Sgall, An improved approximation algorithm for the asym- metric TSP with strengthened triangle inequality, J. Discrete Algorithms, 4 (2006), pp. 623- 632.Markus Blaser,Bodo Manthey,Jiri Sgall.An improved approximation algorithm for the asymmetric TSP with strengthened triangle inequality. Journal ...
This problem is closely related to the asymmetric TSP (ATSP), which seeks to find a tour (instead of an s-t path) visiting all the nodes: for ATSP, a -approximation guarantee implies an O()-approximation for ATSPP. However, no such connection is known for the integrality gaps of the...
S. Li. An improved approximation algorithm for the hard uniform capacitated k-median problem. http://arxiv.org/abs/1406.4454, 2014.Shanfei Li. An Improved Approximation Algorithm for the Hard Uniform Capacitated k-median Problem. In Approximation, Randomization, and Combinatorial Optimiza- tion. ...
An approximation algorithm for the generalized assignment problem The generalized assignment problem can be viewed as the following problem of scheduling parallel machines with costs. Each job is to be processed by exactl... DB Shmoys,éva Tardos - 《Mathematical Programming》 被引量: 1155发表: ...
Let A be an algorithm that generates a feasible solution to every instance I of a problem P. Let F*(I) be the value of an optimal solution, and let F′(I) be the value of the solution generated by A. Definition. A is a k-absolute approximation algorithm for P iff |F*(I) −...
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Therefore, a drift correction algorithm is used to compensate for displacement and GS. In this study, we improved the drift correction method based on Ye et al. [16]. As tracking progresses, the drift will inevitably increase. To mitigate this issue, the first respiratory cycle is used as ...
For the large x and/or n′, Qc(ε) may even become multi-valued (Figure 6.13). This limits the cell size and n′ ranges in which one can use this method. If there are several wavelengths at which δn′ = 0, the accuracy of the determination of ε can be improved by ...
For example in [39], under the assumption of bounded gradients and a step size of μi=1i, a convergence rate of O(lnii) is attained. Similar results hold for the so-called push method that is implemented on a dynamic graph [62]. Improved rates are obtained under the assumption of...
Notably, we found that the cell type-aware module also significantly improved the separation of tissue structures in the UMAP plot, while those of SEDR and STAGATE without the cell type-aware module were more like a smooth version of the non-spatial method SCANPY (Fig. 5c). We further ...