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A 3-approximation algorithm for maximum independent set of rectangles
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 …
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
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 …
valuations but individual budget constraints. Here, the indivisible goods--each with a specific …
A Tight -Approximation for Skewed Strip Packing
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 …
collection of open rectangles of width at most W. Our goal is to find an axis-aligned (non …
A framework for approximation schemes on knapsack and packing problems of hyperspheres and fat objects
VG Chagas, E Dell'Arriva, FK Miyazawa - ar**) $ d $-dimensional axis-aligned hyperrectangles, and the goal is to …
Approximation Schemes for Geometric Knapsack for Packing Spheres and Fat Objects
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 …
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
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 …
problem (approximately). For some problems, we know the optimal running time, assuming …
A Tight (3/2 + ∈ )-Approximation Algorithm for Demand Strip Packing
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 …
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
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 …
tasks are ordered according to some geographic or temporal criterion. Assuming that each …
A Dynamic Programming Framework for Generating Approximately Diverse and Optimal Solutions
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 …
(ADDP) that can be used to generate a collection of $ k\ge2 $ maximally diverse solutions to …