On poisson machine interference model: М/М/2/k/N with balking, reneging and heterogeneous repairmen

A.ı Shawky

doi:10.1501/Commua1_0000000335

EN

On poisson machine interference model: М/М/2/k/N with balking, reneging and heterogeneous repairmen

Abstract

The aim of this paper is to derive the analytical solution of the queue; M/M/2/k/N for tnachine interference system with balking, reneging and two heterogeneous repairmen. A modified queue discipline to the classical one FIFO is used with a more general condition. The steady-state probabilities and some measures of effectiveness are derived in explicit forms. Also sotne special cases are deduced

Keywords

References

Ankara Üniversitesi Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

A.ı Shawky This is me
Türkiye

Publication Date

January 1, 2004

Submission Date

January 1, 2004

Acceptance Date

-

Published in Issue

Year 2004 Volume: 53 Number: 02

DOI

https://doi.org/10.1501/Commua1_0000000335

IZ

https://izlik.org/JA43JX25AT

Cite

RIS / Bibtex

APA

Shawky, A. (2004). On poisson machine interference model: М/М/2/k/N with balking, reneging and heterogeneous repairmen. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 53(02), 7-12. https://doi.org/10.1501/Commua1_0000000335

AMA

1.Shawky A. On poisson machine interference model: М/М/2/k/N with balking, reneging and heterogeneous repairmen. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2004;53(02):7-12. doi:10.1501/Commua1_0000000335

Chicago

Shawky, A.ı. 2004. “On Poisson Machine Interference Model: М М 2 K N With Balking, Reneging and Heterogeneous Repairmen”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 53 (02): 7-12. https://doi.org/10.1501/Commua1_0000000335.

EndNote

Shawky A (January 1, 2004) On poisson machine interference model: М/М/2/k/N with balking, reneging and heterogeneous repairmen. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 53 02 7–12.

IEEE

[1]A. Shawky, “On poisson machine interference model: М/М/2/k/N with balking, reneging and heterogeneous repairmen”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 53, no. 02, pp. 7–12, Jan. 2004, doi: 10.1501/Commua1_0000000335.

ISNAD

Shawky, A.ı. “On Poisson Machine Interference Model: М М 2 K N With Balking, Reneging and Heterogeneous Repairmen”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 53/02 (January 1, 2004): 7-12. https://doi.org/10.1501/Commua1_0000000335.

JAMA

1.Shawky A. On poisson machine interference model: М/М/2/k/N with balking, reneging and heterogeneous repairmen. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2004;53:7–12.

MLA

Shawky, A.ı. “On Poisson Machine Interference Model: М М 2 K N With Balking, Reneging and Heterogeneous Repairmen”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 53, no. 02, Jan. 2004, pp. 7-12, doi:10.1501/Commua1_0000000335.

Vancouver

1.A.ı Shawky. On poisson machine interference model: М/М/2/k/N with balking, reneging and heterogeneous repairmen. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2004 Jan. 1;53(02):7-12. doi:10.1501/Commua1_0000000335