The Effect of Interstage Buffer Storage on the Output of Two Unreliable Production Units in Series, with Different Production Rates

Wijngaard, Jacob

doi:10.1080/05695557908974399

Cited by 150 publications

(50 citation statements)

References 13 publications

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“…One of the first results on the average output rate of a two-stage production line, consisting of two stochastic (that is: subject to failure and repair) machines separated by a buffer, and working with the same speed, was obtained by Finch (see Koenigsberg (1959». These results were generalised for PU's with different speeds by Wijngaard (1979).…”

Section: Now Suppose Pui Is Working With Rate V Buffer (I-1) (B(i-1»~smentioning

confidence: 99%

“…Some of the cases can be reduced, as far as the average output rate is concerned, to a two-stage production line with one perfect machine. This is a special case of the model of Wijngaard (1979), with A. = 0 for somẽ i E {1,2,3}.…”

Section: Now Suppose Pui Is Working With Rate V Buffer (I-1) (B(i-1»~smentioning

confidence: 99%

“…In Wijngaard (1979) a technique is introduced for analytically treating two production units in series with interstage buffer storage.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Continuous Flow Model for Three Production Units in Series with Buffers

Koster¹,

Wijngaard²

1986

Dgor

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In this paper we study a three-stage production line with intermediate buffers. The goods flow is supposed to be continuous and the production rates of the individual machines may be different. Each production unit may be subject to stochastic failure and repair. Lifetimes and repairtimes are exponentially distributed. The average line production rate is calculated for some cases.Furthermore we prove some production lines can be reduced to simpler two-stage systems.-1 -

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Section: Now Suppose Pui Is Working With Rate V Buffer (I-1) (B(i-1»~smentioning

confidence: 99%

Section: Now Suppose Pui Is Working With Rate V Buffer (I-1) (B(i-1»~smentioning

confidence: 99%

See 1 more Smart Citation

A Continuous Flow Model for Three Production Units in Series with Buffers

Koster¹,

Wijngaard²

1986

Dgor

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“…We take the goodsflow to be continuous. The throughput of this line is denoted by v(K) and can be calculated by using a method similar to the one developed in [4]. If PU1 has n different states and PU2 has k different states, then determining v(K) requires the solution of a system of k-n first order linear differential equations.…”

Section: The Modelmentioning

confidence: 99%

Capacity analysis of two-stage production lines with many products

Koster¹

1987

Engineering Costs and Production Economics

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“…They have been used to model statistical multiplexers in ATM (asynchronous transfer mode) networks [11], [12], [15], packet speech multiplexers [16], buffer storage in manufacturing models [19], buffer memory in store-and-forward systems [5] and high-speed digital communication networks [9]. In these models the queue length is considered a continuous (or "fluid") process, rather than a discrete random process that measures the number of customers.…”

Section: Introductionmentioning

confidence: 99%