Heuristic search methods

All of these methods currently utilize a search structure generally called the Heuristic Search Method. 

The nature of product-based library design lends itself naturally to the application of heuristic search methods such as simulated annealing and genetic algorithms. Several groups have published applications in the latter area, which has been recently reviewed. While all methods differ somewhat in their technical implementations of the different algorithms, by far the... 

In this section, a new heuristic search method is introduced for dividing space in the ALM algorithm. 

Partitioning of multi-dimensional space is a combinatorial problem There is no theoretical approach for it therefore, heuristic search methods are used (Takagi and Sugeno 1985). 

Consider k inputs (xi, Xj. .., Xi), and a single output fy) system. The algorithm of the new heuristic search method for this system is depicted in figure 4. 

This heuristic search method uses an appropriate criterion to select a variable for dividing and the median of data is used as the boundary for crisp dividing. Hence, the number of data points in the subspaces are equal. 

Since the presented new heuristic method (section 2.1) utilizes a complicated dividing method, the typical fuzzification methods are not compatible with it. Here, a new simple fuzzy modeling method is presented which is attimed to the heuristic search method. This fuzzy modeling method has been developed by Taheii Shahraiyni (2007). 

In this chapter heuristic search methods have been investigated in detail using four different objective functions and applied to three building typologies that have been modeled as linear behavior for simplicity, however these methods can also be applied nonlinear structures. 

Heuristic search methods using performance indices have the advantage to be practical and easy to implement and they can be applied both to linear and nonlinear stmctures. However there are some weaknesses in the methods ... 

In order to solve complex issues that are difficult or impossible to calculate, different search methods, for example, an enumerative search and a stochastic search, are employed. Enumerative search methods such as branch and bound and heuristic search are common approaches for solving optimisation problems. While branch and bound methods can guarantee an optimal solution, they require, in the worst case, exponential time. Heuristic search methods, on the other hand, need less computational resource but generally terminate at a local optimum (Fadlalla and Evans, 1995, 605). 

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