Parallel Local Search on GPU

www.lifl.fr/~luongLocal search algorithms are a class of algorithms to solve complex optimization problems in science and industry. Even if these metaheuristics allow to significantly reduce the computational time of the solution exploration space, the iterative process remains costly when very large problem instances are dealt with. As a solution, graphics processing units (GPUs) represent an efficient alternative for calculations instead of traditional CPU. This paper presents a new methodology to design and implement local search algorithms on GPU. Methods such as tabu search, hill climbing or iterated local search present similar concepts that can be parallelized on GPU and then a general cooperative model can be highlighted. In addition to single-solution based metaheuristics on GPU, this model can be extended with a hybrid multi-core and multi-GPU approach for multiple local search methods such as multistart. The conclusions from both GPU and multi-GPU experiments indicate significant speed-ups compared to CPU approaches

Annealing evolutionary parallel algorithm analysis of optimization arrangement on mistuned blades with non-linear friction

This paper sets up a lumped parameter model of engine bladed disk system when considering the nonlinear friction damping based on mistuned parameters which is obtained from the blade modal experiment. A bladed arrangement optimization method, namely annealing evolutionary algorithm with tabu list is presented which combines the local search ability of SA (simulated annealing) and the global searching ability of GA (genetic algorithm) introducing tabu list as the search memory list. Parallel TAEA (tabu annealing evolutionary algorithm) is presented based on CUDA (Compute Unified Device Architecture) combining GPU (Graphics Processing Unit) and its performance is analyzed. The results show that optimization based on CUDA framework can improve computing speed. At the same time using optimization results can reduce the amplitude of forced vibration response of bladed disk system and make it in the range of allowable engineering

Solving the Uncapacitated Single Allocation p-Hub Median Problem on GPU

A parallel genetic algorithm (GA) implemented on GPU clusters is proposed to solve the Uncapacitated Single Allocation p-Hub Median problem. The GA uses binary and integer encoding and genetic operators adapted to this problem. Our GA is improved by generated initial solution with hubs located at middle nodes. The obtained experimental results are compared with the best known solutions on all benchmarks on instances up to 1000 nodes. Furthermore, we solve our own randomly generated instances up to 6000 nodes. Our approach outperforms most well-known heuristics in terms of solution quality and time execution and it allows hitherto unsolved problems to be solved

Multi-start local search algorithms on GPU

International audienceIn practice, combinatorial optimization problems are complex and computationally time-intensive. Even if local search (LS) algorithms allow to significantly reduce the computation time cost of the solution exploration space, the use of parallelism is required to accelerate the search process. Indeed, LSs are inherently parallel and three parallel models are often used to solve efficiently large combinatorial problems: algorithmic-level (multi-start model), iteration-level (parallel evaluation of the neighborhood), and the solution-level (parallel evaluation of a single solution). The main objective of this paper is to deal with the algorithmic-level on GPU architectures where many LSs are executed in parallel. More exactly, we propose to study different schemes of deployment for the design of multi-start LSs on GPU based on popular hill climbing (HC), simulated annealing (SA) and tabu search (TS)

A GPU-based Iterated Tabu Search for Solving the Quadratic 3-dimensional Assignment Problem

International audienceThe quadratic 3-dimensional assignment problem (Q3AP) is an extension of the well-known NP-hard quadratic assignment problem. It has been proved to be one of the most difficult combinatorial optimization problems. Local search (LS) algorithms are a class of heuristics which have been successfully applied to solve such hard optimization problem. These methods handle with a single solution iteratively improved by exploring its neighborhood in the solution space. In this paper, we propose an iterated tabu search for solving the Q3AP. The design of this algorithm is essentially based on a new large neighborhood structure. Indeed, in LS heuristics, designing operators to explore large promising regions of the search space may improve the quality of the obtained solutions. However, designing such neighborhood is at the expense of a highly computationally process. Therefore, the use of graphics processing units (GPUs) provides an efficient complementary way to speed up the search. The proposed GPU-based iterated tabu search has been experimented on 5 different Q3AP instances. The obtained results are convincing both in terms of efficiency, quality and robustness of the provided solutions at run time

GPU-accelerated Parallel Solutions to the Quadratic Assignment Problem

The Quadratic Assignment Problem (QAP) is an important combinatorial optimization problem with applications in many areas including logistics and manufacturing. QAP is known to be NP-hard, a computationally challenging problem, which requires the use of sophisticated heuristics in finding acceptable solutions for most real-world data sets. In this paper, we present GPU-accelerated implementations of a 2opt and a tabu search algorithm for solving the QAP. For both algorithms, we extract parallelism at multiple levels and implement novel code optimization techniques that fully utilize the GPU hardware. On a series of experiments on the well-known QAPLIB data sets, our solutions, on average run an order-of-magnitude faster than previous implementations and deliver up to a factor of 63 speedup on specific instances. The quality of the solutions produced by our implementations of 2opt and tabu is within 1.03% and 0.15% of the best known values. The experimental results also provide key insight into the performance characteristics of accelerated QAP solvers. In particular, the results reveal that both algorithmic choice and the shape of the input data sets are key factors in finding efficient implementations.Comment: 25 pages, 9 figures; parts of this work appeared as short papers in XSEDE14 and XSEDE15 conferences. This version of the paper is a substantial extension of previous work with optimizations for newer GPU platforms and extended experimental result