AVG_DEF: Aeverage Delivery Efficiency
In MiloMonnier/supplynet: Supply network design and robustness assessment tools

Description Usage Arguments Details Value References Examples

This efficiency metric combine both the number of producer nodes that can be accessed by a distributor node and also the (topological) distance at which each supply nodes is located.

1	AVG_DEF(g, decr.FUN = function(x) 1/x)

`g`	An igraph object; the supply network.
`decr.FUN`	function; how the weight of a supplier in the metric depend decrease with its rank according to its topological distance from target node.

First, inverse supply path length between all producer-distributor pair is computed. distributors nodes AVG_DEF AVG_DEF is equal to the mean of individual

Based on inverse supply pat Decreasing function set how the weight of the supplier decreases with its rank

A positive numeric.

Zhao, K., Kumar, A., & Yen, J. (2011). Achieving High Robustness in Supply Distribution Networks by Rewiring. IEEE Transactions on Engineering Management, 58(2), 347–362.

library(igraph)
g = generateSupplyNet()
N = seq(100)
## For a tree with 1 producer, AVG_DEF decreases with number of nodes
lg = lapply(N, make_tree)
eff = sapply(lg, AVG_DEF)
plot(N, eff)