[图书][B] Combinatorial optimization
BH Korte, J Vygen, B Korte, J Vygen - 2011 - Springer
Let us start with two examples. A company has a machine which drills holes into printed
circuit boards. Since it produces many of these boards it wants the machine to complete one …
circuit boards. Since it produces many of these boards it wants the machine to complete one …
Local search heuristic for k-median and facility location problems
In this paper, we analyze local search heuristics for the k-median and facility location
problems. We define the\em locality gap\/of a local search procedure as the maximum ratio …
problems. We define the\em locality gap\/of a local search procedure as the maximum ratio …
[图书][B] Handbook of approximation algorithms and metaheuristics
TF Gonzalez - 2007 - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …
Greedy facility location algorithms analyzed using dual fitting with factor-revealing LP
In this article, we will formalize the method of dual fitting and the idea of factor-revealing LP.
This combination is used to design and analyze two greedy algorithms for the metric …
This combination is used to design and analyze two greedy algorithms for the metric …
A new greedy approach for facility location problems
We present a simple and natural greedy algorithm for the metric uncapacitated facility
location problem achieving an approximation guarantee of 1.61. We use this algorithm to …
location problem achieving an approximation guarantee of 1.61. We use this algorithm to …
Improved approximation algorithms for the uncapacitated facility location problem
FA Chudak, DB Shmoys - SIAM Journal on Computing, 2003 - SIAM
We consider the uncapacitated facility location problem. In this problem, there is a set of
locations at which facilities can be built; a fixed cost fi is incurred if a facility is opened at …
locations at which facilities can be built; a fixed cost fi is incurred if a facility is opened at …
Designing the distribution network of essential items in the critical conditions of earthquakes and COVID-19 simultaneously
Current societies must make the necessary plans for effective responses and to reduce the
destructive effects of disasters. For this reason, this research has developed a mathematical …
destructive effects of disasters. For this reason, this research has developed a mathematical …
Approximation algorithms for metric facility location problems
In this paper we present a 1.52-approximation algorithm for the metric uncapacitated facility
location problem, and a 2-approximation algorithm for the metric capacitated facility location …
location problem, and a 2-approximation algorithm for the metric capacitated facility location …
Improved combinatorial algorithms for facility location problems
We present improved combinatorial approximation algorithms for the uncapacitated facility
location problem. Two central ideas in most of our results are cost scaling and greedy …
location problem. Two central ideas in most of our results are cost scaling and greedy …