id: 02108779
dt: j
an: 02108779
au: Malinkovskiĭ, Yu.V.; Yakubovich, O.V.
ti: Instant-service queueing networks. I: Single-type customer model.
so: Autom. Remote Control 59, No. 1, Part 2, 78-89 (1998); translation from
    Avtom. Telemekh. 1998, No. 1, 92-106 (1998).
py: 1998
pu: MAIK Nauka/Interperiodica Publishing, Moscow; Springer, New York, NY
la: EN
cc: 
ut: 
ci: Zbl 1060.60506
li: 
ab: Summary: Two classes of queueing networks are investigated, in which
    customers either join the queue at a server with some probability or
    instantly jockey with some additional probability to another server
    according to a routing matrix. For the first class, the probability
    that a customer joins a particular server depends on the queue size at
    the server and number of the server from which he jockeyed (customers
    who arrive from outside are assigned a zero serial number), whereas for
    the second class it depends on the server state. The first class
    includes both open and closed networks, whereas the second class
    consists only of open networks. For open networks, arrivals are assumed
    to be simple. The service times at servers of the first class are
    exponentially distributed, whereas at isolated servers of the second
    class they are quasiinverse Markov processes. The stationary
    distribution for both classes is multiplicative, and the arrivals for
    the second class are independent Poisson inputs. For Part II, see {\it
    A. V. Krylenko} and the first author, ibid. 59, No. 2, 204‒212 (1998;
    Zbl 1060.60506).
rv: