Production and Operations Management · 2000 · 43 citations · 24 references
EngineeringIndustrial EngineeringManufacturing EngineeringManufacturing SystemsProduction PlanningQueuing TheoryQueueing AnalysisQueueing ProcessesQueueing SystemsQueueing TheoryQueuing AnalysisThroughput AnalysisAnalytical ModelsFabricationInterarrival Time DistributionsProduction Line Queueing ModelsSimulation Of Manufacturing SystemsSimulation Of Queueing SystemsThroughput Time AnalysisWaiting Time Distributions
We develop analytical models for performance evaluation of Fabrication/Assembly (F/A) systems. We consider an F/A system that consists of an assembly station with input from K fabrication lines. Each fabrication line consists of one or more fabrication stations. The system is closed with a fixed number of items circulating between each fabrication line and the assembly station. We present algorithms to estimate the throughput and mean queue lengths of such systems with exponential processing times. We then extend our approach to analyze F/A systems with general processing time distributions. Numerical comparisons with simulations demonstrate the accuracy of our approach.
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APPROXIMATIONS FOR THE GI/G/m QUEUE
Ward Whitt · Production and Operations Management · 1993 · 401 citations