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Optimum Performance Measures of Interdependent Queuing System with Controllable Arrival Rates
Authors: S. S. Mishra
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.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077549Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1207
 Gross D. and Harris C.M., "Fundamental for Queuing Theory", John Wiley 1974.
 John F. Wakerly, "Digital Design Principles and Practice", Prentice- Hall, 1994.
 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.
 Mitchell and Paulson, "The M/M/1 queues with independent arrival and service process", Naval Res. Logist Quart 26, 1, p. 81-98, 1979.
 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.
 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.
 Mishra S.S. and Mishra V., "The Cost Analysis of Machine Interference Model with Balking, Reneging and Spares", Opsearch, Vol .p. 35-46, 2004.
 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.
 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.
 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.
 Rao K., Rao P, and Shobha, T., "The M/M/1 independent queuing model with controllable arrival rates", Opsearch, 37, p. 41-48, 2000.
 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.
 Taha H.A., "Operational Research", Prentice - Hall of India, 1997.
 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.
 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.