A production line with random processing times and no interstation buffers is considered. The jobs are scheduled cyclically , i.e., a batch of n jobs is repititively using the same order of jobs in every batch. Processing time of a job on a station is assumed to have a phase-type distribution....

In This paper we address the scheduling problem in uppaced synchronous mixed-model production lines operated under a cyclic scheduling policy. Synchronous lines are widely used in the production and assemply of various products such as automobiles and household part.

We consider Markovian models of discrete materials flow production systems. The transient behavior of a production line is investigated. Namely, mean and variance of the number of parts produced in a given time period conditioned on an arbitrary initial condition is determined by using a Markov...

This paper presents a method for calculating the variance of the amount of materials produced in a fixed time interval by a contious materials flow production system with N stations in series and M stations in parallel and no interstation buffers.

We consider production systems that can be modeled as Markov chains. A methodology to determine the exact distribution of the number of parts produced by a production system during a fixed time interval and also the exact distribution of the time to produce a given number of parts is presented....

This paper presents a complete framework for testing procedure based on statistical theory of Markov chains.