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Finite Population Loss And Delay Queueing System With Nopassing

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Abstract

A loss and delay queueing system with nopassing has been investigated in this paper. Due to restriction of nopassing the customers are allowed to depart from the system in the chronological Oder of their arrival. The customers are classfied into two classes depending upon whether they can wait or are lost when all servers are busy. The customers arriving in Poisson fashion from infinite\finite population at service facility having multi-servers, are served exponentially. The expressions for the expected waiting time are derived explicitly by using queue size distribution of the number of customers present in the system. The numerical results for the expected waiting time, and the difference between expected waiting times of customers having exponential service time and zero service time have been provided in tables for finite capacity and finite population models. The relevant graphs have also been drawn to visualise the effects of traffic intensity.

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References

  1. WASHBURN, A. (1974): A multh-server queue with nopassing, Oper. Res. 22, pp. 428–434.

    Article  Google Scholar 

  2. SHARMA, M.B., KUMAR, G.C. (1983): A limited multi-server queue without passing, Indian J. Pure Appl. Math. 14 (8), pp. 935–939.

    Google Scholar 

  3. JAIN, M., SHARMA, B. AND SHARMA, G.C. (1989): On nopassing multi-server queueing model with two types of customers and discouragement, J. Math. Phy. Sci. 23(4), pp. 319–329.

    Google Scholar 

  4. SHONICK, W. (1970): A stochastic model for occupancy-related random variables in general acute hospitals. J. Am. Stat. Asso. 65, pp. 1974–1500.

    Article  Google Scholar 

  5. AKINPELU, J. AND SHOOG, R. (1985): Controlling transients and overloads in common channel signaling networks. Teletraffici issue in advanced information Soc., pp. 996–1002.

    Google Scholar 

  6. SHORE, H. (1988): Sample approximation for GIGC queue II: The moments, the inverse distribution function and loss function of the number in the system and of the queue delay, J. Appl. Res. Soc. 39(4), pp. 381–391.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India

    Madhu Jain

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  1. Madhu Jain
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Jain, M. Finite Population Loss And Delay Queueing System With Nopassing. OPSEARCH 35, 261–276 (1998). https://doi.org/10.1007/BF03399219

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  • DOI: https://doi.org/10.1007/BF03399219

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