What is he best known for?
The fields of study he is best known for:
- Mathematical optimization
- Algorithm
- Combinatorics
His main research concerns Mathematical optimization, Tabu search, Metaheuristic, Combinatorial optimization and Travelling salesman problem.
The various areas that Alain Hertz examines in his Mathematical optimization study include Routing, Vehicle routing problem and Algorithm.
His work carried out in the field of Routing brings together such families of science as Set and Descent algorithm.
His Tabu search research is multidisciplinary, relying on both Graph coloring, Local search, Bounded function and Benchmark.
His work in Metaheuristic tackles topics such as Optimization problem which are related to areas like Local optimum, Global optimization and Complex system.
Operations research is closely connected to Scheduling in his research, which is encompassed under the umbrella topic of Combinatorial optimization.
His most cited work include:
- A tabu search heuristic for the vehicle routing problem (1035 citations)
- Using tabu search techniques for graph coloring (541 citations)
- Ants can colour graphs (478 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Combinatorics, Discrete mathematics, Mathematical optimization, Tabu search and Graph coloring.
His research integrates issues of Vehicle routing problem and Scheduling, Job shop scheduling in his study of Mathematical optimization.
The study incorporates disciplines such as Column generation, Benchmark, Heuristic and Operations research in addition to Tabu search.
Alain Hertz interconnects Orienteering and Integer programming in the investigation of issues within Operations research.
The concepts of his Heuristics study are interwoven with issues in Algorithm, Travelling salesman problem, Set and Arc routing.
His Fractional coloring research incorporates elements of Edge coloring, List coloring and Vertex.
He most often published in these fields:
- Combinatorics (46.67%)
- Discrete mathematics (26.27%)
- Mathematical optimization (24.71%)
What were the highlights of his more recent work (between 2013-2021)?
- Combinatorics (46.67%)
- Discrete mathematics (26.27%)
- Graph (11.76%)
In recent papers he was focusing on the following fields of study:
Alain Hertz mainly investigates Combinatorics, Discrete mathematics, Graph, Vertex and Vertex.
His Discrete mathematics research incorporates themes from Algorithm and Integer programming.
In his study, Set and Heuristics is inextricably linked to Metric dimension, which falls within the broad field of Algorithm.
His study on Vertex also encompasses disciplines like
- Bell number which intersects with area such as Bound graph, Chromatic polynomial and Graph theory,
- Conjecture and related Value and Graph property.
His studies in Directed graph integrate themes in fields like Tabu search, Shortest path problem, Planar graph and Real number.
His research on Mathematical optimization focuses in particular on Branch and price.
Between 2013 and 2021, his most popular works were:
- The split delivery capacitated team orienteering problem (18 citations)
- Directed weighted improper coloring for cellular channel allocation (12 citations)
- Dominating induced matchings in graphs containing no long claw (9 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Algorithm
- Mathematical optimization
His primary areas of investigation include Combinatorics, Discrete mathematics, Graph, Vertex and Vertex.
His Combinatorics study frequently draws connections to other fields, such as Set.
His work deals with themes such as Algorithm, Upper and lower bounds and Heuristics, which intersect with Discrete mathematics.
His Graph research includes themes of Open problem, Steiner tree problem and Open case.
His Vertex study integrates concerns from other disciplines, such as Bell number, Branch and price and Integer sequence.
His Mathematical optimization study is mostly concerned with Tabu search and Integer programming.
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