A lower bound for online rectangle packing

11/23/2018
by   Leah Epstein, et al.
0

We slightly improve the known lower bound on the asymptotic competitive ratio for online bin packing of rectangles. We present a complete proof for the new lower bound, whose value is above 1.91.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
07/15/2018

A new lower bound for classic online bin packing

We improve the lower bound on the asymptotic competitive ratio of any on...
research
02/18/2023

A Tight Lower Bound for Compact Set Packing

This note is devoted to show a simple proof of a tight lower bound of th...
research
04/20/2022

A Best Cost-Sharing Rule for Selfish Bin Packing

In selfish bin packing, each item is regarded as a player, who aims to m...
research
04/21/2022

Online Two-Dimensional Vector Packing with Advice

We consider the online two-dimensional vector packing problem, showing a...
research
02/10/2021

A better lower bound for Lower-Left Anchored Rectangle Packing

Given any set of points S in the unit square that contains the origin, d...
research
11/27/2021

Scheduling Appointments Online: The Power of Deferred Decision-Making

The recently introduced online Minimum Peak Appointment Scheduling (MPAS...
research
02/03/2019

A Delsarte-Style Proof of the Bukh-Cox Bound

The line packing problem is concerned with the optimal packing of points...

Please sign up or login with your details

Forgot password? Click here to reset