4. Choose the true claim about the behavior of the A* search algorithm. (a) Uniform-cost search will never expand more nodes than A* search. (b) Depth-first search will always expand more nodes than breadth-first search. (c) Adding the same positive constant c to every transition cost never changes the shortest path found by the A* algorithm. (d) The heuristic h(n) = c(n), where c(n) is the true cheapest cost to get from the node n to the nearest goal

4. Choose the true claim about the behavior of the A* search algorithm. (a) Uniform-cost search will never expand more nodes than A* search. (b) Depth-first search will always expand more nodes than breadth-first search. (c) Adding the same positive constant c to every transition cost never changes the shortest path found by the A* algorithm. (d) The heuristic h(n) = c(n), where c(n) is the true cheapest cost to get from the node n to the nearest goal

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Heuristic System

The term heuristic is derived from the Greek word heurisko, which means “I find, discover”. Heuristics can be mental shortcuts or approaches designed from previous experiences. The main aim of the heuristic approach is to find a good enough solution to solve the problem. Test and mistake, rule of thumb, or an educated estimate are all examples of heuristics. These methods are sufficient for achieving an immediate, brief aim. When a heuristic is used in practice, it works as predicted. It can, however, produce systematic errors. Trial and error is an important heuristic that may be used in a variety of situations, from cross-linking nuts and bolts to determining the values of given input variables in mathematical puzzles. Additional hypotheses, visual illustrations, simplification, and forward or backward reasoning are all common heuristics in mathematics.

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Need the right answer among choices and also an explanation of the answer.

4. Choose the true claim about the behavior of the A* search algorithm.
(a) Uniform-cost search will never expand more nodes than A* search.
(b) Depth-first search will always expand more nodes than breadth-first search.
(c) Adding the same positive constant e to every transition cost never changes the shortest path found by
the A* algorithm.
(d) The heuristic h(n) = c(n), where c(n) is the true cheapest cost to get from the node n to the nearest goal
state, is admissible for every search problem.

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