Optimal simultaneous replacement and maintenance of a machine with process discontinuities

— In gênerai, most pièces ofequipment tend to become less efficient productively as their âge increases, until they reach a point where it is no longer deemed profitable to use them. However, the obsolescence of a machine is usually Hmited to a particular production process. This paper is concerned with productive obsolescence of machines^ which is defined as process discontinuities. These usually occur when, at some point in time tït a machine changes its economie function and is retired at another point in time Tx. In this case the salva value at Tx is controlled by the production processes during the time intervals [0, tj and ['„ Ti).