Class constrained bin packing revisited

A note on dual approximation algorithms for class constrained bin packing problems

In this paper we present a dual approximation scheme for the class constrained shelf bin packing problem. In this problem, we are given bins of capacity 1, and n items of Q different classes, each item e with class ce and size se. The problem is to pack the items into bins, such that two items of different classes packed in a same bin must be in different shelves. Items in a same shelf are pack...

Polynomial Time Approximation Schemes for Class-Constrained Packing Problems

We consider variants of the classic bin packing and multiple knapsack problems, in which sets of items of di erent classes (colours) need to be placed in bins; the items may have di<erent sizes and values. Each bin has a limited capacity, and a bound on the number of distinct classes of items it can accommodate. In the class-constrained multiple knapsack (CCMK) problem, our goal is to maximize ...

The Class Constrained Bin Packing Problem with Applications to Video-on-Demand

In this paper we present approximation results for the class constrained bin packing problem that has applications to Video-on-Demand Systems. In this problem we are given bins of capacity B with C compartments, and n items of Q different classes, each item i ∈ {1, . . . , n} with class ci and size si. The problem is to pack the items into bins, where each bin contains at most C different class...

Black and White Bin Packing Revisited

An experimental comparison of some heuristics for cardinality constrained bin packing problem

Background: Bin packing is an NP hard optimization problem of packing items of given sizes into minimum number of capacity limited bins. Besides the basic problem, numerous other variants of bin packing exist. The cardinality constrained bin packing adds an additional constraint that the number of items in a bin must not exceed a given limit Nmax. Objectives: Goal of the paper is to present a p...