DC Element | Wert | Sprache |
dc.contributor.author | Stadje, W | |
dc.contributor.author | Parthasarathy, PR | |
dc.date.accessioned | 2021-12-23T16:13:26Z | - |
dc.date.available | 2021-12-23T16:13:26Z | - |
dc.date.issued | 2000 | |
dc.identifier.issn | 02570130 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/10567 | - |
dc.description.abstract | We present a new approach to derive joint distributions for stationary Poisson loss systems. In particular, for M/M/m/0 and M/M/1/n we find the Laplace transforms (with respect to time t) of the probability that at time t there are i customers in the system and during [0,t], j customers are refused admission; for M/M/m/0 we further determine the LT of the probability that the system was full for less than s time units during [0,t] and serves i customers at time t. Explicit formulas for the corresponding moments are also given. | |
dc.language.iso | en | |
dc.publisher | BALTZER SCI PUBL BV | |
dc.relation.ispartof | QUEUEING SYSTEMS | |
dc.subject | Computer Science | |
dc.subject | Computer Science, Interdisciplinary Applications | |
dc.subject | generating function | |
dc.subject | joint distribution | |
dc.subject | Laplace transform | |
dc.subject | method of auxiliary functions | |
dc.subject | Operations Research & Management Science | |
dc.subject | Poisson loss system | |
dc.subject | stationary | |
dc.title | Generating function analysis of some joint distributions for Poisson loss systems | |
dc.type | journal article | |
dc.identifier.doi | 10.1023/A:1019157019655 | |
dc.identifier.isi | ISI:000087257200008 | |
dc.description.volume | 34 | |
dc.description.issue | 1-4 | |
dc.description.startpage | 183 | |
dc.description.endpage | 197 | |
dc.publisher.place | PO BOX 221, 1400 AE BUSSUM, NETHERLANDS | |
dcterms.isPartOf.abbreviation | Queueing Syst. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | StWo325 | - |