Currently, manufacturing is characterized by increasing complexity both on the technical and organizational levels. Thus, more complex intelligent production control methods are developed in order to remain competitive achieve operational excellence. Operations management described early influence among target metrics, such as queuing times, queue length, speed. However, accurate predictions of...

This paper investigates the steady state property of queue length for a batch arrival queue under N-policy with single vacation and setup times. When the system becomes empty, the server is turned off at once and takes a single vacation of random length V . When he returns, if the queue length reaches or exceeds threshold ( 1) N N  , the server is immediately turned on but is temporarily unava...

In the Operations Research queue-joining literature, beginning with Naor (1969), the queue joining probability is monotonic decreasing in the queue length; the longer the queue, the fewer consumers join. Recent academic and empirical evidence indicates that queue-joining probabilities may not always be decreasing in the queue length. We provide a simple explanation for these non-monotonic queue...

Queues with Markovian arrival and service processes, i.e., MAP/MAP/1 queues, have been useful in the analysis of computer and communication systems and di erent representations for their stationary sojourn time and queue length distribution have been derived. More speci cally, the class of MAP/MAP/1 queues lies at the intersection of the class of QBD queues and the class of semi-Markovian queue...