Moments of losses during busy-periods of regular and nonpreemptive oscillating MX/G/1/n systems

Ferreira, Fátima; Pacheco, António; Ribeiro, Helena

http://hdl.handle.net/10400.8/13754

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
s10479-015-1901-x.pdf		853.92 KB	Adobe PDF	Download

Send Feedback

Authors

Ferreira, Fátima

Pacheco, António

Ribeiro, Helena

Abstract(s)

This work addresses loss characteristics associated to busy-periods of regular and nonpreemptive oscillating 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

URI

http://hdl.handle.net/10400.8/13754

Citation

Ferreira, F., Pacheco, A. & Ribeiro, H. Moments of losses during busy-periods of regular and nonpreemptive oscillating MX/G/1/n. Ann Oper Res 252, 191–211 (2017). https://doi.org/10.1007/s10479-015-1901-x