Queue dependent additional server queueing problem with batch arrivals

نویسندگان

  • R. L. GARG
  • S. K. KHANNA
چکیده

— We consider in this paper the steady state behaviour of a Queueing System with queue length dependent additional server facility wherein arrivais occur in batches of variable size. Whenever the queue length in front of the first server reaches a certain lenght, the system adds another server. Steady state probabilities and expected queue lengths in Single Server System and Additional Server System are calculated explicitly. Associating the costs with the opening of new server and the waiting of the customers, a criterion to obtain the Décision Point at which the application of additional server will be profitable is discussed.

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تاریخ انتشار 2017