"Lean Sigma"

In few words, a tricky scenario.
Lean in definition is to maximize customer value while minimizing waste, while creating more value for customers with fewer resources. Lean (TPS) can also be seen as an application/tool as well, while it is also dependent on a number of tools/sub-systems in order to be effectively applied. A Strategy is a plan of action which needs to be applied (application) and dependent sub-systems = tools.
Lean (TPS) main objectives are to design out overburden (muri) -- can be prevented by standardizing work. A standard condition/ output must be defined to assure effective judgment of quality. Inconsistency (mura) = variability reduction can be avoided by just-in-time, pull system, production leveling. To eliminate (7) waste (muda) –These sub-systems need to be analysed; overproduction, waiting, transporting, inappropriate processing, unnecessary inventory, excess motion and defects as well as underutilization of employees.
Six Sigma is as well, a strategy is a plan of action which needs to be applied (application) and dependent sub-systems = (DMAIC) as core process and a whole line of quality management tools
Customers focus on a specification quality of a product/service, or how it compares to competitors in the marketplace. Manufacturers/Producers measure the conformance quality, or degree to which the product/service was produced correctly. The main aspect is quality assurance which is the prevention of defects or variability reduction. Here we have a correlation to Lean (TPS) mura.

In my opinion Six Sigma is a statistical documentation of a process which its target is quality assurance. Once again a correlation to muri a standard output time-after-time.
In conclusion, if we want to be honest applying both simultaneously “LeanSigma” the customer and the producer are best served. The problem remains however, is the cost of implementing both simultaneously may not be cost effective. I will propose a question on thoughts for “simultaneous implementation” to explore a new approach.