Problem Reduction AO* Algorithm | AND OR GRAPH

Problem Reduction AO* Algorithm with AND OR GRAPH

AO * algorithm

  •  A * can be computer algorithms used in pilot and graph traversal. It is used in the method of plotting an efficient guided path between several points called nodes.
  • In the AN * algorithmic rule, you cross the tree deeply and keep on moving forward and add the overall value of reaching the target position from the current situation and add it to the value of reaching the present position.

AO * algorithm

  • In AO * algorithms, you follow the same method, though there are obstacles to cross specific approaches.
  • Once you cross those paths, then the value of all the paths arising from the previous node is added to that level where you search for the targeted position, despite the actual reality, Move.


So far, we have thought about the search methods for the graph, through which we want to find a way to a goal. This kind of structure represents the real fact that we all know one way to go from the anode to the goal position if we are told in a situation where the nodes with the effort of the branches will be explained.

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AND – OR Graph

AND - OR graph.
AND – OR graph


  • Let G be the graph only with the introduction of the node INIT.
  • Repeat follow-up until insertion of INIT to Solvi or H (INIT)> property.

A) Select the node suddenly from the path leading to INIT (it is called NODE)
B) Generate the successor of NODE. If none, then set NODE = futility (i.e. NODE is unsuccessful); Otherwise, each SUCCESSOR which is not for ancestors of NODE, do the following:
ii. If SUCCESSOR can be a terminal node, then resolve it and set HK (SUCCESSOR) = NULL.
iii. If SUCCESSPR is not a terminal node, calculate it
C) Promote the recently discovered information of the graph by searching the following: S should have a set of salt nodes or nodes whose H values have been modified and their parents are required to return the values… S repeat follows up follow-up until S is empty:
I remove the node from the sand turns it on.
ii. Calculate the value of each arc emerging from it. Assign the minimum value of your successor to HK
iii. Mark this route by marking the minimum value arch in step ii-iv. All nodes related to the new labelled arc are fixed, then mark it as current
v. If it is labelled solver or its value has just been modified, then broadcast your new value through the graph. So add all the ancestors of S. to S.

AND – OR graph

AND - OR graph
AND – OR graph

In shape (A) the top node A has been expanded to produce 2 areas which are moving towards B and moving towards the C-D. The numbers on each node represent the value of F on it (the value of reaching the target position from the current position). For simplicity, it is believed that each operation (i.e. implementing a rule) is the cost, i.e., with each successor, the value of each component of each component. With the information available so far, it seems that C is the most promising node extended since F ‘= three, but going through B is best than using C, we use D and value nine Also get (3 + 4 + 1 + 1). It will be 6 (5 + 1) through B

To expand it, the selection of the next node depends not only on one value, although the node is that the initial mode of the current best path. Figure (B) makes it clear. The node within the form appears to be the most promising node with at least F value. But to use the GG is not on the current beat path, Problem Reduction AO Algorithm we should always use GH with the value of nine, then it is demanding that the arc is used (with the value of 27). The route of A to B, E-F is best with the full value (17 + one = 18). During this method, we will see that the following 3 things should be completed to see AN & G graph.

  1. Cross the graph beginning with the initial node and follow the current best path, and submit the set of nodes present on the path and has not yet been extended.

  2. Select one of these amazing nodes and extend it. Add them to your successor graph and PCF (the cost of remaining distance).

  3. Change the ‘F estimate’ of the new expanded node to reflect the new information made by your successor. Boost this revision backwards through the graph. Verify the current best path.

Modified value estimation is not required in the tree * A * algorithm. It may {be} because the extended nodes are again tested within the AO * algorithm so that the current best path can be selected. The work of AO * Formula is shown in the image as follows:

Referring to the figures, The initial node is expanded and D is initially marked because of the node. D Another command E-F production has been expanded. Problem Reduction AO Algorithm the value of the FD has been updated to ten. By going backwards, we will see that finishing Arch B-C is best. It is currently marked because of the current best route. B and C should be carried forward. This method continues till all the methods have no answer or cause of dead ends, it shows that there is no answer. The AA algorithm is always the lowest cost from one node to the opposite and it is freelance of the path through the opposite nodes.

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The algorithm for doing another horizontal search of the graph is given below. Not like A * algorithm that opens and closes 2 lists, the AO algorithm uses the same structure. The GG represents a portion of the search graph generated from this point. Each node reaches its immediate successor and its immediate predecessors Problem Reduction AO Algorithm, in addition to the value of the cost of the path during the set of nodes of the answer. The price of getting the current node “live” from the starting node is not kept within the A * formula.

As a result of being out of the question to calculate such worth, it may {be} possible as a result there may be several methods within the same state. The AO * algorithm predicts the goodness of the node. Apart from this, the value referred to as useless should be used. If the calculation of the answer is beyond the qualified cost then the inventions are left too big to be practical.

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