One of the most topical issues of sustainable development is extending the life cycle of production systems. Reconfigurable manufacturing system (RMS) aims to adapt efficiently to the rapidly changing market. One lever to extend the life cycle of RMS is the ability to quickly adapt to a new product (called convertibility). In this article, we present a model for the design of RMS, optimizing both its convertibility to prolongate its life cycle, and its cost to remain competitive. The convertibility is assessed on three axes: the choice of machines, the choice of transportation systems, and the physical configuration of the machines in the plant and their connection. We formalize this problem and model it by a bi-objective mixed-integer linear program. We illustrate our approach on an example.