Hi,

I've also been investigating this sort of work over the last two weeks and have 
largely come to the same conclusion. I don't think there is a way to do it 
directly at present without a chargeable plugin but I can't help but feel that 
it might be possible to create a processing toolbox script which achieves 
traveling sales using the tools available. QNEAT3 allows you to create a 
distance matrix and it is not difficult to merge two point layers to get a 
matrix with the required information. Once you have a distance matrix then in 
theory there should be algorithms / documented methods somewhere by which we 
can extract an optimal route order from the results.

That said, I've not had the time to look at this myself and of bigger concern 
is the lack of support for turn restrictions in the default routing tools. This 
means that the standard QGIS tools (and I assume QNEAT3 although I've not 
really looked at Networks) will be jumping off bridges and recommending banned 
turns.

It would be interesting to know if any of the stuff I've mentioned above is 
being looked at as I might be interested in working with others to develop some 
improvements at some point; subject to finding time and employer approval.

Sorry I can't be more helpful but perhaps it will give you a manual method in 
the short term,
Paul

https://www.jstor.org/stable/167205?seq=1#page_scan_tab_contents (example 
academic paper)

Message: 2
Date: Fri, 4 Oct 2019 13:59:36 +0000
From: "Tsering W. Shawa" <[email protected]>
To: "[email protected]" <[email protected]>
Subject: [Qgis-user] Shortest path (Network Analysis)
Message-ID:
        
<bl0pr04mb50122bbf31007685fea86166b9...@bl0pr04mb5012.namprd04.prod.outlook.com>

Content-Type: text/plain; charset="iso-8859-1"

I am trying to find a tool in QGIS that will allow me to calculate shortest 
path between two layers (number of hospitals to number of addresses) using road 
network data. There are two plugins (Networks and QNEAT3) and Network analysis 
tools in Processing Toolbox but none of them allow me to calculate shortest 
path between two layers. Either the tools will allow me to find the shortest 
route between a layer (multiple locations) to a single location by picking 
interactively an origin or a destination location or interactively picking one 
an origin and a destination location. However, none of the tools will allow a 
person to upload or select two layers that has multiple point locations to 
calculate the shortest path.

Any recommendation for tools to solve my problem?

Thanks,
-Wangyal


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