I~EFERENCES. 2) Barrer, D.Y.(l957a). "Queueing with Impatient Customers and Indifferent Clerks." Oper. Res.5,

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1 I~EFERENCES I) Bailey, N.T.J.( 1952). "Study of Queues and Appointment Systems in Out-Patient Departments with Special Reference to Waiting Times." J.Roy. Statist Soc. Ser. B.l4, ) Barrer, D.Y.(l957a). "Queueing with Impatient Customers and Indifferent Clerks." Oper. Res.5, ) Barrer, D.Y.(l957b). "Queueing with Impatient Customers and Ordered Service." Oper. Res.5, ) Bhatt, U.N.(1964). "Imbedded Markov Chain Analysis of Single Service Bulk Queues." J. Aust. Math. Soc.4, ) Bhatt, U.N.(1968a). " Transient Behavior of Multi-server Queues with Recurrent Input and Exponential Service Times." J. Appl. Prob.5, , 6) ~ Blackburn, J.B.(1972). " Optimal Control of a Single-server Queue with Balking and Reneging." Manage.Sci. 19, ) Burke, P.J.(1964). "The dependence of Delay in Tandem Queues." Ann.Math.Statist. 35, ) Burke, P.J.(l969). "The dependence of Service in Tandem M/M/S Queues." Oper. Res. 17,

2 9) Cobham, A.( 1954 ). "Priority Assignment in Waiting Line Problems." Oper. Res.2, 70-76; correction, 3, 547 I 0) Cooper, R.B.(I981 ). Introduction to Queueing Theory, 2nd ed. New York: North Holland 11) Cox, D.R.(l965). "Some problems of Statistical Analysis Connected with Congestion." In Proceedings of the Symposium on Congestion Theory, W.L.Smith and W.E.Wilkinson(Eds) Chapel Hill, NC: University of North Carolina Press. 12) Crabill, T.B.(l972). "Optimal control of a service facility with variable exponential service time and constant arrival rate." Manage.Sci.l8, ) Erlang, A.K.(1909). "The theory of Probabilities and Telephone Conversations." Nyt Tidsskrift Mat. B 20, ) Fakinos, 0.(1980). " The M/G/K blocking system with heterogeneous servers, J. Opnl. Res.soc.31, ) Feller, W.(1957). An Introduction to Probability Theory And Its Applications, Vol. I, New York: Wiley 16) Feller, W.(1971). An Introduction to Probability Theory And Its Applications, Vol.2, 2nd ed. New York: Wiley 17) Fishman, G.S.( 197 4). "Estimation m Multi-server Queueing simulations." Oper. Res. 22,

3 18) Fry, T.C.(l928). Probability and its Engineering Uses. Princeton, NJ: Van Nostrand 19) Gaver, D.P., Jr.(l959). "Imbedded Markov chain Analysis of a Waiting Line Process In Continuous Time." Ann. Math. Statist. 30, ) Grassmann, W.(1977). "Transient Solutions in Markovian Queueing Systems." Comput. And Oper. Res.4, ) Gray, W.J., Wang, P.P. and Scot., M.(2002). "Queueing models with back up servers and service breakdowns". Opsearch, 39(5,6) 22) Green, Linda(1985). "A Queueing system with general-use and limited- use servers,opnl. Res.,33(1), ) Gross, Donald and Harris, C.M.(1974): Fundamentals of queueing theory, John Wiley and sons, New York 24) Gross, Donald and Harris, C.M.(1994): Fundamentals of queueing theory, John Wiley and sons, New York 25) Haight, F.A.(1957). "Queueing with Balking, I." Biometrika 46, ) Haight, F.A.( 1959). "Queueing with Reneging." Metrika 2,

4 27) Hlynka, M., Stanford, D.A., Wang, T. and Poon, W.H.(I994 )."Observing queues before joining." Oper. Res.42, ) Hunt, G.C.(l956). "Sequential arrays of waiting lines.", Oper. Res.,4, ) Jackson,J.R.(l957). "Networks of Waiting Lines." Oper. Res.5, ) Jain, Madhu(1998). "Finite Population loss and delay queueing system with no passing." Opsearch, 35(3), ) Jaiswal, N.K.(1968). Priority Queues. New york: Academic Press. 32) Kao, E.P.C. and Lin, Chiusin(1990): A matrix-geometric solution of the jockeying problem. European journal of operation research,44, ) Kashyap,B.R.K(1965). "A double-ended queuemg system with limited waiting space". Prec. Nat. Inst. Sci. India, 31 A, ) Klienrock, L.(1975). Queueing Systems, vol.l: Theory. NewYork: Wiley 35) Klienrock, L.( 1976). Queueing Systems, vol.2: Computer Applications. NewYork: Wiley 96

5 36) Koenigsberg, E.(l966) "On Jockeying in Queues." Manage. Sci.l2, ) Mazumdar, Sati and Liu, Kenneth(1999). "Transition (Markov) models for the analysis of survival times in clinical research." Commun Statist Simula, 28(1), ) Medhi(1991). Stochastic Models In Queueing Theory. Boston: Academic Press. 39) Miller, D.R.(1981). "Computation ofthe Steady-State probabilities for M/M/1 Priority Queues." Oper. Res. 29, ) Molina, E.C.(1927). "Application of the Theory of Probability to Telephone Trunking Problems." Bell Syst. Tech.J.6, ) Neuts, M.F.(l965). "The Busy Period of a Queue with Batch Service." Oper. Res.l3, ) Neuts, M.F.(1978). "Markov chain with applications in queueing theory which have a matrix geometric prob. Vector" Adv.Appl.Prob.lO, ) Perros, H.(1994). Queueing Networks with Blocking. NewYork: Oxford University Press. 44) Prabhu, N.U.(l965a). Stochastic Processes. New York: Macmillan 45) Prabhu, N.U.(l965b). Queues and Inventories. New York: Wiley 97

6 46) Prabhu, N.U.(I997). Foundations of queuemg theory. Boston: Kluwer Academic 47) Rao, S.S.(I968). "Queueing with Balking and Reneging in M/G/1 Systems." Metrika 12, ) Reich, E.(1957). "Waiting Times when Queues are in Tandem." Ann. Math. Statist.28, ) Roque, D.R.(1980): A note on queuemg models with lane selection, Opns. Res.28, ) Rubinstein, R.Y., and Melamed, 8.(1997). Modem Simulation and Modelling. New York: Wiley 51) Saaty, T.L.(1961). Elements of Queueing theory with Applications. New York: McGraw Hill 52) Schwartz, 8.(1974). Queueing models with lane selections. A new class of problems, Opns. Res.22, ) Simon, B. and Foley, R.D.(1979). "Some Results on Sojourn Times in Cyclic Jackson Networks." Manage. Sci. 25, ) Singh, H.R. and Sinha, Debmitra(2004). "Tandem queue model with branching applicable to hospital services."joumal of Science and Technology, Sambalpur University. 16(B),

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REFERENCES. [3] Ancker Jr. C. J., Gafarian A. V., Some queueing problems with balking and reneging, I. Operations Research 11, pp , 1963.

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