%0 Journal Article
%T A queueing system with a fixed accumulation level, random server capacity and capacity dependent service time
%A Jewgeni H. Dshalalow
%A Lotfi Tadj
%J International Journal of Mathematics and Mathematical Sciences
%D 1992
%I Hindawi Publishing Corporation
%R 10.1155/s0161171292000218
%X This paper introduces a bulk queueing system with a single server processing groups of customers of a variable size. If upon completion of service the queueing level is at least r the server takes a batch of size r and processes it a random time arbitrarily distributed. If the queueing level is less than r the server idles until the queue accumulates r customers in total. Then the server capacity is generated by a random number equals the batch size taken for service which lasts an arbitrarily distributed time dependent on the batch size.
%K single-server queue
%K queueing process
%K bulk dependent service
%K accumulation
%K Markov process
%K Markov Renewal process
%K semi-regenerative process.
%U http://dx.doi.org/10.1155/S0161171292000218