{"type":"journal_article","page":"121-135","publisher":"INFORMS","status":"public","user_id":"85821","language":[{"iso":"eng"}],"date_updated":"2022-09-14T04:52:19Z","year":"2015","citation":{"mla":"Kolb, Martin, et al. “The Rate of Convergence to Stationarity for M/G/1 Models with Admission Controls via Coupling.” <i>Stochastic Models</i>, vol. 32, no. 1, INFORMS, 2015, pp. 121–35, doi:<a href=\"http://dx.doi.org/10.1080/15326349.2015.1090322\">http://dx.doi.org/10.1080/15326349.2015.1090322</a>.","ieee":"M. Kolb, W. Stadje, and A. Wübker, “The rate of convergence to stationarity for M/G/1 models with admission controls via coupling,” <i>Stochastic Models</i>, vol. 32, no. 1, pp. 121–135, 2015, doi: <a href=\"http://dx.doi.org/10.1080/15326349.2015.1090322\">http://dx.doi.org/10.1080/15326349.2015.1090322</a>.","short":"M. Kolb, W. Stadje, A. Wübker, Stochastic Models 32 (2015) 121–135.","chicago":"Kolb, Martin, Wolfgang Stadje, and Achim Wübker. “The Rate of Convergence to Stationarity for M/G/1 Models with Admission Controls via Coupling.” <i>Stochastic Models</i> 32, no. 1 (2015): 121–35. <a href=\"http://dx.doi.org/10.1080/15326349.2015.1090322\">http://dx.doi.org/10.1080/15326349.2015.1090322</a>.","ama":"Kolb M, Stadje W, Wübker A. The rate of convergence to stationarity for M/G/1 models with admission controls via coupling. <i>Stochastic Models</i>. 2015;32(1):121-135. doi:<a href=\"http://dx.doi.org/10.1080/15326349.2015.1090322\">http://dx.doi.org/10.1080/15326349.2015.1090322</a>","bibtex":"@article{Kolb_Stadje_Wübker_2015, title={The rate of convergence to stationarity for M/G/1 models with admission controls via coupling}, volume={32}, DOI={<a href=\"http://dx.doi.org/10.1080/15326349.2015.1090322\">http://dx.doi.org/10.1080/15326349.2015.1090322</a>}, number={1}, journal={Stochastic Models}, publisher={INFORMS}, author={Kolb, Martin and Stadje, Wolfgang and Wübker, Achim}, year={2015}, pages={121–135} }","apa":"Kolb, M., Stadje, W., &#38; Wübker, A. (2015). The rate of convergence to stationarity for M/G/1 models with admission controls via coupling. <i>Stochastic Models</i>, <i>32</i>(1), 121–135. <a href=\"http://dx.doi.org/10.1080/15326349.2015.1090322\">http://dx.doi.org/10.1080/15326349.2015.1090322</a>"},"publication":"Stochastic Models","department":[{"_id":"96"}],"_id":"33358","author":[{"last_name":"Kolb","first_name":"Martin","full_name":"Kolb, Martin","id":"48880"},{"last_name":"Stadje","first_name":"Wolfgang","full_name":"Stadje, Wolfgang"},{"full_name":"Wübker, Achim","last_name":"Wübker","first_name":"Achim"}],"title":"The rate of convergence to stationarity for M/G/1 models with admission controls via coupling","intvolume":"        32","abstract":[{"text":"We study the workload processes of two M/G/1 queueing systems with restricted capacity: in Model 1 any service requirement that would exceed a certain capacity threshold is truncated; in Model 2 new arrivals do not enter the system if they have to wait more than a fixed threshold time in line. For Model 1 we obtain several results concerning the rate of convergence to equilibrium. In particular, we derive uniform bounds for geometric ergodicity with respect to certain subclasses. For Model 2 geometric ergodicity follows from the finiteness of the moment-generating function of the service time distribution. We derive bounds for the convergence rates in special cases. The proofs use the coupling method.","lang":"eng"}],"date_created":"2022-09-14T04:52:15Z","volume":32,"issue":"1","doi":"http://dx.doi.org/10.1080/15326349.2015.1090322","publication_status":"published"}