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Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite this version: Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola. Calculating the busy period distribution of the M/M/1 queue. [Research Report] RR-1501, INRIA. 1991. <inria-00075061> HAL Id: inria-00075061 https://hal.inria.fr/inria-00075061 Submitted on 24 May 2006 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destin´ ee au d´ epˆ ot et ` a la diffusion de documents scientifiques de niveau recherche, publi´ es ou non, ´ emanant des ´ etablissements d’enseignement et de recherche fran¸cais ou ´ etrangers, des laboratoires publics ou priv´ es.

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Page 1: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Calculating the busy period distribution of the M/M/1

queue

Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola

To cite this version:

Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola. Calculating the busy period distributionof the M/M/1 queue. [Research Report] RR-1501, INRIA. 1991. <inria-00075061>

HAL Id: inria-00075061

https://hal.inria.fr/inria-00075061

Submitted on 24 May 2006

HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, estdestinee au depot et a la diffusion de documentsscientifiques de niveau recherche, publies ou non,emanant des etablissements d’enseignement et derecherche francais ou etrangers, des laboratoirespublics ou prives.

https://hal.archives-ouvertes.fr

https://hal.inria.fr/inria-00075061

Page 2: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 3: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 4: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 5: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 6: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 7: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 8: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 9: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 10: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 11: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 12: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

Page 13: Calculating the busy period distribution of the M/M/1 queue · Calculating the busy period distribution of the M/M/1 queue Louis-Marie Le Ny, Gerardo Rubino, Bruno Sericola To cite

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