A hybrid manufacturing system with demand for intermediate goods and controllable make-to-stock production rate

This paper presents a two-stage hybrid manufacturing system in which the first stage produces semifinished products to store as intermediate inventory in a make-to-stock mode, whereas the second stage produces customized products from semifinished goods in a make-to-order mode. The system faces external demand for semifinished goods with a compound Poisson process and has the option of controlling the make-to-stock production rate. We study the problem of coordinating the controls of order admission, make-to-stock production rate, and inventory rationing for SP demand. The problem is formulated as a Markov decision process model. We identify the structural properties of optimal policies to maximize the long-run average profit. Using a numerical experiment, we examine how the flexibility in make-to-stock production rate and the inventory rationing for semifinished product demand can affect the system performance. We also propose a heuristic and evaluate its effectiveness using example problems.