Abstract
An “intelligent front-end” or “logic assistant” is an interactive program devised to assist the users of an information retrieval system in the formulation of their queries. In order to provide knowledge usable in such a program, we study a problem of query optimization with an average efficiency criterion. We formulate it as a new combinatorial optimization problem, which we call 0-1 hyperbolic sum, and provide an exact branch-and-bound algorithm and two heuristics (of simulated annealing and tabu search type) to solve it. Computational experience illustrating the effectiveness of the tabu search technique is reported.
Similar content being viewed by others
References
E. Aarts and J. Korst,Simulated Annealing and Boltzmann Machines (Wiley, 1989).
R.E. Burkard and F. Rendl, A thermodynamically motivated simulation procedure for combinatorial optimization problems, Europ. J. Oper. Res. 17 (1984) 169–174.
V. Cerny, A thermodynamical approach to the Traveling Salesman problem: An efficient simulation algorithm, J. Optimization Theory Appl. 45 (1985) 41–51.
A. El Baamrani, Analyse the deux méthodes heuristiques: méthode de “recuit” et méthode de “plus grande descente-plus petite remontée”, B. Sc. Essay, Faculté Universitaire Catholique de Mons (supervised by P. Hansen) (1985).
F. Glover, Future paths for integer programming and links with artificial intelligence, Comput. Oper. Res. 13 (1986) 533–549.
F. Glover, Tabu search methods in artificial intelligence and operations research, ORSA Artificial Intell. Newsletter 1 (1987) 2–6.
F. Glover, Tabu search — Part I, ORSA J. Comput. 1 (1989) 190–206.
F. Glover, Tabu search — Part II, ORSA J. Comput. 2 (1990) 4–32.
F. Glover and H.J. Greenberg, New approaches for heuristic search: A bilateral linkage with artificial intelligence, Europ. J. Oper. Res. 39 (1989) 119–130.
P. Hansen, The steepest-ascent-mildest-descent heuristic for combinatorial programming, presentation at theConf. on Numerical Methods in Combinatorial Optimization, Capri, Italy (1986).
P. Hansen and B. Jaumard, Algorithms for the maximum satisfiability problem, Computing 44 (1990), in press.
P. Hansen, M.V. Poggi de Aragão and C.C. Ribeiro, Hyperbolic 0-1 programming and query optimization in information retrieval, to appear in Math. Programming Series B (1991).
M.H. Heine, A simple intelligent front-end for information retrieval systems using Boolean logic, Inform. Technol. 2 (1982) 247–260.
M.H. Heine, Information retrieval from classical databases from a signal detection stand point: A review, Inform. Technol. 3 (1984) 95–112.
M.H. Heine, Automatic optimization of search logic, contribution to theRound Table Workshop on Techniques for Access to Information and its Re-Use, Luxemburg (1986).
M.H. Heine, A logic assistant for the database researcher, Inform. Proc. Management 24 (1988) 323–329.
A. Hertz and D. de Werra, The tabu search metaheuristic — How we used it, Ann. Math. AI 1 (1990) 111–121.
S. Kirkpatrick, C.D. Gelatt and M.P. Vecchi, Optimization by simulated annealing, Science 220 (1983) 671–674.
M.V. Poggi de Aragão,Programação hiperbólica em variáveis 0-1 e otimização de consultas a bancos de dados bibliográficos, M. Sc. Dissertation, Catholic University of Rio de Janeiro, Rio de Janeiro, Brazil (1988).
M. Queyranne, private communication (1987).
G. Salton, A simple blueprint for automatic Boolean query processing, Inform. Proc. Management 24 (1988) 269–280.
D. Stephany, Localisation de postes en fonction du trafic interpostes, B. Sc. Essay, Faculté Universitaire Catholique de Mons (supervised by P. Hansen) (1986).
C.J. Van Rijsbergen, Foundation of evaluation, J. Documentation 30 (1974) 365–373.
Author information
Authors and Affiliations
Additional information
This research was done in part during a visit of the first author to the Pontifical Catholic University of Rio de Janeiro in July and August 1987, sponsored by CNPq. It was also supported in part by grants 0271 and 0066 of AFOSR to Rutgers University.
Rights and permissions
About this article
Cite this article
Hansen, P., Poggi de Aragão, M.V. & Ribeiro, C.C. Boolean query optimization and the 0-1 hyperbolic sum problem. Ann Math Artif Intell 1, 97–109 (1990). https://doi.org/10.1007/BF01531072
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01531072