Abstract
This paper presents a multi-objective backbone guided search algorithm in order to optimize a bi-objective unconstrained binary quadratic programming problem. Our proposed algorithm consists of two main procedures which are hypervolume-based local search and backbone guided search. When the hypervolume-based local search procedure can not improve the Pareto approximation set any more, the backbone guided search procedure is applied for further improvements. Experimental results show that the proposed algorithm is very effective compared with the original multi-objective optimization algorithms.
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References
Alidaee, B., Kochenberger, G.A., Ahmadian, A.: 0-1 quadratic programming approach for the optimal solution of two scheduling problems. Int. J. Syst. Sci. 25, 401–408 (1994)
Alkhamis, T.M., Hasan, M., Ahmed, M.A.: Simulated annealing for the unconstrained binary quadratic pseudo-boolean function. Eur. J. Oper. Res. 108, 641–652 (1998)
Amini, M., Alidaee, B., Kochenberger, G.: A scatter search approach to unconstrained quadratic binary programs. In: Cone, D., Dorigo, M., Glover, F. (eds.) New Methods in Optimization, pp. 317–330. McGraw-Hill, New York (1999)
Basseur, M., Zeng, R.-Q., Hao, J.-K.: Hypervolume-based multi-objective local search. Neural Comput. Appl. 21(8), 1917–1929 (2012)
Coello, C.A., Lamont, G.B., Van Veldhuizen, D.A.: Evolutionary Algorithms for Solving Multi-objective Problems (Genetic and Evolutionary Computation). Springer, New York (2006)
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6, 182–197 (2000)
Gallo, G., Hammer, P., Simeone, B.: Quadratic knapsack problems. Math. Program. 12, 132–149 (1980)
Garey, M.R., Johnson, D.S.: Computers and intractability: A guide to the theory of NP-completeness. Freeman, New York, USA (1978)
Glover, F., Kochenberger, G., Alidaee, B.: Adaptive memory tabu search for binary quadratic programs. Manage. Sci. 44, 336–345 (1998)
Kochenberger, G., Hao, J.-K., Glover, F., Lewis, M., Lü, Z., Wang, H., Wang, Y.: The unconstrained binary quadratic programming problem: a survey. J. Comb. Optim. 28, 58–81 (2014)
Krarup, J., Pruzan, A.: Computer aided layout design. Math. Program. Study 9, 75–94 (1978)
Liefooghe, A., Verel, S., Hao, J.-K.: A hybrid metaheuristic for multiobjective unconstrained binary quadratic programming. Appl. Soft Comput. 16, 10–19 (2014)
Liefooghe, A., Verel, S., Paquete, L., Hao, J.-K.: Experiments on local search for bi-objective unconstrained binary quadratic programming. In: Gaspar-Cunha, A., Henggeler Antunes, C., Coello, C.C. (eds.) EMO 2015. LNCS, vol. 9018, pp. 171–186. Springer, Heidelberg (2015)
Lü, Z., Glover, F., Hao, J.-K.: A hybrid metaheuristic approach to solving the UBQP problem. Eur. J. Oper. Res. 207, 1254–1262 (2010)
Merz, P., Freisleben, B.: Genetic algorithms for binary quadratic programming. In: Proceedings of the 1st International Conference on Genetic and Evolutionary Computation Conference (GECCO 1999), Orlando, Florida, USA, pp. 417–424 (1999)
Merz, P., Katayama, K.: Memetic algorithms for the unconstrained binary quadratic programming problem. Biosystems 78, 99–118 (2004)
Wang, Y., Lü, Z., Glover, F., Hao, J.-K.: Path relinking for unconstrained binary quadratic programming. Eur. J. Oper. Res. 223, 595–604 (2012)
Wang, Y., Lü, Z.P., Glover, F., Hao, J.K.: Backbone guided tabu search for solving the UBQP problem. J. Heuristics 19, 679–695 (2013)
Wilbaut, C., Salhi, S., Hanafi, S.: An iterative variable-based fixation heuristic for the 0-1 multidimensional knapsack problem. Eur. J. Oper. Res. 199(2), 339–348 (2009)
Zhang, W.: Configuration landscape analysis and backbone guided local search. Part 1: satisfiability and maximum satisfiability. Artif. Intell. 158, 1–26 (2004)
Zitzler, E., Künzli, S.: Indicator-based selection in multiobjective search. In: Yao, X., Burke, E.K., Lozano, J.A., Smith, J., Merelo-Guervós, J.J., Bullinaria, J.A., Rowe, J.E., Tiňo, P., Kabán, A., Schwefel, H.-P. (eds.) PPSN 2004. LNCS, vol. 3242, pp. 832–842. Springer, Heidelberg (2004)
Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: improving the strength Pareto evolutionary algorithm for multiobjective optimization. TIK Report 103, Computer Engineering and Networks Laboratory (TIK), ETH Zurich, Zurich, Switzerland (2001)
Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: a comparative case study and the strength pareto approach. Evol. Comput. 3, 257–271 (1999)
Acknowledgment
The work in this paper was supported by the Fundamental Research Funds for the Central Universities (Grant No. A0920502051408-25), supported by the Research Foundation for International Young Scientists of China (Grant No. 61450110443), supported by the Scientific Research Foundation for the Returned Overseas Chinese Scholars (Grant Nos. 2015S03007), supported by National Natural Science Foundation of China (Grant No. 61370150, 61433014 and 71501157) and supported by West Light Foundation of Chinese Academy of Science (Grant No: Y4C0011001). The authors would like to thank the anonymous referees for their valuable comments and suggestions.
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Xue, LY., Zeng, RQ., Wang, Y., Shang, MS. (2016). Solving Bi-objective Unconstrained Binary Quadratic Programming Problem with Multi-objective Backbone Guided Search Algorithm. In: Huang, DS., Jo, KH. (eds) Intelligent Computing Theories and Application. ICIC 2016. Lecture Notes in Computer Science(), vol 9772. Springer, Cham. https://doi.org/10.1007/978-3-319-42294-7_66
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