00860nas a2200181 4500000000100000000000100001008004100002260001300043100002000056700001600076700002200092700001400114700001300128245002200141490000800163520048500171020002200656 2012 d bSpringer1 aOleg Tikhonenko1 aM. Karwacka1 aAndrzej KwiecieĊ„1 aPiotr Gaj1 aP. Stera00aComputer Networks0 v2913 aWe investigate single server queueing systems with batch Poisson arrivals and without demands losses under assumption that each demand has some random capacity (generally, each demand is characterized by l-dimensional indication vector). Service time of the demand arbitrary depends on its capacity (incication). The Laplace-Stieltjes transform of total capacities (random vector of sum of indications) of demands that were served during a busy period of the system is determined. a978-3-642-31216-8