Influence of Storage Bin Capacity on the Average Standstill Time of a Production Line

Sevast'yanov, Boris Alexandrovich

doi:10.1137/1107040

Cited by 126 publications

(36 citation statements)

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“…In that case, there is a much stronger equivalence between the two systems. This equivalence is based on the concept of job/hole (or part/hole) duality introduced by Gordon and Newell (1967) and also noticed earlier by Sevast'yanov (1962) and termed articles/anti-articles. The idea is that in line L, whenever a part moves in one direction, a hole (empty space) moves in the other direction.…”

Section: Reversibility and Duality Propertiesmentioning

confidence: 97%

“…See Section 3.6.) Sevast'yanov (1962) demonstrated uniqueness of the solution to his set of equations. Zimmern (1956) earlier discussed such an approach in an informal way.…”

Section: Decompositionmentioning

confidence: 99%

“…The basic principles of decomposition methods were devised by Zimmern (1956) and Sevast'yanov (1962) in the context of FLUMs, and by Hillier and Boling (1967) in the context of FLRMs. Since then, much work has been devoted to approximate methods.…”

Section: Approximate Analysismentioning

confidence: 99%

“…Existing methods ignore variability since there are essentially no methods for evaluating variability. Sevast'yanov (1962) studied the optimal allocation of storage space for his one-parameter system. Hillier and Boling (1966, 1972 studied the allocation of machine capacity and storage space and discovered the "bowl phenomenon" and made related observations.…”

Section: Line Designmentioning

confidence: 99%

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Manufacturing flow line systems: a review of models and analytical results

1992

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The most important models and results of the manufacturing flow line literature are described. These include the major classes of models (asynchronous, synchronous, and continuous); the major features (blocking, processing times, failures and repairs); the major properties (conservation of flow, flow rate-idle time, reversibility, and others); and the relationships among different models. Exact and approximate methods for obtaining quantitative measures of performance are also reviewed. The exact methods are appropriate for small systems. The approximate methods, which are the only means available for large systems, are generally based on decomposition, and make use of the exact methods for small systems. Extensions are briefly discussed. Directions for future research are suggested.

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Section: Reversibility and Duality Propertiesmentioning

confidence: 97%

“…See Section 3.6.) Sevast'yanov (1962) demonstrated uniqueness of the solution to his set of equations. Zimmern (1956) earlier discussed such an approach in an informal way.…”

Section: Decompositionmentioning

confidence: 99%

Section: Approximate Analysismentioning

confidence: 99%

Section: Line Designmentioning

confidence: 99%

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Manufacturing flow line systems: a review of models and analytical results

1992

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“…The use of decomposition for the analysis of long flow lines was proposed by Zimmern (1956) for lines with machines with operation-dependent failures and by Sevast'yanov (1962) for machines with time-dependent failures. Both authors used the continuous model and considered only the case of homogeneous lines in which all machines have the same processing rates.…”

Section: Separated By a Buffer B(i)mentioning

confidence: 99%

Analysis of long flow lines with quality and operational failures

Kim

Gershwin

2008

IIE Transactions

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This paper presents approximation methods for the performance analysis of long manufacturing lines, i.e. lines with more than two machines and one buffer, that have both quality and operational failures. We describe three different versions of long flow lines that differ in the locations of the inspection stations and in the sets of machines that each inspection station monitors. We explain a transformation method that approximates long manufacturing lines that have quality and operational failures with long lines that only have operational failures. Such lines can be evaluated by decomposition methods. We introduce other approximations to quantify the effects of the separation of inspections from operations. Comparison with simulation shows that the solution methods provide reliable performance estimates.

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Evaluation of Throughput in Serial Production Lines with Non-Exponential Machines

Li¹,

Meerkov²

2005

Analysis, Control and Optimization of Complex Dynamic Systems

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Influence of Storage Bin Capacity on the Average Standstill Time of a Production Line

Cited by 126 publications

References 0 publications

Manufacturing flow line systems: a review of models and analytical results

Manufacturing flow line systems: a review of models and analytical results

Analysis of long flow lines with quality and operational failures

Evaluation of Throughput in Serial Production Lines with Non-Exponential Machines

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