Scheduling is often obtained without the consideration of process dynamics that affect the transition between steady states where production takes place. In this work we first formulate the scheduling optimization problem including process dynamics and then propose a decomposition approach that results in the efficient solution of the integrated problem. Optimality Analysis is utilized to prove that the production sequence and transition times are independent of products' demands. The proof leads to the decomposition of the integrated problem into two subproblems that can be solved separately without the need for iterations. Results of case studies verify the feasibility and effectiveness of the proposed approach in reducing the computational complexity of the integrated problem but also obtaining the optimal solution.