APO is not a module but an application component of SCM Application. It has multiple modules - Demand Planning (DP), Supply Network Planing (SNP), Production Planning Detailed Scheduling (PPDS), Global Available to Promise (GATP), Service Parts Planning (SPP), Transportation Planning Vehicle Scheduling (TPVS).
Take a look at the SCM Wiki also if interested.
It does not have a direct relation with QM. PPDS Module of APO is related to PP module of R/3.
Hope this helps,
somnath
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