  In this paper, the repair problem for erasures beyond locality in locally
repairable codes is explored under a practical system setting, where a
rack-aware storage system consists of racks, each containing a few parity
checks. This is referred to as a rack-aware system with locality. Two repair
schemes are devised to reduce the repair bandwidth for Tamo-Barg codes under
the rack-aware model by setting each repair set as a rack. Additionally, a
cut-set bound for locally repairable codes under the rack-aware model with
locality is introduced. Using this bound, the second repair scheme is proven to
be optimal. Furthermore, the partial-repair problem is considered for locally
repairable codes under the rack-aware model with locality, and both repair
schemes and bounds are introduced for this scenario.
