Perhaps the concept of ADDED VALUE could give you ideas or inspire you to develop a modified version or re-interpretation. I have applied the basic concept on the areas of Lean, Six Sigma, and quality management, where Added Value = (Quality x Time)/Cost.  In my model, all components are stated in relative term, for example Quality = level of conformance at time = t+1 divided by level of conformance at time = t.

For further details, please feel free to download my paper THE ADDED VALUE METRIC.

Would be interesting to see the outcome of your research.

PS: In terms of research, a lot can be explored from Lean. With recent development of Lean Consumption (by me), there are tremendous opportunities to do research in this area.

Have you had a look at methods like energy value stream assessment or environmental value stream assessment? These methods give you a hint on how to perform a combined assessment of environmental and economical performance indicators. Another field of research where these kind of methods are applied is in operations research to solve multi chriteria scheduling problems.

Article Extending Energy Value Stream Models by the TBS Dimension – ...

Perhaps the concept of ADDED VALUE could give you ideas or inspire you to develop a modified version or re-interpretation. I have applied the basic concept on the areas of Lean, Six Sigma, and quality management, where Added Value = (Quality x Time)/Cost.  In my model, all components are stated in relative term, for example Quality = level of conformance at time = t+1 divided by level of conformance at time = t.

For further details, please feel free to download my paper THE ADDED VALUE METRIC.

Would be interesting to see the outcome of your research.

PS: In terms of research, a lot can be explored from Lean. With recent development of Lean Consumption (by me), there are tremendous opportunities to do research in this area.

Lean and agile are directly related to lead time. To be lean, a company need to decrease lead time of supply and cost of order. Otherwise the company can not achieve lean production. To be agile, the company should decrease manufacturing lead time and lead time of supply either. Otherwise average response time will increase. If a company decrease lead time fixed, cost is shared to more products. It means that unit fixed cost decreases. If you seaech for a mathematical model of manufacturing, you should look into Groover's manufacturing book or Vollmann and Berry's supply chain book.

Interesting question & nice contributions. I am following.

Good luck.

You may want to use fuzzy logic (FL) or analytical hierarchy process (AHP) methods. Those are simple and straightforward. Otherwise, simulation modelling which is more involved would be able to provide a solution that is based less on subjective judgement of experts who would have been called to provide scores/weights if you were using FL or AHP.

if you want to make choice among lean, agile and green practices on the basis of cost, lead time and waste, then you may use an AHP based quantification method.

you can use the relations in this paper

Article A Novel Mathematical Logic for Improvement Using Lean Manufa...

https://doi.org/10.1142/S0219686718500233

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There is no mathematical (quantitative) relation which could measure the effect of a combination of lean, agile and green practices on cost, lead time and waste.

However, one could conceive or establish a qualitative relationships that could measure the effect of a combination of lean, agile and green practices on cost, lead time and waste.

The following paper may shed some lights along those lines. Take a look...

Book Proceedings of the 2014 International Conference on Advanced...

Article Converting computer-integrated manufacturing into an intelli...

i am following

Article A Novel Mathematical Logic for Improvement Using Lean Manufa...