A tight Analysis of Brown-Baker-Katseff Sequences for Online Strip Packing
نویسندگان
چکیده
We study certain adversary sequences for online strip packing which were first designed and investigated by Brown, Baker and Katseff (Acta Inform. 18:207– 225) and determine the optimal competitive ratio for packing such Brown-BakerKatseff sequences online. As a byproduct of our result, we get a new lower bound of ρ ≥ 3/2 +√33/6 ≈ 2.457 for the competitive ratio of online strip packing.
منابع مشابه
A note on the lower bound for online strip packing
This note presents a lower bound of 3/2+ √ 33/6 ≈ 2.457 on the competitive ratio for online strip packing. The instance construction we use to obtain the lower bound was first coined by Brown, Baker and Katseff [2]. Recently this instance construction is used to improve the lower bound in computer aided proofs. We derive the best possible lower bound that can be obtained with this instance cons...
متن کاملA Comparative Study of Exact Algorithms for the Two Dimensional Strip Packing Problem
In this paper we consider a two dimensional strip packing problem. The problem consists of packing a set of rectangular items in one strip of width W and infinite height. They must be packed without overlapping, parallel to the edge of the strip and we assume that the items are oriented, i.e. they cannot be rotated. To solve this problem, we use three exact methods: a branch and bound method, a...
متن کاملA new metaheuristic genetic-based placement algorithm for 2D strip packing
Given a container of fixed width, infinite height and a set of rectangular block, the 2D-strip packing problem consists of orthogonally placing all the rectangles such that the height is minimized. The position is subject to confinement of no overlapping of blocks. The problem is a complex NP-hard combinatorial optimization, thus a heuristic based on genetic algorithm is proposed to solve it. I...
متن کاملLNCS 7164 - Improved Lower Bound for Online Strip Packing
In the two-dimensional strip packing problem a number of rectangles have to be packed without rotation or overlap into a strip such that the height of the strip used is minimal. The width of the rectangles is bounded by 1 and the strip has width 1 and infinite height. We study the online version of this packing problem. In the online version the rectangles are given to the online algorithm one ...
متن کاملStrip Packing vs. Bin Packing
In this paper we establish a general algorithmic framework between bin packing and strip packing, with which we achieve the same asymptotic bounds by applying bin packing algorithms to strip packing. More precisely we obtain the following results: (1) Any offline bin packing algorithm can be applied to strip packing maintaining the same asymptotic worst-case ratio. Thus using FFD (MFFD) as a su...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Comb. Optim.
دوره 26 شماره
صفحات -
تاریخ انتشار 2010