An analytical formula for variance of output from a series-parallel production system with no interstation buffers and time-dependent failures

DOI10.1016/S0895-7177(98)00031-4zbMath0903.90094OpenAlexW2021073409MaRDI QIDQ1388962

D. Massart

Publication date: 15 September 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(98)00031-4

zbMATH Keywords

performance measuresMarkov modelssojourn timetime-dependent failurescontinuous materials flow production systemno interstation buffersseries-parallel production system

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Production models (90B30)

Related Items (5)

Analysis of Transient Throughput Rates of Transfer Lines with Pull Systems ⋮ Modeling and Performance Evaluation of a Series-parallel Flow Line System with Finite Buffers ⋮ Analytical evaluation of the output variability in production systems with general Markovian structure ⋮ Variance of the output as a function of time: Production line dynamics ⋮ Asymptotic variance rate of the output of a transfer line with no buffer storage and cycle-dependent failures

Cites Work

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• Variance of the throughput of an \(N\)-station production line with no intermediate buffers and time dependent failures
• Variance of the number of units produced on a transfer line with buffer inventories during a period of lengthT
• The Output Processes of Serial Production Lines of Exponential Machines with Finite Buffers
• Characterizing the Output Process of a CONWIP Line with Deterministic Processing and Random Outages
• Safety Stock versus Safety Time in MRP Controlled Production Systems
• The Throughput of Multistation Production Lines with No Intermediate Buffers
• A process with chain dependent growth rate

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