in a directed graph to maximize the expectation of matched edge weights. All edges are subject to failure, and the…

Artificial Intelligence · Computer Science 2020-07-08 Hoda Bidkhori , John P Dickerson , Duncan C McElfresh , Ke Ren

The Kidney Exchange Problem is a prominent challenge in healthcare and economics, arising in the context of organ transplantation. It has been extensively studied in artificial intelligence and optimization. In a kidney exchange, a set of…

Data Structures and Algorithms · Computer Science 2026-05-12 Kangyi Tian , Mingyu Xiao

We study the problem of dynamic matching in heterogeneous networks, where agents are subject to compatibility restrictions and stochastic arrival and departure times. In particular, we consider networks with one type of easy-to-match agents…

Machine Learning · Computer Science 2023-03-09 Xiaowu Dai , Hengzhi He

The kidney paired donation (KPD) program provides an innovative solution to overcome incompatibility challenges in kidney transplants by matching incompatible donor-patient pairs and facilitating kidney exchanges. To address unequal access…

Methodology · Statistics 2026-01-21 Mingrui Zhang , Xiaowu Dai , Lexin Li

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

Algorithms for exchange of kidneys is one of the key successful applications in market design, artificial intelligence, and operations research. Potent immunosuppressant drugs suppress the body's ability to reject a transplanted organ up to…

Computer Science and Game Theory · Computer Science 2021-03-04 Haris Aziz , Agnes Cseh , John P. Dickerson , Duncan C. McElfresh

In Kidney Exchange Programs (KEPs), each participating patient is registered together with an incompatible donor. Donors without an incompatible patient can also register. Then, KEPs typically maximize overall patient benefit through donor…

Optimization and Control · Mathematics 2025-03-04 William St-Arnaud , Margarida Carvalho , Golnoosh Farnadi

Kidney paired donation programs allow patients registered with an incompatible donor to receive a suitable kidney from another donor, as long as the latter's co-registered patient, if any, also receives a kidney from a different donor. The…

Optimization and Control · Mathematics 2023-03-13 Lizeth Carolina Riascos-Álvarez , Merve Bodur , Dionne M. Aleman

The seminal work of Roth, S\"onmez, & \"Unver shows that the Edmonds-Gallai structure theorem for non-bipartite matching can be leveraged to yield a randomized algorithm to match patient-donor pairs in kidney exchange with extraordinarily…

Data Structures and Algorithms · Computer Science 2026-05-20 Claire Chang , Arin Khare , David Shmoys

Kidney exchange programs have been developed to find compatible kidneys for recipients who have incompatible donors. On the other hand, patients who do not have a living donor depend upon deceased donor (DD) donations to get a kidney…

Optimization and Control · Mathematics 2020-10-13 Utkarsh Verma , Narayan Rangaraj

AI algorithms increasingly make decisions that impact entire groups of humans. Since humans tend to hold varying and even conflicting preferences, AI algorithms responsible for making decisions on behalf of such groups encounter the problem…

Artificial Intelligence · Computer Science 2020-06-18 Rachel Freedman

In the query-commit problem we are given a graph where edges have distinct probabilities of existing. It is possible to query the edges of the graph, and if the queried edge exists then its endpoints are irrevocably matched. The goal is to…

Data Structures and Algorithms · Computer Science 2011-10-06 Marco Molinaro , R. Ravi

Kidney exchange is a transplant modality that has provided new opportunities for living kidney donation in many countries around the world since 1991. It has been extensively studied from an Operational Research (OR) perspective since 2004.…

Data Structures and Algorithms · Computer Science 2025-09-03 Mathijs Barkel , Rachael Colley , Maxence Delorme , David Manlove , William Pettersson

In barter exchanges, participants directly trade their endowed goods in a constrained economic setting without money. Transactions in barter exchanges are often facilitated via a central clearinghouse that must match participants even in…

Artificial Intelligence · Computer Science 2018-11-09 Duncan C McElfresh , Hoda Bidkhori , John P Dickerson

We study a continuous-time, infinite-horizon dynamic bipartite matching problem. Suppliers arrive according to a Poisson process; while waiting, they may abandon the queue at a uniform rate. Customers on the other hand must be matched upon…

Data Structures and Algorithms · Computer Science 2025-06-03 Alireza AmaniHamedani , Ali Aouad , Amin Saberi