The M/M/c with critical jobs

Ivo Adan () and Gerard Hooghiemstra ()

Mathematical Methods of Operations Research, 1998, vol. 47, issue 3, 353 pages

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. Copyright Physica-Verlag 1998

Keywords: M/M/c; priority queue; bounds; matrix methods (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/BF01198401

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