Transient error approximation in a Lévy queue

Britt Mathijsen () and Bert Zwart
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Britt Mathijsen: Eindhoven University of Technology
Bert Zwart: Eindhoven University of Technology

Queueing Systems: Theory and Applications, 2017, vol. 85, issue 3, No 3, 269-304

Abstract: Abstract Motivated by a capacity allocation problem within a finite planning period, we conduct a transient analysis of a single-server queue with Lévy input. From a cost minimization perspective, we investigate the error induced by using stationary congestion measures as opposed to time-dependent measures. Invoking recent results from fluctuation theory of Lévy processes, we derive a refined cost function, that accounts for transient effects. This leads to a corrected capacity allocation rule for the transient single-server queue. Extensive numerical experiments indicate that the cost reductions achieved by this correction can be significant.

Keywords: Single-server queue; Transient analysis; Lévy processes; Capacity allocation; 60K25; 60G51 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s11134-016-9511-0

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