Optimum Performance Measures of Interdependent Queuing System with Controllable Arrival Rates
In this paper, an attempt is made to compute the total
optimal cost of interdependent queuing system with controllable
arrival rates as an important performance measure of the system. An
example of application has also been presented to exhibit the use of
the model. Finally, numerical demonstration based on a computing
algorithm and variational effects of the model with the help of the
graph have also been presented.
[1] Gross D. and Harris C.M., "Fundamental for Queuing Theory", John
Wiley 1974.
[2] John F. Wakerly, "Digital Design Principles and Practice", Prentice-
Hall, 1994.
[3] Ke J.C. and Wang K.H., "Cost analysis of the M/M/R machine repair
problem with balking, reneging and server breakdowns", Oper. Res.
Soc. 50, p. 275-282, 1999.
[4] Mitchell and Paulson, "The M/M/1 queues with independent arrival and
service process", Naval Res. Logist Quart 26, 1, p. 81-98, 1979.
[5] Mishra S.S., "Cost analysis of vacation in Em/Cm/m queues", Bulletin of
Pure and Applied Sci. vol. 21-E, p. 301 - 305, 2001.
[6] Mishra S.S. and Pal, S., "A computational approach to the M/M/1/N
interdependent queuing model with controllable arrival rates", journal
Indian Stat. Association, vol.41, No.1, p. 83 - 94, 2003.
[7] Mishra S.S. and Mishra V., "The Cost Analysis of Machine Interference
Model with Balking, Reneging and Spares", Opsearch, Vol .p. 35-46,
2004.
[8] Mishra, S.S., "Computational approach to the cost analysis of dual
machine interference model", Wiley Interscience, Journal PAMM, Vol
.Issue1, Proc ICIAM07, Zurich (Switzerland), 2007.
[9] Mishra S.S. and Shukla D C, "A computational approach to the cost
analysis of machine interference model", American Journal of
Mathematical and Management Sciences, to appear, 2009.
[10] Mishra S S and Yadav D K, "Cost and profit analysis of Markovian
queueing system with two priority classes: A computational Approach,
International Journal of Applied Mathematics and Computer Sciences,
5:3, p. 150-156, 2009.
[11] Rao K., Rao P, and Shobha, T., "The M/M/1 independent queuing
model with controllable arrival rates", Opsearch, 37, p. 41-48, 2000.
[12] Shawky A.I., "The machine interference model: M/M/C/K/N with
balking, reneging and spares", Opsearch, vol. 37, No.1, p. 25 - 35, 2000.
[13] Taha H.A., "Operational Research", Prentice - Hall of India, 1997.
[14] Wang, K.H. and Wu, J.D., "Cost analysis of the M/M/R machine repair
problem with spares and two modes of failures", Oper. Res. Soc., 46, p.
783-790, 1995.
[15] Wang H. and Chang Y. C., "Cost analysis of finite M/M/R queuing
system with balking, reneging and server breakdown", Math. Methods.
Oper. Res. 56, p. 169-180, 2002.
[1] Gross D. and Harris C.M., "Fundamental for Queuing Theory", John
Wiley 1974.
[2] John F. Wakerly, "Digital Design Principles and Practice", Prentice-
Hall, 1994.
[3] Ke J.C. and Wang K.H., "Cost analysis of the M/M/R machine repair
problem with balking, reneging and server breakdowns", Oper. Res.
Soc. 50, p. 275-282, 1999.
[4] Mitchell and Paulson, "The M/M/1 queues with independent arrival and
service process", Naval Res. Logist Quart 26, 1, p. 81-98, 1979.
[5] Mishra S.S., "Cost analysis of vacation in Em/Cm/m queues", Bulletin of
Pure and Applied Sci. vol. 21-E, p. 301 - 305, 2001.
[6] Mishra S.S. and Pal, S., "A computational approach to the M/M/1/N
interdependent queuing model with controllable arrival rates", journal
Indian Stat. Association, vol.41, No.1, p. 83 - 94, 2003.
[7] Mishra S.S. and Mishra V., "The Cost Analysis of Machine Interference
Model with Balking, Reneging and Spares", Opsearch, Vol .p. 35-46,
2004.
[8] Mishra, S.S., "Computational approach to the cost analysis of dual
machine interference model", Wiley Interscience, Journal PAMM, Vol
.Issue1, Proc ICIAM07, Zurich (Switzerland), 2007.
[9] Mishra S.S. and Shukla D C, "A computational approach to the cost
analysis of machine interference model", American Journal of
Mathematical and Management Sciences, to appear, 2009.
[10] Mishra S S and Yadav D K, "Cost and profit analysis of Markovian
queueing system with two priority classes: A computational Approach,
International Journal of Applied Mathematics and Computer Sciences,
5:3, p. 150-156, 2009.
[11] Rao K., Rao P, and Shobha, T., "The M/M/1 independent queuing
model with controllable arrival rates", Opsearch, 37, p. 41-48, 2000.
[12] Shawky A.I., "The machine interference model: M/M/C/K/N with
balking, reneging and spares", Opsearch, vol. 37, No.1, p. 25 - 35, 2000.
[13] Taha H.A., "Operational Research", Prentice - Hall of India, 1997.
[14] Wang, K.H. and Wu, J.D., "Cost analysis of the M/M/R machine repair
problem with spares and two modes of failures", Oper. Res. Soc., 46, p.
783-790, 1995.
[15] Wang H. and Chang Y. C., "Cost analysis of finite M/M/R queuing
system with balking, reneging and server breakdown", Math. Methods.
Oper. Res. 56, p. 169-180, 2002.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:60616", author = "S. S. Mishra", title = "Optimum Performance Measures of Interdependent Queuing System with Controllable Arrival Rates", abstract = "In this paper, an attempt is made to compute the total
optimal cost of interdependent queuing system with controllable
arrival rates as an important performance measure of the system. An
example of application has also been presented to exhibit the use of
the model. Finally, numerical demonstration based on a computing
algorithm and variational effects of the model with the help of the
graph have also been presented.", keywords = "Computing, Controllable arrival rate, Optimum performance measure.", volume = "3", number = "9", pages = "717-4", }
