Code modified dijkstra algorithm to search from start node

Assignment Help Data Structure & Algorithms

Reference no: EM132147904

Assignment - Dijkstra Algorithm

Dijkstra's algorithm finds the shortest path from a given node to all other nodes.

1) We observe that we can modify this algorithm to stop as soon as a particular node is reached; thus producing an algorithm to find the shortest path between a specific pair of points. However, this algorithm may involve the consideration of a number of points which do not lie on the final shortest path.

We now consider 2 alternatives:

2) We can modify the algorithm to add nodes to the solution based on an A* criterion derived from the Euclidean (straight line) distance from each candidate node to the desired end node.

3) We can attempt to improve our efficiency by modifying Dijkstra's algorithm to start at both the source and destination nodes and to construct two partial solution trees in parallel until one node is in both partial solution trees.

Your task is to:

1. Code the modified Dijkstra's algorithm to search from the start node out.

2. Code the A* variant.

3. Code the proposed improved algorithm.

Input consists of the following data:

1) The number of nodes in the graph.

2) A set of triples containing the node number, its X-coordinate and its Y coordinate - one triple for each node in the graph.

3) The number of edges in the graph.

4) A set of triples consisting of two node numbers and a cost - one triple for each edge in the graph.

5) A pair of node numbers representing the start and end nodes between which a path must be found.

Output consists of the following data:

The length of the shortest path from solution 1:
The path (ordered list of nodes) from solution 1:
The number of additional nodes in the solution tree for solution 1 (those not in the shortest path that were added to the selected set):
The length of the shortest path from solution 2:
The path (ordered list of nodes) from solution 2:
The number of additional nodes in the solution tree for solution2 (those not in the shortest path that were added to the selected set):
The length of the shortest path from solution 3:
The path (ordered list of nodes) from solution 3:
The number of additional nodes in the solution tree for solution 3 (those not in the shortest path that were added to the selected set).

Notes: The graph is undirected, so each edge connects the pair of nodes specified in both directions. Do not use the STL.

The graph will not have more than 100 nodes.

Your program should print an appropriate error message if no path exists between the specified nodes.

Programs must compile and run under gcc (C programs), g++ (C++ programs), java or python.

Programs which do not compile and run will receive no marks. Programs should be appropriately documented with comments.

In addition to the source file ass3.c or ass3.cpp you should also submit a text file containing a brief discussion of your results. You should talk about the relative efficiency of each of the three proposed approaches and note any problems that may arise with each of them.

Attachment:- Assignment Files.rar

Reference no: EM132147904

Questions Cloud

Pseudo code or a flowchart of your program : List above contains 26 fruits, each one with a name that begins with a different letter of the alphabet.

Which characteristics or approaches demonstrated by person : Which characteristics or approaches demonstrated by this person would you integrate into your own leadership style? Which ones would you prefer not to integrate

What data management considerations : What data management considerations must be reviewed to ensure success for both companies and assure regulatory compliance

Identify the given with a high risk of falling : Falls are one of the major causes of mortality and morbidity in older adults. Every year, an estimated 30-40% of patients over the age of 65 will fall at least.

Code modified dijkstra algorithm to search from start node : Assignment - Dijkstra Algorithm - Your task is to Code the modified Dijkstra's algorithm to search from the start node out

Determining the big-oh notation for the algorithm : What steps are required in determining the Big-Oh notation for the algorithm when sorting an array of integers

Troubleshoot reduced speed or latency : What are some other ways to troubleshoot reduced speed or latency? Or to find out what is using all the bandwidth? Perhaps might incorporate parts

Create an organizational culture in which employee feel safe : Create an organizational culture in which employees feel safe admitting or reporting on failure.

Discuss three concepts that you learned during the course : Advanced practice nurses should be able to critique, evaluate, and use theory. They should be able to integrate and apply a wide range of theories from nursing.

User Account

All Pages