I'd love to read more about this if you or someone else has written about it in-depth. I'm still not clear on the connection between "mining" (spending computing power) and the type of work that logistics professionals do when verifying parts of your supply chain.
Mining, or intentional computational busywork, is one method of allowing anonymous transaction processors, uh, process transactions. A logistics system does not need anonymous transactors; it can rely on it's own network of trust. A logistics solution is much more like Proof of Stake model, where reputation is the collateral instead of a fictional financial token.
In this model, I'll refer to it as Proof of Reputation (PoR), an actor might be a certified as a reputable party in the network. You might be a certified producer of bananas, verified and certified as fair trade and humane organic hand-crafted conditions by other organizations. I'm a buyer of bananas, but I want to make sure I'm buying fair trade bananas. I can look at your certification-of-origin and verify that you are reputable as fair trade. A port authority can confirm that I bought your bananas and put them on the USS Boaty McBoatface destined for Los Angeles to meet the huge banana split market. You as a consumer can check these certifications at the store.
As it stands, all of these processes operate haphazardly and it's insanely difficult for major countries to coordinate and verify what is going on. The coordination technologies, like Ethereum's GHOST implementation, combined with public-key infrastructure helps reduce the "deadlock" time of coordinating these large public and private bureaucracies.
I know I'm not explaining this well. I'm still working on a more concrete model. In my mind the process of creating, signing, and verifying a cryptotoken transaction is eerily similar to what logistics management is all about. You need to prove the origin, verify they made the transaction, and then have a reputable actor process said transaction. There's still a lot of manual work, but the system of sharing and coordinating that work is also painful and manual. The technologies that power cryptotokens can help with the latter problem.