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

Author

Listed:
  • Fátima Ferreira

    (Universidade de Trás-os-Montes e Alto Douro (UTAD))

  • António Pacheco

    (Universidade de Lisboa)

  • Helena Ribeiro

    (Instituto Politécnico de Leiria)

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.

Suggested Citation

  • Fátima Ferreira & António Pacheco & Helena Ribeiro, 2017. "Moments of losses during busy-periods of regular and nonpreemptive oscillating $$M^X/G/1/n$$ M X / G / 1 / n systems," Annals of Operations Research, Springer, vol. 252(1), pages 191-211, May.
    • Handle: RePEc:spr:annopr:v:252:y:2017:i:1:d:10.1007_s10479-015-1901-x
    DOI: 10.1007/s10479-015-1901-x
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    References listed on IDEAS

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    2. Wang, Shaun & Sobrero, Monica, 1994. "Further Results on Hesselager's Recursive Procedure for Calculation of some Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 24(2), pages 161-166, November.
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