# How to find length of transmission line for all possible configurations between 9 villages?

My dissertation is on designing transmission line using ArcGIS between 9 villages of Uttarakhand.

How can I find the length of transmission line for all possible configurations between all the villages?

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You will need to provide more details, such as will the lines follow roadways? Will it be a shortest distance configuration? There are endless possibilities given your current constraints. –  Dan Patterson May 12 '13 at 5:57
I agree with @DanPatterson that you should provide more details about the possible paths the transmission lines could follow. I suspect that you will need to be(come) familiar with origin-destination (OD) matrices and the travelling salesman problem (TSP). To use these methods in ArcGIS you will need access to the Network Analyst extension. –  PolyGeo May 12 '13 at 6:33

As stated the question seems to me that designing a transmission system from thin air with 9 subs is infeasable.
So assuming that the OP has some design in place and/or existing infrastructure is the only way I can see that there can be a solution.
That said some improvisation can be accomplished by assuming that the network will folow existing transportation. So another method to get many possibilities without the above,
would be to convert a. section lines, b road networks, etc into the transmission network.
On to my solution.

Create a field [type] and apply transmission values where appropriate.
Create a village/region/servicearea field and apply appropriate network areas to that.
make sure the coordinate system of the data is in a unit that you want your output to be in. (this just make the reporting easier.
For cursory project information you can...

Simply do a select type = transmission and village IN ('village_1', 'village_2', 'village_3').
Then open the attribute table, select the length field right click and choose statistics.
That would assume you have attributes you can use in that manner.
For more sofisticated output you will need to become more sofisticated in your design schema.
For instance to accomplish multiple scenarios you would need multiple designs between each hub or connection point.
To do this you might replace the transmission value with transmission option 1, 2 and so forth.
At that point you probably would want to start with something as mentioned above in the traveling salesman, redistricting tool esri
The next level would be to utilize full on network design tools with load capacity analyzation, ROW/easment access, and network editing/visualization tools.

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Could you please elaborate on (1) your interpretation of the question and (2) how this procedure answers it? –  whuber May 13 '13 at 14:18