Two- and three-dimensional parametric packing
نویسندگان
چکیده
We present approximation algorithms for the twoand three-dimensional bin packing problems and the three-dimensional strip packing problem. We consider the special case of these problems in which a parameter (a positive integer) is given, indicating that each of the dimensions of the items to be packed is at most of the corresponding dimension of the recipient. We analyze the asymptotic performance of these algorithms and exhibit bounds that, to our knowledge, are the best known for this special case.
منابع مشابه
A 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 کاملExtending Two-Dimensional Bin Packing Problem: Consideration of Priority for Items
In this paper a two-dimensional non-oriented guillotine bin packing problem is studied when items have different priorities. Our objective is to maximize the total profit which is total revenues minus costs of used bins and wasted area. A genetic algorithm is developed to solve this problem where a new coding scheme is introduced. To evaluate the performance of the proposed GA, first an upper b...
متن کاملParametric Study of Movement Path in Two-dimensional Wing Flow Separation: Experimental Investigation
The aim of this experimental study is two-dimensional investigation of cargo behavior after separation which is carried out in the subsonic wind tunnel. Given that the real separation occurs in three-dimension, the results of this study may be widely used in numerical aerodynamic studies for verification of new computational methods and they can be used as the reference results in this area. So...
متن کاملAbstract: Packing rectangular shapes into a rectangular space is one of the most important discussions on Cutting & Packing problems (C;P) such as: cutting problem, bin-packing problem and distributor's pallet loading problem, etc. Assume a set of rectangular pieces with specific lengths, widths and utility values. Also assume a rectangular packing space with specific width and length. The obj...
متن کاملبررسی تعدادی از روشهای آماری جهت ترسیم نمودار کنترل مشاهدات انفرادی برای فرایندهای اتورگرسیو
Packing rectangular shapes into a rectangular space is one of the most important discussions on Cutting & Packing problems (C;P) such as: cutting problem, bin-packing problem and distributor's pallet loading problem, etc. Assume a set of rectangular pieces with specific lengths, widths and utility values. Also assume a rectangular packing space with specific width and length. The objective fu...
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:
- Computers & OR
دوره 34 شماره
صفحات -
تاریخ انتشار 2005