2
$\begingroup$

I am investigating functionals defined over sequences of discrete probability distributions related to dynamical/stochastic system performance. As an initial step, I am searching for references that discuss deriving the time-dependent distribution of queue length in $M_t/M_t/1/K$ queues.

Ideally, I'd like to find formulas that describe the distribution of the number of persons in the queue for a given time (i.e., $F_t$). I have found some numerical studies of various related queues, but not much in my open-source searches of the analytica/mathematical properties of these systems.

Any pointers to papers is appreciated.

$\endgroup$
2
$\begingroup$

Go for William Massey (who had a paper on Mt/Mt/1 queue asymptotics) or Ward Whitt's page (like 400 papers to explore). The latter is working on time-varying single server recently with someone called Ni Ma.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.