Moments of losses during busy-periods of regular and nonpreemptive oscillating $$M^X/G/1/n$$ M X / G / 1 / n systems

Fátima Ferreira (), António Pacheco () and Helena Ribeiro ()
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Fátima Ferreira: Universidade de Trás-os-Montes e Alto Douro (UTAD)
António Pacheco: Universidade de Lisboa
Helena Ribeiro: Instituto Politécnico de Leiria

Annals of Operations Research, 2017, vol. 252, issue 1, No 11, 211 pages

Abstract: Abstract This work addresses loss characteristics associated to busy-periods of regular and nonpreemptive oscillating $$M^X/G/1/n$$ M X / G / 1 / n systems. By taking advantage of the Markov regenerative structure of the number of customers in the system and resorting to results on moments of compound mixed Poisson distributions, it proposes a fast and easy to implement recursive procedure to compute integer moments of the number of customers lost in busy-periods initiated with multiple customers in the system.

Keywords: Batch arrivals; Oscillating system; Busy-periods; Customer losses; Moments; Compound mixed-Poisson (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10479-015-1901-x

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