A note on the stability of the many-queue head-of-the-line processor-sharing system with permanent customers

Queueing Systems

Volumn 32, Issue 4, 1999, Pages 363-381

  Brandt, Andreas ^a   Brandt, Manfred ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

Ergodicity; Head of the line processor sharing; Loynes' construction; Many queues; Marked point process; Permanent customers; Stability condition

Indexed keywords

QUEUEING THEORY; REGRESSION ANALYSIS;

ERGODICITY; MANY QUEUES; MARKED POINT PROCESS; PERMANENT CUSTOMERS; PROCESSOR SHARING; STABILITY CONDITION;

SALES;

EID: 0033235196     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/A:1019155524681     Document Type: Article

References (8)

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2. A. Brandt, P. Franken and B. Lisek, Stationary Stochastic Models (Akademie-Verlag, Berlin; Wiley, Chichester, 1990).
3. J.L. Doob, Stochastic Processes (Wiley, New York, 1990).
4. P. Franken, D. König, U. Arndt and V. Schmidt, Queues and Point Processes (Akademie-Verlag, Berlin; Wiley, Chichester, 1982).
5. R.M. Loynes, The stability of a queue with non-independent inter-arrival and service times, Proc. Cambridge Philos. Soc. 58 (1962) 497-520.
6. S.F. Yashkov, Processor-sharing queues: Some progress in analysis, Queueing Systems 2 (1987) 1-17.
7. S.F. Yashkov, Analysis of Queues in Computers (Radio Svyaz, Moscow, 1989) (in Russian).
8. S.F. Yashkov, Mathematical problems in the theory of shared-processor systems, in: Itogi Nauki i Tekhniki, Seriya Teoriya Veroyatnostei, Matematicheskaya Statistika, Teoreticheskaya Kibernetika 29 (1990) pp. 3-82.