A limited space, fluctuating (0, λ) input source queueing problem with death and birth rates of the input source depending on queue length

Abstract

The author of this articie cor~siders a iilniteci-space, single-channei, first come first served queueing system with ‘flutuating (0, λ) input source’.The death and birth rates of the input source depend on queue length. Free use is made of probability generating functios and LAPLACE transforms. The steady state solution is derived, too.