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Fully Online Matching with Stochastic Arrivals and Departures

AAAI 2023 · Bandits and online learning › Online convex optimization and games · approach: Online allocation with constraints · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the LP-based SAM algorithm with γ = 7−√17/8Fully online matching · Mild conditions: Dv ≥ Varv and Dv ≥ 1competitive ratio lower bound: 0.155Helped
Use the fixed-sojourn-time analysisSAM · Fixed sojourn timescompetitive ratio lower bound: 0.159Helped
Use geometric sojourn times Geo(pG)SAM · Geometric sojourn timescompetitive ratio lower bound: 0.122 + 0.066pGMixed
Use binomial sojourn times B(nB, pB)SAM · Binomial sojourn times with Dv ≥ 1competitive ratio lower bound: 0.154 + 0.038/nBMixed
Use Poisson sojourn times with λP ≥ 1SAM · Poisson sojourn timescompetitive ratio lower bound: 0.155Helped
Set γ = 0.5 instead of γ = 0.36 (ablation)SAM · Synthetic datasets across tested parameter settingsempirical competitive ratioHelped
Set γ = 0.5 instead of γ = 0.36 (ablation)SAM · Mild-condition theoretical guaranteecompetitive ratio lower bound: 0.155; 0.141Hurt
Use SAM0.5 instead of the baseline algorithmsMatching algorithms on synthetic datasets · Tested parameter settingsempirical competitive ratioHelped
Use SAM rather than BAT as graph density decreasesMatching algorithms on synthetic datasets · Sparse graphsempirical competitive ratioHelped
Use SAM rather than BAT or GRD as sojourn-time diversity increasesMatching algorithms on synthetic datasets · Geometric sojourn-time distributionsempirical competitive ratioHelped

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