A 3-approximation algorithm for maximum independent set of rectangles

W Gálvez, A Khan, M Mari, T Mömke, MR Pittu… - Proceedings of the 2022 …, 2022 - SIAM
We study the Maximum Independent Set of Rectangles (MISR) problem, where we are given
a set of axis-parallel rectangles in the plane and the goal is to select a subset of non …

Finding fair allocations under budget constraints

S Barman, A Khan, S Shyam… - Proceedings of the AAAI …, 2023 - ojs.aaai.org
We study the fair allocation of indivisible goods among agents with identical, additive
valuations but individual budget constraints. Here, the indivisible goods--each with a specific …

A Tight -Approximation for Skewed Strip Packing

W Gálvez, F Grandoni, AJ Ameli, K Jansen, A Khan… - Algorithmica, 2023 - Springer
Abstract In the Strip Packing problem, we are given a vertical half-strip [0, W]×[0,+∞) and a
collection of open rectangles of width at most W. Our goal is to find an axis-aligned (non …

Approximation Schemes for Geometric Knapsack for Packing Spheres and Fat Objects

P Acharya, S Bhore, A Gupta, A Khan, B Mondal… - arxiv preprint arxiv …, 2024 - arxiv.org
We study the geometric knapsack problem in which we are given a set of $ d $-dimensional
objects (each with associated profits) and the goal is to find the maximum profit subset that …

Approximating the geometric knapsack problem in near-linear time and dynamically

M Buchem, P Deuker, A Wiese - arxiv preprint arxiv:2403.00536, 2024 - arxiv.org
An important goal in algorithm design is determining the best running time for solving a
problem (approximately). For some problems, we know the optimal running time, assuming …

A Tight (3/2 + )-Approximation Algorithm for Demand Strip Packing

F Eberle, F Hommelsheim, M Rau, S Walzer - … of the 2025 Annual ACM-SIAM …, 2025 - SIAM
Abstract We consider the Demand Strip Packing problem (DSP), in which we are given a set
of jobs, each specified by a processing time and a demand. The task is to schedule all jobs …

On improved interval cover mechanisms for crowdsourcing markets

E Markakis, G Papasotiropoulos, A Tsikiridis - International Symposium on …, 2022 - Springer
We study a covering problem motivated by spatial models in crowdsourcing markets, where
tasks are ordered according to some geographic or temporal criterion. Assuming that each …

A Dynamic Programming Framework for Generating Approximately Diverse and Optimal Solutions

W Gálvez, M Goswami, A Merino, GB Park… - arxiv preprint arxiv …, 2025 - arxiv.org
We develop a general framework, called approximately-diverse dynamic programming
(ADDP) that can be used to generate a collection of $ k\ge2 $ maximally diverse solutions to …