Alternating service queues with mixed exhaustive and K-limited services

Ozawa, Toshihisa

doi:10.1016/0166-5316(90)90009-8

Cited by 26 publications

(20 citation statements)

References 10 publications

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“…For example, direct activation of PKC by phorbol esters has been shown to decrease, whilst PKC inhibition or down-regulation can facilitate, agonist-stimulated inositol 1,4.5-trisphosphate (Ins( 1,4,5)P,) accumulation [14]. Such data are strongly suggestive of the existence of a short negative feedback loop by which PKC activation attenuates agonist-stimulated PLC activity.…”

Section: Introductionmentioning

confidence: 61%

“…Furthermore. in the same cell line, Ozawa et al [14] have provided evidence that both cx and E isoforms of PKC are responsible for feedback inhibition of inositol phospholipid hydrolysis. However, Pachter et al [15] have demonstrated that over-expression of the /?l isoform of PKC in rat-6 fibroblasts increases PLD activity in the presence of thrombin, whilst dramatically attenuating PLC activation.…”

Section: Resultsmentioning

confidence: 99%

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Phospholipase D activation regulates endothelin‐1 stimulation of phosphoinositide‐specific phospholipase C in SK‐N‐MC cells

et al. 1993

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Endothelin‐1 (ET‐1) is known to stimulate phospholipase C (PLC) activity in SK‐N‐MC human neuroblastoma/epithelioma cells: here we show that phospholipase D(PLD) is also stimulated. The generation of inositol 1,4,5‐trisphosphate (Ins(1,4,5)P3) by ET‐1‐stimulated PLC was attenuated by protein kinase C (PKC) activation and enhanced by PKC inhibition. An enhancement of ET‐1‐stimulated Ins(1,4,5)P3 accumulation was also seen when the product of PLD activity was either diverted into phosphatidyl butanol in the presence of butanol, or phosphatidate phosphohydrolase (PPH) activity was inhibited by dl‐propranolol. We conclude that there is an inhibitory, PKC‐mediated, feedback loop in these cells which is dependent, in part, on the activation of PKC by product(s) of the PLD/PPH pathway. This provides a novel role for agonist‐stimulated PLD activation.

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Section: Introductionmentioning

confidence: 61%

Section: Resultsmentioning

confidence: 99%

Phospholipase D activation regulates endothelin‐1 stimulation of phosphoinositide‐specific phospholipase C in SK‐N‐MC cells

et al. 1993

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“…Now, we turn our attention to p 1 (·, ·). Substituting (17) for j = k into (12) and using (15) and (16) gives us, after some straightforward manipulations,…”

Section: Joint Queue Lengths At Service Completion Epochsmentioning

confidence: 99%

“…This can be explained by the fact that the k-limited strategy does not satisfy a well-known branching property for polling systems independently discovered by Fuhrmann [9] and Resing [18]. For general k, an exact evaluation for the queue length distribution is, therefore, only available for very few special two-queue cases (see Lee [14] and Ozawa [16,17]). In these models one (low-priority) queue is served by the k-limited service strategy, whereas the other (high-priority) queue is served by the exhaustive policy.…”

Section: Introductionmentioning

confidence: 99%

A STATE-DEPENDENT POLLING MODEL WITH k-LIMITED SERVICE

Winands¹,

Adan

Houtum

et al. 2009

Prob. Eng. Inf. Sci.

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We consider a two-queue model with state-dependent setups, in which a single server alternately serves the two queues. The high-priority queue is served exhaustively, whereas the low-priority queue is served according to the k-limited strategy. A setup at a queue is incurred only if there are customers waiting at the polled queue. We obtain the transforms of the queue length and sojourn time distributions under the assumption of Poisson arrivals, generally distributed service times, and generally distributed setup times. The interest for this model is fueled by an application in the field of logistics. It is shown how the results of this analysis can be applied in the evaluation of a stochastic two-item single-capacity production system. From these results we can conclude that significant cost reductions are possible by bounding the production runs of the low-priority item, which indicates the potential of the k-limited service discipline as priority rule in production environments.

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“…To this very day, not only hardly any exact results for polling systems with the k-limited service policy have been obtained [25,36,37,47], but also their derivations give little hope for extensions to more realistic systems. This deficiency of exact results is due to the fact that the k-limited service discipline does not satisfy a well-known branching property independently ascertained by [17] and [38].…”

Section: Introductionmentioning

confidence: 99%

Iterative approximation of k-limited polling systems

Vuuren

Winands

2007

Queueing Syst

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The present paper deals with the problem of calculating queue length distributions in a polling model with (exhaustive) k-limited service under the assumption of general arrival, service and setup distributions. The interest for this model is fueled by an application in the field of logistics. Knowledge of the queue length distributions is needed to operate the system properly. The multi-queue polling system is decomposed into single-queue vacation systems with k-limited service and state-dependent vacations, for which the vacation distributions are computed in an iterative approximate manner. These vacation models are analyzed via matrix-analytic techniques. The accuracy of the approximation scheme is verified by means of an extensive simulation study. The developed approximation turns out to be accurate, robust and computationally efficient.

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Alternating service queues with mixed exhaustive and K-limited services

Cited by 26 publications

References 10 publications

Phospholipase D activation regulates endothelin‐1 stimulation of phosphoinositide‐specific phospholipase C in SK‐N‐MC cells

Phospholipase D activation regulates endothelin‐1 stimulation of phosphoinositide‐specific phospholipase C in SK‐N‐MC cells

A STATE-DEPENDENT POLLING MODEL WITH k-LIMITED SERVICE

Iterative approximation of k-limited polling systems

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