Sentence examples for classes of instances from inspiring English sources

Exact(4)

We apply the approach to the detection of communities in the optima networks produced by two different classes of instances of a hard combinatorial optimization problem: the quadratic assignment problem (QAP).

We also show that there exist classes of instances on which the running time of the reoptimization algorithm is smaller than the running time of an equivalent PTAS and FPTAS.

We propose a sequential value correction heuristic that outperforms the benchmark algorithm specifically designed for the same problem, and we finally give some insight on the structure of the Pareto-optimal sets of the considered classes of instances.

For some classes of instances the CPU times are very small; thus, in order to obtain a reliable estimate, it was necessary to compute, for each instance, the CPU time spent while solving it 100 times and correspondingly divide the total time.

Similar(55)

We first show that when the transportation is outsourced, the problem with OU policy is NP-hard, whereas there exists a class of instances where the problem with ML policy can be solved in polynomial time.

In the context, a class of instances that can play a role is defined by a class constraint and is called a role holder (Kozaki et al. 2000).

Since Armstrong endorses realism about universals (according to which properties are not reducible to their class of instances), there appears to be a certain tension between his realism and his actualism.

For in cases where we can compute the values of a function (or decide a problem) uniformly for the class of instances we are concerned with in practice, this is typically so precisely because we have discovered a polynomial time algorithm which can be implemented on current computing hardware (and hence also as a Turing machine).

Each line corresponds to a class of instances, and the average run time is reported for each method, as well as the type of computer used.

Such a stance is typically coupled with an attempt to reduce universals to other entities such as sets or classes of their instances or, as Lewis (1986) has proposed, to sets of all their possible instances.

Computational experiments on five classes of problem instances indicate that the proposed ATS-SO algorithm is able to find improved solutions for 14 instances and match the best known solutions for all remaining instances, whereas no previous method has succeeded in finding the previous best solutions for all instances.

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