Suppose in a three layer supply chain there are three different profit function TPs, TPm, TPr then total integrated profit is TIP=TPs+TPm+TPr, if we put TPs=0 then is it reduce to two layer supply chain or not?
You may refer to the paper attached for idea generation:
Manna, A. K., Dey, J. K., & Mondal, S. K. (2018). Two layers supply chain in an imperfect production inventory model with two storage facilities under reliability consideration. Journal of Industrial and Production Engineering, 35(2), 57-73.