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We study the Best Fit algorithm for on line bin packing under the distribution in which the item sizes are uniformly distributed in the discrete range f k k j kg Our main result is that in the case j k the asymptotic expected waste remains bounded This settles an open problem of Co man et al and involves a detailed analysis of the in nite multi dimensional Markov chain underlying the algorithm

We consider online bin packing where in addition to the opening cost of each bin, the arriving items collect delay costs until their assigned bins are released (closed), and the open bins themselves collect holding costs. Besides being of practical interest, this problem generalises several previously unrelated online optimisation problems. We provide a general online algorithm for this problem...

The title compound, C(34)H(36)N(2)O(6), located on a center of inversion, crystallizes with one half-mol-ecule in the asymmetric unit. The dihedral angle between the benzene rings is 86.19 (2)°. An intra-molecular N-H⋯O hydrogen bond forms a six-membered ring; it affects the conformation of the mol-ecule which adopts a folded rather than open conformation. The crystal packing is stabilized by i...

method previously employed by westoo for the determination of alkylmercury compounds was producing very wide picks during g.c. analyses. changing the column temperature, carrier gas flow and pressure did not supersede the problem. therefore change in packing materials was experienced. 5% dc-200 on gas-chrom did not work. a packing material used for chlorinated hydrocarbons w, 80-100 mesh. as th...

Amide functionalized anthradithiophenes (ADTs) play active acceptor roles in polymer bulk-heterojunction solar cells. The first separation of ADT isomers is reported, and the regiochemistry of the ADT has significant impact on crystal packing and solar cell performance. Cell efficiency up to 0.80%, due in large part to high open-circuit voltage (V(OC) > 1.0 V), is achieved in bulk-heterojunctio...

The question of whether subcubic graphs have finite packing chromatic number or not is still open although positive responses are known for some subclasses, including subcubic trees, base-3 Sierpiski graphs and hexagonal lattices. In this paper, we answer positively to the question for some subcubic outerplanar graphs. We provide asymptotic bounds depending on structural properties of the weak ...

Upper and lower bounds on the total domination number of the direct product of graphs are given. The bounds involve the {2}-total domination number, the total 2-tuple domination number, and the open packing number of the factors. Using these relationships one exact total domination number is obtained. An infinite family of graphs is constructed showing that the bounds are best possible. The dom...

We examine a variant of so-called carbon nanotube peapods by packing C60 molecules inside the open edge ducts of collapsed carbon nanotubes. C60 insertion is accomplished through a facile single-step solution-based process. Theoretical modeling is used to evaluate favorable low-energy structural configurations. Overfilling of the collapsed tubes allows infiltration of C60 over the full cross-se...