[图书][B] Algorithmics for hard problems: introduction to combinatorial optimization, randomization, approximation, and heuristics

J Hromkovič - 2013 - books.google.com
Algorithmic design, especially for hard problems, is more essential for success in solving
them than any standard improvement of current computer tech nologies. Because of this, the …

Approximation algorithms for time-dependent orienteering

FV Fomin, A Lingas - Information Processing Letters, 2002 - Elsevier
The time-dependent orienteering problem is dual to the time-dependent traveling salesman
problem. It consists of visiting a maximum number of sites within a given deadline. The …

The traveling salesman problem and its variations

J Monnot, S Toulouse - Paradigms of combinatorial …, 2014 - Wiley Online Library
This chapter retraces the joint history of operations research and the traveling salesman
problem. After presenting the problem, it proposes first exact then approximation algorithms …

On the hardness of reoptimization

HJ Böckenhauer, J Hromkovič, T Mömke… - SOFSEM 2008: Theory …, 2008 - Springer
We consider the following reoptimization scenario: Given an instance of an optimization
problem together with an optimal solution, we want to find a high-quality solution for a locally …

On the approximability of TSP on local modifications of optimally solved instances

HJ Böckenhauer, L Forlizzi, J Hromkovič… - Algorithmic Operations …, 2007 - erudit.org
Given an instance of TSP together with an optimal solution, we consider the scenario in
which this instance is modified locally, where a local modification consists in the alteration of …

Approximation algorithms for the traveling salesman problem

J Monnot, VT Paschos, S Toulouse - Mathematical methods of operations …, 2003 - Springer
We first prove that the minimum and maximum traveling salesman problems, their metric
versions as well as some versions defined on parameterized triangle inequalities (called …

Resource-competitive algorithms

MA Bender, JT Fineman, M Movahedi, J Saia… - ACM SIGACT …, 2015 - dl.acm.org
The point of adversarial analysis is to model the worst-case performance of an algorithm.
Unfortunately, this analysis may not always reect performance in practice because the …

Reusing optimal TSP solutions for locally modified input instances

HJ Böckenhauer, L Forlizzi, J Hromkovič… - Fourth IFIP International …, 2006 - Springer
Given an instance of an optimization problem together with an optimal solution, we consider
the scenario in which this instance is modified locally. In graph problems, eg, a singular …

[PDF][PDF] Approximation guarantees for max sum and max min facility dispersion with parameterised triangle inequality and applications in result diversification

M Sydow - Mathematica Applicanda, 2014 - bibliotekanauki.pl
Facility Dispersion Problem, originally studied in Operations Research, has recently found
important new applications in Result Diversification approach in information sciences. This …

[HTML][HTML] An improved approximation algorithm for the asymmetric TSP with strengthened triangle inequality

M Bläser, B Manthey, J Sgall - Journal of discrete algorithms, 2006 - Elsevier
We consider the asymmetric traveling salesperson problem with γ-parameterized triangle
inequality for γ∈[1/2, 1). That means, the edge weights fulfill w (u, v)⩽ γ⋅(w (u, x)+ w (x, v)) …