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Example comparing two search algorithms. To look for "Morin, Arthur" in some ficitious participant list, linear search needs 28 checks, while binary search needs 5. Svg version: File:Binary search vs Linear search example svg.svg.
In computer science, linear search or sequential search is a method for finding an element within a list. It sequentially checks each element of the list until a match is found or the whole list has been searched. [1] A linear search runs in linear time in the worst case, and makes at most n comparisons, where n is the length of
In other words, for a given input size n greater than some n 0 and a constant c, the run-time of that algorithm will never be larger than c × f(n). This concept is frequently expressed using Big O notation. For example, since the run-time of insertion sort grows quadratically as its input size increases, insertion sort can be said to be of ...
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Specific applications of search algorithms include: Problems in combinatorial optimization, such as: . The vehicle routing problem, a form of shortest path problem; The knapsack problem: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as ...
The linear search problem was solved by Anatole Beck and Donald J. Newman (1970) as a two-person zero-sum game. Their minimax trajectory is to double the distance on each step and the optimal strategy is a mixture of trajectories that increase the distance by some fixed constant. [ 8 ]
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Lexicographic breadth-first search; Lifelong Planning A*; Linear hashing; Linear probing; Linear search; Linear-quadratic regulator rapidly exploring random tree; Locality-sensitive hashing; Look-ahead (backtracking)