The design of competitive online algorithms via a primal–dual approach

N Buchbinder, JS Naor - Foundations and Trends® in …, 2009 - nowpublishers.com
The primal–dual method is a powerful algorithmic technique that has proved to be extremely
useful for a wide variety of problems in the area of approximation algorithms for NP-hard …

[HTML][HTML] A multi-agent coalition-based approach for order fulfilment in e-commerce

P Nanda, S Patnaik - Decision Analytics Journal, 2023 - Elsevier
The rapid growth of e-commerce in the recent pandemic is driven by the wide adoption of
digitization, extensive use of smartphones, affordable internet services, and the convenience …

The power of clairvoyance for multi-level aggregation and set cover with delay

NM Le, S William Umboh, N Xie - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
Most online problems with delay require clairvoyance, the future delay of a request is known
upon its arrival, to achieve polylogarithmic competitiveness. An exception is Set Cover with …

General framework for metric optimization problems with delay or with deadlines

Y Azar, N Touitou - 2019 IEEE 60th Annual Symposium on …, 2019 - ieeexplore.ieee.org
In this paper, we present a framework used to construct and analyze algorithms for online
optimization problems with deadlines or with delay over a metric space. Using this …

Beyond tree embeddings–a deterministic framework for network design with deadlines or delay

Y Azar, N Touitou - 2020 IEEE 61st Annual Symposium on …, 2020 - ieeexplore.ieee.org
We consider network design problems with deadline or delay. All previous results for these
models are based on randomized embedding of the graph into a tree (HST) and then …

Better approximation bounds for the joint replenishment problem

M Bienkowski, J Byrka, M Chrobak, Ł Jeż… - Proceedings of the twenty …, 2014 - SIAM
Abstract The Joint Replenishment Problem (JRP) deals with optimizing shipments of goods
from a supplier to retailers through a shared warehouse. Each shipment involves …

A primal-dual online deterministic algorithm for matching with delays

M Bienkowski, A Kraska, HH Liu, P Schmidt - International Workshop on …, 2018 - Springer
Abstract In the Min-cost Perfect Matching with Delays (MPMD) problem, 2 m requests arrive
over time at points of a metric space. An online algorithm has to connect these requests in …

A match in time saves nine: Deterministic online matching with delays

M Bienkowski, A Kraska, P Schmidt - International Workshop on …, 2017 - Springer
We consider the problem of online Min-cost Perfect Matching with Delays (MPMD)
introduced by Emek et al.(STOC 2016). In this problem, an even number of requests appear …

Online algorithms for multi-level aggregation

M Bienkowski, M Böhm, J Byrka, M Chrobak… - arXiv preprint arXiv …, 2015 - arxiv.org
In the Multi-Level Aggregation Problem (MLAP), requests arrive at the nodes of an edge-
weighted tree T, and have to be served eventually. A service is defined as a subtree X of T …

Nearly-tight lower bounds for set cover and network design with deadlines/delay

N Touitou - 32nd International Symposium on Algorithms and …, 2021 - drops.dagstuhl.de
In network design problems with deadlines/delay, an algorithm must make transmissions
over time to satisfy connectivity requests on a graph. To satisfy a request, a transmission …