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20172026
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cs.DS2026

Improved Algorithms and Lower Bounds for Parametrized Metrical Service Systems

Junhao Gan, Xiao Sun, Seeun William Umboh

We consider the parametrized setting of the classical metrical service system (MSS) problem first studied by Bubeck and Rabani (APPROX/RANDOM 2020). In this setting, the adversary…

cs.DS2026

Online Matching with Size-Based and Convex Delays

Junhao Gan, Xiao Sun, Seeun William Umboh

We study the online min-cost perfect matching with delay (MPMD) problem where requests arrive in a metric space of points. In MPMD, an algorithm can choose to match a reque…

cs.DS2026

A Radius-Sensitive Approximation Algorithm for Connected Submodular Maximization

Philip Cervenjak, Junhao Gan, Naonori Kakimura +2

Connected Submodular Maximization (CSM) is a graph problem with important applications to wireless network deployment, path planning, epidemic outbreaks, and cancer genome studies.…

cs.DS2026

Online TCP Acknowledgment under General Delays

Sujoy Bhore, Michał Pawłowski, Seeun William Umboh

In a seminal work, Dooly, Goldman, and Scott (STOC 1998; JACM 2001) introduced the classic Online TCP Acknowledgment} problem: a sequence of packets arrives over time, and the…

cs.DS2026

Improved Online Algorithms for Inventory Management Problems with Holding and Delay Costs: Riding the Wave Makes Things Simpler, Stronger, & More General

David Shmoys, Varun Suriyanarayana, Seeun William Umboh

The Joint Replenishment Problem (JRP) is a classical inventory management problem, that aims to model the trade-off between coordinating orders for multiple commodities (and their…

cs.DS2025

Learning-Augmented Online Algorithms for Nonclairvoyant Joint Replenishment Problem with Deadlines

Michael Dinitz, Jeremy T. Fineman, Seeun William Umboh

This paper considers using predictions in the context of the online Joint Replenishment Problem with Deadlines (JRP-D). Prior work includes asymptotically optimal competitive ratio…