To design approximation algorithms, you need to consider the trade-off between the accuracy of the solution and the running time of the algorithm.

Kaourintin Le Guiban, Arpad Rimmel, Marc-Antoine Weisser, Joanna Tomasik, The First Approximation Algorithm for the Maximin Latin Hypercube Design Problem, Operations Research, Vol. 66, No. 1 (Janaury ...

Next, we will study algorithms for NP-hard problems whose solutions are guaranteed to be within some approximation factor of the best possible solutions. Such algorithms are often quite efficient and ...

Learn what an approximation ratio is, how to calculate and compare it for different problems and algorithms, and what are some examples, challenges, and limitations of approximation algorithms and ...

We consider an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable ...

Furthermore, for cases in which the subproblem admits a fully polynomial approximation scheme (such as for GAP), the LP-based algorithm analysis can be strengthened to give a guarantee of 1 — 1/e. The ...

In scheduling theory, the non-preemptive scheduling on a single machine of jobs with increasing processing times and release dates for total completion time minimization is known to be a strongly ...

Id: 036940 Credits Min: 3 Credits Max: 3 Description This course covers advanced topics in approximation algorithms for NP-hard problems, including combinatorial algorithms and LP-based algorithms for ...