منابع مشابه
Bin Packing with Queues
We study the best achievable performance (in terms of the average queue size and delay) in a stochastic and dynamic version of the bin-packing problem. Items arrive to a queue according to a Poisson process with rate 2ρ, where ρ ∈ (0, 1). The item sizes are independent and identically distributed (i.i.d.) with a uniform distribution in [0, 1]. At each time unit, a single unit-size bin is availa...
متن کاملBin Packing
In the bin packing problem, we get a sequence of packets of size r 1 ; r 2 ; r 3 ; : : :, each r i 1, and we must place the packets into bins of size 1 using as few bins as possible. The size of a bin is the accumulated size of all packets in the bin, and the free capacity of a bin is 1 minus its size.
متن کاملBin Packing with Multiple Colors
The Bin Packing problem is a classical optimization problem with many practical applications related to minimizing time or space. The Black and White Bin Packing problem is a variation proposed by Balogh et al. (2012), where we are given a set of items each with a weight and a color either white or black. We have an unlimited number of bins each with a weight limit and we assume that no item we...
متن کاملOn Bin Packing with Conflicts
We consider the offline and online versions of a bin packing problem called bin packing with conflicts. Given a set of items V = {1, 2, . . . , n} with sizes s1, s2 . . . , sn ∈ [0, 1] and a conflict graph G = (V, E), the goal is to find a partition of the items into independent sets of G, where the total size of each independent set is at most one, so that the number of independent sets in the...
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...
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ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2008
ISSN: 0021-9002,1475-6072
DOI: 10.1239/jap/1231340224