Kudos to Joseph Burk and his excellent book ' Cost Reduction and Optimization for Manufacturing and Industrial Companies' in which he points out specifically that the concepts have been used in Operations Management in the west for decades, however Lean Six Sigma still treats it as something 'new' and not a fundamental method/tool/principal.
Edward C. Lai and his presentation ' Lean Six Sigma Optimization' http://www.slideshare.net/elai1001/lssowebsite does a good job of tying together the fact that Optimization is essentially what Lean Six Sigma is all about .... however it is still somewhat used only as a synonym for 'improvement' and does not examine how a mathematical model of a process can be Optimized for both outputs to customer and resources used by the process.
The Lean Enterprise Institute use the word Optimize twice when describing the essence of 'Lean' on its website http://www.lean.org/WhatsLean/ however unfortunately the word and the concept then does not appear again in its tools and techniques or major principles of Lean.
Optimization of both what is important to customers ( VOC ) and internal business measures ( VOB ) often involves conversion of the business problem into a mathematical problem, and solving the mathematical problem. This is of course what much of Six Sigma methodology is about, so fits perfectly into the Lean Six Sigma tool set. The mathematics is often quite complicated and will require advanced mathematical modelling skills, however this does not mean that every Lean Six Sigma Green or Black Belt ( or even Master Black Belt ) needs to know the complex mathematics....that where external consultants / academics who are experts in mathematical modeling can be brought into our teams. It is however important that all Green Belts and Black Belts are introduced to the concepts of Optimization and are clear how it is an important tool to be used in DMAIC ( A and I phases )...and is another fundamental Goal of Lean Six Sigma projects. In summary I propose a statement such as 'Optimization of Customer most-valued outputs while also Optimizating the process resources'.
One last point... I believe that if the Japanese had introduced their word for it 'Saiteki-ka" and were using it in their TPS system, then we would all be using it today in the West ! Too late for them ... let's stick with the Engish !
(Nice summary of the mathematical concept below ( applied to Optimizing Shelf Space in a Supermarket) and link to where you can read more about it ).
Optimization
Optimization is the science / process behind finding the best solution for a problem with given constraints. We come across optimization problems on a daily basis. These can be for finding the shortest path between your work place and office; maximizing revenues / customer happiness or minimizing costs / debts etc. We basically take a real world problem, model it mathematically and then solve it using mathematical techniques with in the constraints. Optimization is useful in Marketing, Manufacturing, Finance, Online advertising, Machine Learning and all fields you can imagine.https://www.analyticsvidhya.com/blog/2016/09/a-beginners-guide-to-shelf-space-optimization-using-linear-programming/
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