The M/M/c with critical jobs

I.J.B.F. Adan; G. Hooghiemstra

doi:10.1007/BF01198401

The M/M/c with critical jobs

I.J.B.F. Adan, G. Hooghiemstra

Stochastic Operations Research

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

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Abstract

We consider theM/M/c queue, where customers transfer to a critical state when their queueing (sojourn) time exceeds a random time. Lower and upper bounds for the distribution of the number of critical jobs are derived from two modifications of the original system. The two modified systems can be efficiently solved. Numerical calculations indicate the power of the approach.

Original language	English
Pages (from-to)	341-353
Number of pages	13
Journal	Mathematical Methods of Operations Research
Volume	47
Issue number	3
DOIs	https://doi.org/10.1007/BF01198401
Publication status	Published - 1998

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10.1007/BF01198401

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abstract = "We consider theM/M/c queue, where customers transfer to a critical state when their queueing (sojourn) time exceeds a random time. Lower and upper bounds for the distribution of the number of critical jobs are derived from two modifications of the original system. The two modified systems can be efficiently solved. Numerical calculations indicate the power of the approach.",

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AU - Adan, I.J.B.F.

AU - Hooghiemstra, G.

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AB - We consider theM/M/c queue, where customers transfer to a critical state when their queueing (sojourn) time exceeds a random time. Lower and upper bounds for the distribution of the number of critical jobs are derived from two modifications of the original system. The two modified systems can be efficiently solved. Numerical calculations indicate the power of the approach.

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DO - 10.1007/BF01198401

M3 - Article

SN - 1432-2994

VL - 47

SP - 341

EP - 353

JO - Mathematical Methods of Operations Research

JF - Mathematical Methods of Operations Research

IS - 3

ER -

The M/M/c with critical jobs

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