Consistent heuristic function - graph search, Data Structure & Algorithms

Assignment Help:

Consistent Heuristic Function - Graph Search

Recall the notions of consistency and admissibility for an A* search heuristic.

a. Consider a graph with four nodes S, A, B, C, and G, and with four edges SA, SB, BA, AC, and CG. Write down positive edge lengths and values of an admissible heuristic function h such that using A* with Graph-Search (as given in the lectures) to find a route from S to G gives a suboptimal solution. In other words, construct an admissible heuristic that is not consistent.

b. Prove that any consistent heuristic function that is also admissible.

[Hint: use induction on the number of nodes in the shortest path between a node and a goal.]


Related Discussions:- Consistent heuristic function - graph search

Traversing a graph, two standards ways of traversing a graph in data struc...

two standards ways of traversing a graph in data structure

Implementation of queue by using a single linked list, Q. Perform implement...

Q. Perform implementation of a queue using a singly linked list L. The operations INSER and DELETE should take O (1) time.

Create a binary tree , Create a class "box" that will contain a random inte...

Create a class "box" that will contain a random integer value v such that O

Compound interest, Write the algorithm for compound interest

Write the algorithm for compound interest

Nothing, c++ To calculate the amount to be paid by a customer buying yummy ...

c++ To calculate the amount to be paid by a customer buying yummy cupcakes for his birth day party

What is diffuse illumination, Diffuse Illumination Diffuse illuminatio...

Diffuse Illumination Diffuse illumination means light that comes from all directions not from one particular source. Think about the light of a grey cloudy day as compared to

Entity relationship diagram, This question is based on the requirements of ...

This question is based on the requirements of a system to record band bookings at gigs. (A 'gig' is an event at which one or more bands are booked to play). You do not need to know

Two-dimensional array, Two-dimensional array is shown in memory in followin...

Two-dimensional array is shown in memory in following two ways:  1.  Row major representation: To achieve this linear representation, the first row of the array is stored in th

Representation of arrays?, A representation of an array structure is a mapp...

A representation of an array structure is a mapping of the (abstract) array with elements of type T onto the store which is an array with elements of type BYTE. The array could be

Representation of arrays, REPRESENTATION OF ARRAYS This is not uncommon...

REPRESENTATION OF ARRAYS This is not uncommon to determine a large number of programs which procedure the elements of an array in sequence. However, does it mean that the eleme

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd