Approximation algorithms for a hierarchically structured bin packing problem
نویسندگان
چکیده
In this paper we study a variant of the bin packing problem in which the items to be packed are structured as the leaves of a tree. The problem is motivated by document organization and retrieval. We show that the problem is NP-hard and we give approximation algorithms for the general case and for the particular case in which all the items have the same size.
منابع مشابه
Comments on the hierarchically structured bin packing problem
We study the hierarchically structured bin packing problem. In this problem, the items to be packed into bins are at the leaves of a tree. The objective of the packing is to minimize the total number of bins into which the descendants of an internal node are packed, summed over all internal nodes. We investigate an existing algorithm and make a correction to the analysis of its approximation ra...
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 کاملBin Packing Problem: Two Approximation Algorithms
The Bin Packing Problem is one of the most important optimization problems. In recent years, due to its NP-hard nature, several approximation algorithms have been presented. It is proved that the best algorithm for the Bin Packing Problem has the approximation ratio 3/2 and the time orderO(n), unlessP=NP. In this paper, first, a -approximation algorithm is presented, then a modification to FFD ...
متن کاملBin Packing Problem: a Linear Constant- Space -approximation Algorithm
Since the Bin Packing Problem (BPP) is one of the main NP-hard problems, a lot of approximation algorithms have been suggested for it. It has been proven that the best algorithm for BPP has the approximation ratio of and the time order of ( ), unless = . In the current paper, a linear approximation algorithm is presented. The suggested algorithm not only has the best possible theoretical factor...
متن کاملApproaches to Bin Packing with Clique-Graph Conflicts
The problem of bin packing with arbitrary conflicts was introduced in [3]. In this paper, we consider a restricted problem, bin packing with clique-graph conflicts. We prove bounds for several approximation algorithms, and show that certain onand off-line algorithms are equivalent. Finally, we present an optimal polynomial-time algorithm for the case of constant item sizes, and analyze its perf...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Inf. Process. Lett.
دوره 89 شماره
صفحات -
تاریخ انتشار 2004