Abstract
In this paper, an attempt has been made to discuss the cost analysis of the machine interference model M/M/C/K/N. Here, we have constructed a cost function in order to determine the optimum cost of the system. In this analysis, a fast converging N - R method has been used to solve the non-linear function involving service rate and hyper geometric functions including other parameters. A computer program of above method has enabled us to crack down the root value of this exhaustive non-linear function to yield an optimal solution. In this way, an efficient evaluation of performance measure in the form of cost analysis has been possible to be carried out and consequently an important dimension of this investigation has been attempted successfully.
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References
Cox, D.R. and Smith, W.L. (1961), Queues, John Wiley & Sons. INC., New York.
Gross, D. and Harris, C.M. (1974), Fundamental for queueing theory, John Wiley.
Kleinrock, L. (1975), Queueing systems, Vol. 1, John Wiley.
Ke, J.C. and Wang, K.H. (1999), Cost analysis of the M/M/R machine repair problem with balking, reneging and server breakdowns, Oper. Res. Soc., 50, 275–282.
Medhi, J. (1991), Stochastic models in queueing theory, Academic Press. 11
Mishra, S.S. (2001), Cost analysis of vacation in Em/Cm/m queues, Bulletin of Pure and Applied sci. Vol. 21-E, p. 301–305.
Shawky, A.I. (2000), The machine interference model : M/M/C/K/N with balking, reneging and spares, Opsearch, Vol. 37, No. 1, p. 25 – 35.
Taha, H.A. (1997), Operational Research, Prentice – Hall of India.
White, J.A., Schmidt, J.W. and Benett, G.K. (1975), Analysis of Queueing Systems, Academic Press.
Wang, K.H. and Wu, J.D. (1995), Cost analysis of the M/M/R machine repair problem with spares and two modes of failures, Oper. Res. Soc., 46, 783–790.
Wang, K. H. and Chang, Y. C. (2002), Cost analysis of finite M/M/R queueing system with balking, reneging and server breakdowns, Math. Methods. Oper. Res. 56, 169–180.
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Mishra, S.S., Mishra, V. The cost analysis of machine interference model with balking, reneging and spares. OPSEARCH 41, 188–199 (2004). https://doi.org/10.1007/BF03398844
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DOI: https://doi.org/10.1007/BF03398844