Dr. Daniel KarapetyanGoogle Scholar Webpage (publications, h-index, etc.) Research Interests
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GTSP Instance Library
The GTSP Instances Library is a collection of de facto standard test instances used in computational experiments in many GTSP related publications. The library aims at providing the instances in a convenient form and to keep track of the best solutions found for each of these problems.
Bipartite Unconstrained 0-1 Quadratic Programming Problem
The Bipartite Unconstrained 0-1 Quadratic Programming Problem is a generalization of the well-known Unconstrained 0-1 Quadratic Programming Problem. It has numerous applications in graph theory, matrix factorization, etc. Although the problem is widely mentioning in literature, neither polynomially solvable cases nor heuristic approaches were thoroughly investigated before. We addressed these two subjects and achieved significant results in both cases.
Ferry Routing and Scheduling
The project aimed at finding an optimal fleet configuration for a large ferry company. It was focused of a group of 7 islands to support a major capital investment decision. For each fleet configuration, it was required to produce a set of schedules that would minimize the operating cost and maximize passenger satisfaction.
Because of a high number of constraints and sophisticated objective, ferry routing and scheduling is a hard combinatorial optimization problem, and only a few studies of it were conducted in the past. We proposed two approaches, namely a hybrid evolutionary algorithm and a mixed integer programming formulation, that were able to yield cost efficient ferry schedules of a given level of service in a reasonable time.
Satellite Mission Planning
In the first part of this project, we addressed the satellite downlink scheduleing problem. The data downlinking can be the bottleneck of a satellite's performance. In this project, we formulated the satellite downlink scheduling problem as a constrained parallel machine scheduling problem and proposed an efficient heuristic algorithm to solve this class of problems. In our case study, computational experiments showed that the proposed heuristic clearly outperforms currently implemented algorithms and reaches near-optimal solutions (this was proven by means of a mixed integer program) in less than a minute for any of our benchmark instances.
In the second part of the project, we focused on image acquisition scheduling for a satellite constellation. The existing literature on the subject cannot be applied to our case study problem and, thus, we develop new models and solution techniques to produce near-optimal schedules in a limited time.
From 2011. Postdoctoral Fellow at Simon Fraser University, Department of Mathematics.
2007-2010. PhD at Roayl Holloway, University of London, Department of Computer Science.
2001-2007. BSc and MSc (6 years course) at Bauman Moscow State Technical University.
Heuristic algorithms for the bipartite unconstrained 0-1 quadratic programming problem.
Submitted.
Download from arXiv. Extra tables. Small instances (56 Kb). Moderate instances (11 Mb). Large instances (260 Mb). Best known solutions (52 Kb).
The bipartite unconstrained 0-1 quadratic programming problem: polynomially solvable cases.
Submitted.
An ejection-chain heuristic for the satellite downlink scheduling problem: A case study with RADARSAT-2.
Submitted.
A reduced integer programming model for the ferry scheduling problem.
To appear in Public Transport.
An efficient hybrid ant colony system for the generalized traveling salesman problem.
Algorithmic Operations Research 7, pages 22-29, 2012.
Efficient local search algorithms for known and new neighborhoods for the generalized traveling salesman problem.
European Journal of Operational Research 219(2), pages 234-251, 2012.
A new approach to population sizing for memetic algorithms: A case study for the multidimensional assignment problem.
Evolutionary Computation 19(3), pages 345-371, 2011.
Lin-Kernighan heuristic adaptation for the generalized traveling salesman problem.
European Journal of Operational Research 208(3), pages 221-232, 2011.
Local search heuristics for the multidimensional assignment problem.
Journal of Heuristics 17(3), pages 201-249, Springer 2011.
A memetic algorithm for the generalized traveling salesman problem.
Natural Computing 9(1), pages 47-60, Springer 2010.
Go to the official webpage. Download from arXiv.
Download full source codes. The instances are provided in the GTSP Instances Library.
FPT algorithms in analysis of heuristics for extracting networks in linear programs.
In Proc. of the 4th International Workshop on Parameterized and Exact Computation, IWPEC 2009, Lecture Notes Comp. Sci. 5917, pages 222-233, Springer 2009.
A memetic algorithm for the multidimensional assignment problem.
In Proc. of Stochastic Local Search '09 in Brussels, Lecture Notes Comp. Sci. 5752, pages 125-129, Springer 2009.
Generalized traveling salesman problem reduction algorithms.
Algorithmic Operations Research 4, pages 144-154, 2009.
A selection of useful theoretical tools for the design and analysis of optimization heuristics.
Memetic Computing 1(1), pages 25-34, Springer 2009.
Local search heuristics for the multidimensional assignment problem.
In Proc. of Graph Theory 2008 in Haifa, Lecture Notes Comp. Sci. 5420, pages 100-115, Springer 2009.
Empirical evaluation of construction heuristics for the multidimensional assignment problem.
In Proc. London Algorithmics 2008: Theory and Practice, eds: J. Chan, J. W. Daykin, M. S. Rahman. Texts in Algorithmics 11, pages 107-122, College Publications, 2009.
Greedy like algorithms for the traveling salesman and multidimensional assignment problems.
Chapter in Advances in Greedy Algorithms, pages 291-304, IN-TECH 2008.
Memetic algorithm for the generalized asymmetric traveling salesman problem.
In Proc. NICSO 2007, Studies in Computational Intelligence 129, pages 199-210, Springer 2008.
An algorithm for the satellite downlink scheduling problem.
CORS 2012: 11-13 June 2012, Niagara Falls, Ontario, Canada.
Also presented at a seminar in MDA Corporation on 13 Nov 2012.
Efficient local search algorithms for known and new neighborhoods for the generalized traveling salesman problem.
Operations Research Seminar: 9 February 2012, Vancouver, Canada.
A memetic algorithm for the multidimensional assignment problem.
SLS'09: 3-5 September 2009, Brussels, Belgium.
A memetic algorithm for the multidimensional assignment problem.
20th PCC: 22-24 June 2009, London, UK.
Local search heuristics for the multidimensional assignment problem.
ECCO XXII: 15-17 May 2009, Jerusalem, Israel.
Email:
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