Variance of the output as a function of time: Production line dynamics

DOI10.1016/S0377-2217(98)00266-5zbMath0948.90056OpenAlexW2058728731WikidataQ126570075 ScholiaQ126570075MaRDI QIDQ1806936

Barış Tan

Publication date: 20 December 1999

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-2217(98)00266-5

zbMATH Keywords

finite bufferoutput variabilityMarkov reward modelfinite buffer tandem queues

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Production models (90B30) Markov and semi-Markov decision processes (90C40) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (11)

The intercept term of the asymptotic variance curve for some queueing output processes ⋮ Conservation of filtering in manufacturing systems with unreliable machines and finished goods buffers ⋮ Analysis of Transient Throughput Rates of Transfer Lines with Pull Systems ⋮ The variance of inter-departure times of the output of an assembly line with finite buffers, converging flow of material, and general service times ⋮ Service level robustness in stochastic production planning under random machine breakdowns ⋮ Transient throughput analysis for a series type system of machines in terms of alternating renewal processes. ⋮ Analytical evaluation of the output variability in production systems with general Markovian structure ⋮ The asymptotic variance rate of the output process of finite capacity birth-death queues ⋮ On the importance of variability when managing metrology capacity ⋮ Asymptotic mean and variance of departures in an \(M/G/1/K + 1\) queue ⋮ Asymptotic variance rate of the output of a transfer line with no buffer storage and cycle-dependent failures

Cites Work

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• Analysis of multistation production systems with limited buffer capacity. I: The subsystem model
• An analytical formula for variance of output from a series-parallel production system with no interstation 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
• A decomposition model for continuous materials flow production systems
• Characterizing the Output Process of a CONWIP Line with Deterministic Processing and Random Outages

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