TY - JOUR

T1 - SL method for computing a near-optimal solution using linear and non-linear programming in cost-based hypothetical reasoning

AU - Ishizuka, M.

AU - Matsuo, Y.

PY - 2002/9/1

Y1 - 2002/9/1

N2 - Hypothetical reasoning is an important framework for knowledge-based systems, however, its inference time grows exponentially with respect to problem size. In this paper, we present an understandable efficient method called slide-down and lift-up (SL) method which uses a linear programming technique for determining an initial search point and a non-linear programming technique for efficiently finding a near-optimal 0-1 solution. To escape from trapping into local optima, we have developed a new local handler, which systematically fixes a variable to a locally consistent value. Since the behavior of the SL method is illustrated visually, the simple inference mechanism of the method can be easily understood.

AB - Hypothetical reasoning is an important framework for knowledge-based systems, however, its inference time grows exponentially with respect to problem size. In this paper, we present an understandable efficient method called slide-down and lift-up (SL) method which uses a linear programming technique for determining an initial search point and a non-linear programming technique for efficiently finding a near-optimal 0-1 solution. To escape from trapping into local optima, we have developed a new local handler, which systematically fixes a variable to a locally consistent value. Since the behavior of the SL method is illustrated visually, the simple inference mechanism of the method can be easily understood.

KW - Hypothetical reasoning

KW - Linear programming

KW - Non-linear programming

UR - http://www.scopus.com/inward/record.url?scp=0036722349&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036722349&partnerID=8YFLogxK

U2 - 10.1016/S0950-7051(02)00020-5

DO - 10.1016/S0950-7051(02)00020-5

M3 - Article

AN - SCOPUS:0036722349

VL - 15

SP - 369

EP - 376

JO - Knowledge-Based Systems

JF - Knowledge-Based Systems

SN - 0950-7051

IS - 7

ER -