51 research outputs found

    An assembly cell with an automated quality control station Exponentially distributed processing times

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    AbstractThe performance of an assembly cell consisting of a set of machines, a sufficiently large local storage, an adjacent automated quality control station, a loading and an unloading station is modeled by a G/M/1 queuing system with generally distributed interarrival time, a single Markovian server, the first come first served queuing discipline, and with a fixed delay Bernoulli feedback mechanism, in steady state. In a queuing system with a fixed delay Bernoulli feedback mechanism, a fraction of the departing units will merge with the incoming arrival units to be reprocessed, after being delayed for a fixed length of time. The performance of this system is approximated by a recursive algorithm. Furthermore, approximation outcomes are compared against those from a simulation study

    An assembly cell with an automated quality control station: A finite capacity and generally distributed processing times

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    AbstractThe performance of an assembly cell consisting of a set of machines, a finite capacity local storage, an automated quality control station, a loading station and an unloading station is modeled by an M/G/1K queuing system with a Poisson input, a single server, generally distributed processing times, a buffer of size K, the first come first served queuing discipline, and with a fixed delay Bernoulli feedback mechanism, in steady state. In a queuing system with a fixed delay Bernoulli feedback mechanism, a fraction of the departing units will merge with the incoming arrival process to be reprocessed, after being delayed for a fixed length of time. The performance this system is approximated by a recursive algorithm. Furthermore, approximation outcomes are compared against those from a simulation study
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