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We propose a formal graph-theoretic model for studying the problem of matching rides online in a ride-sharing platform. Unlike most of the literature on online matching, our model, that we call {em Online Windowed Non-Bipartite Matching} ($mbox{OWNBM}$), pertains to online matching in {em non-bipartite} graphs. We show that the edge-weighted and vertex-weight
The unmanned aerial vehicle (UAV) has emerged as a promising solution to provide delivery and other mobile services to customers rapidly, yet it drains its stored energy quickly when travelling on the way and (even if solar-powered) it takes time for
We study the greedy-based online algorithm for edge-weighted matching with (one-sided) vertex arrivals in bipartite graphs, and edge arrivals in general graphs. This algorithm was first studied more than a decade ago by Korula and Pal for the biparti
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 distribution ov
Over three decades ago, Karp, Vazirani and Vazirani (STOC90) introduced the online bipartite matching problem. They observed that deterministic algorithms competitive ratio for this problem is no greater than $1/2$, and proved that randomized algorit
Online bipartite matching and its variants are among the most fundamental problems in the online algorithms literature. Karp, Vazirani, and Vazirani (STOC 1990) introduced an elegant algorithm for the unweighted problem that achieves an optimal compe