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About Chemical Reaction Optimization
Optimization is prevalent in almost every field of science and engineering, ranging from profit maximization in economics to signal interference minimization in electrical engineering. In our daily lives, we also encounter various optimization problems, such as finding the quickest route from one place to another, at minimum cost, and minimizing the construction costs of building facilities in a city, while, at the same time, avoiding congestion of human flow among such facilities. Optimization refers to the study of problems in which one seeks to optimize (either minimize or maximize) the result by systematically choosing the values of the variables in feasible regions. We normally define an optimization problem with several components: an objective function f, a vector of variables X = {x1, x2, . . . , xn}, and a vector of constraints C = {c1, c1, . . . , cm} which limit the values assigned to X, where n and m correspond to the problem dimensions and the total number of constraints, respectively. We define a solution s as the set of values assigned to X confined by C, and the solution space S as the set of all possible solutions. For minimization problems, our goal is to find the minimum solution s’∈ S where f (s’) ≤ f (s) for all s. What we need to do is to search the solution space and pick out solution points sequentially. Then one evaluates the objective function value of each solution point. An optimization method (i.e., algorithm) tells us which point should be picked from the current solution. We can get one, or multiple, points in an instance, depending on how the algorithm operates.
Detailed Information
| Author: | ['Kunal Yadav'] |
|---|---|
| Publication Year: | 2014 |
| Pages: | 15 |
| Language: | English |
| Format: | |
| Price: | FREE |
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