As additive manufacturing (AM) processes become more widely accepted for end-user manufacturing, their disruptive impact on production management is obvious, from the non-traditional supply chain to new perspectives in design-for-manufacturing. A probable future scenario when using AM processes is the need to integrate them into existing production cells while keeping the same or similar cell design and not re-designing the layout to accommodate AM. This article examines the problem, proposing a framework for implementing this using convex optimization to model and optimize the parameters of the existing cell and also responsively optimize a disrupted cell (after the introduction of the AM process(es)) to minimize the impact of the disruption. The objective functions for the program were related to the processing time and cell power requirements, both before and after disruption. A case study was completed where a cell is disrupted by the addition of a metal AM process (LENS), showing the concepts in action and providing a useful solution to the problem without the need for expert interpretation and at a reasonable computational cost.