Sentence examples for problems of sizes from inspiring English sources

Quadratic Assignment Problems (QAPs) are the hardest of combinatorial optimization problems, with some problems of sizes of the order of 30 still remaining unsolved optimally.

We give the AugNN formulation for each of the 12 heuristics and show computational results on 100 randomly generated problems of sizes ranging from 20 to 70 tasks and 2 to 5 machines.

"With size come problems of size.

There are problems of size, cost and cohesion.

With Griffo's cursive type as the base, the problems of size and readability were both solved; and, by increasing the normal print run to 1,000 copies per edition, the economics were rendered more favourable.

According to Algorithm 1, this problem is always broken into two smaller problems of size and.

There are problems in P requiring \(n^{1,000}\) time for problems of size \(n\) and thus not feasible.

For second objective, corresponding most deviation is 2.29 % for problems of size 150, and the average is 0.5%%.

For first objective, the most deviation of traditional NSGA-II from modified one is 24.21 % for problems of size 150, and the average deviation is 9.58%%.

In practice we experience a good scaling behavior with up to ({approx}10^3) processes7 for problems of size (8192^2), cf. "Performance and scalability" section.

The number of steps required for problems of size \(n\) tends to be less than \(c n^k\) with small multiplicative constants \(c\), and very small exponents, \ k\), i.e., \ k\leq 2\).