Determining the optimal dimension of a work-in-process storage area

We study the problem of determining the optimal dimension of a work-in-process storage area in a two-line production system with delays and breakdowns. We propose a stochastic model and prove theoretical results that allow us to implement an exact algorithm for the solution of the model. We optimally solve a real instance and carry out a sensitivity analysis to evaluate if the optimal solution is stable when the initial data are perturbed.