In this paper, the authors study a production system known as the 2M-1B RP line model. Two Markovian machines decoupled by a finite intermediate buffer form this model, which operates under the control of a Restart Policy (RP). This control policy acts as follows: when the buffer fills up and the first machine is blocked, the first machine remains in a controlled idle state until the buffer becomes empty again. Because of the RP policy, it is possible to identify two different system behaviours: the standard operation, where no control policy is applied, and the buffer drainage, where the first machine is in the controlled idle state, allowing the buffer level to decrease. In this context, the authors develop the RP model as a continuous time Markov process, allowing the consideration of machines having different capacities. They provide an exact analytical solution of the model and prove the conservation of flow. Moreover, they provide explicit expressions of the most important performance measures of the model.
Recensione dell'articolo:(Gebennini, Elisa; Grassi, Andrea; Fantuzzi, Cesare - " The two-machine one-buffer continuous time with restart policy. " - Ann.Oper. Res. 231 (2015), 33-64.) MR3374678 MathSciNet ISSN 2167-5163
Leonardo Pasini
2016-01-01
Abstract
In this paper, the authors study a production system known as the 2M-1B RP line model. Two Markovian machines decoupled by a finite intermediate buffer form this model, which operates under the control of a Restart Policy (RP). This control policy acts as follows: when the buffer fills up and the first machine is blocked, the first machine remains in a controlled idle state until the buffer becomes empty again. Because of the RP policy, it is possible to identify two different system behaviours: the standard operation, where no control policy is applied, and the buffer drainage, where the first machine is in the controlled idle state, allowing the buffer level to decrease. In this context, the authors develop the RP model as a continuous time Markov process, allowing the consideration of machines having different capacities. They provide an exact analytical solution of the model and prove the conservation of flow. Moreover, they provide explicit expressions of the most important performance measures of the model.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
