1971
DOI: 10.1145/321662.321675
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A Dynamic Time-Sharing Priority Queue

Abstract: This paper deals with a single server station delivering service to m priority classes (m might be finite or infinite). The arrival process of customers from a jth (j = 1, 2,..., m) priority class (jth customers) to a single server station is a homogenous Poisson process with rate X3 • Service requirements of jth customers are exponentially distributed with mean 1/~. The waiting line consists of infinitely many separate queues all of which obey the FIFO rule. Each priority class is assigned to one of the queue… Show more

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Cited by 9 publications
(4 citation statements)
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“…If p~ > 1 the whole system is saturated; and if there exists an integer n such that p~ < 1 < p~+~, then the first n levels are unsaturated, and all service requirements which can be satisfied in these levels are satisfied in a finite time. As Adiri [1] notes, this gradual saturation is one of the advantages of the FB scheduling discipline, as well as of the model presented here, over other scheduling disciplines of queueing systems. In the sequel it will be assumed that the system is in steady state and p~ < 1.…”
Section: Notation and Preliminary Resultsmentioning
confidence: 73%
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“…If p~ > 1 the whole system is saturated; and if there exists an integer n such that p~ < 1 < p~+~, then the first n levels are unsaturated, and all service requirements which can be satisfied in these levels are satisfied in a finite time. As Adiri [1] notes, this gradual saturation is one of the advantages of the FB scheduling discipline, as well as of the model presented here, over other scheduling disciplines of queueing systems. In the sequel it will be assumed that the system is in steady state and p~ < 1.…”
Section: Notation and Preliminary Resultsmentioning
confidence: 73%
“…Essentially the same phenomena occur as in Figure 5, but their scope is much more limited. The range of flow times has been decreased, the 1 I 1 I I I I I I I I I I I 2 3 4 5 6 7 8 9 i0 ii 12 …”
Section: In Their Notation E(t) = E(s) + Xe(s2)/2(1 -Xe( S) )mentioning
confidence: 99%
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“…Schrage [2] has also investigated this system with different quantum sizes for the various levels. Adiri [3] and Coffman and Kleinrock [1] have studied a modification of the multiple-level system wherein the level at which a program enters the system is determined by an externally-assigned priority. Adiri also allows different quantum sizes for the various levels.…”
mentioning
confidence: 99%