In EIGRP, the metric is calculated from the minimum BW and the total delay along the path to destination. The first path does have a higher total delay than the second path, which would explains the higher metric. Someone might have set the delay manually on one of the interfaces along the first path.
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I can not find any manual configuration of delay. My understanding of delay is it uses a table of interface types to figure out the delay. The first router is a 1GB link then a 100MB. The second router is connected by 2 tunnel interfaces at 1.5 MB.
Would different version IOS have a differnt delay table?
The delay is factored into the metric calculation, so you cant just use bandwidth and call it a day.
10^7 is what is referred to as a reference bandwidth.
Minimum bandwidth refers to the interface that has the lowest configured bandwidth of all the interfaces in the path between the SOURCE ROUTER -- be careful, not the source host that sent the traffic -- and the destination network. The bandwidth calculations begin with the first hop router's forward-facing (outgoing) interface. In other words, it is not the bandwidth from the perspective of the end-device that sourced the traffic that must first be considered, but the router's outgoing interface itself.
If a router forwards a packet that it received from a source host on its ethernet interface out of its serial interface, on its way to the next hop, then it is that bandwidth that gets consided as part of the calculation, not the bandwidth of the ethernet interface that has the source host connected to it.
As for delay, it is cumulative and taken not on an interface-per-interface basis, but from a link perspective. Delay is a quantification of the time a packet will take to traverse the link, end-to-end. So, you do not add the delay of directly connected interfaces to each other, but just take one reading of the link.
All this having been said, what you need to do is view the router's topology table to get a read on the minimum bandwidth of each path, from source to destination, as well as the cumulative delay.
Apply the formula, and you will see why one metric is higher than the other.
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