{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:50:08Z","timestamp":1750308608781,"version":"3.41.0"},"reference-count":0,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2018,3,20]],"date-time":"2018-03-20T00:00:00Z","timestamp":1521504000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGMETRICS Perform. Eval. Rev."],"published-print":{"date-parts":[[2018,3,20]]},"abstract":"<jats:p>Heavy traffic limits of queueing systems have been studied in the literature using fluid and diffusion limits. Recently, a new method called the 'Drift Method' has been developed to study these limits. In the drift method, a function of the queue lengths is picked and its drift is set to zero in steady-state, to obtain bounds on the steady-state queue lengths that are tight in the heavy-traffic limit. The key is to establish an appropriate notion of state-space collapse in terms of steady-state moments of weighted queue length differences, and use this state-space collapse result when setting the drift equal to zero. These moment bounds involved in state space collapse are also obtained by drift arguments similar to the well-known Foster-Lyapunov theorem. We will apply the methodology to study routing, scheduling, and other resource allocation problems that arise in data centers and cloud computing systems.<\/jats:p>","DOI":"10.1145\/3199524.3199570","type":"journal-article","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T15:17:48Z","timestamp":1521731868000},"page":"250-250","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Stein's Method for Steady-State Approximations: Error Bounds and Engineering Solutions"],"prefix":"10.1145","volume":"45","author":[{"given":"Anton","family":"Braverman","sequence":"first","affiliation":[{"name":"Northwestern University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jim","family":"Dai","sequence":"additional","affiliation":[{"name":"Cornell University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2018,3,20]]},"container-title":["ACM SIGMETRICS Performance Evaluation Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3199524.3199570","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3199524.3199570","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T19:07:18Z","timestamp":1750273638000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3199524.3199570"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,20]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,3,20]]}},"alternative-id":["10.1145\/3199524.3199570"],"URL":"https:\/\/doi.org\/10.1145\/3199524.3199570","relation":{},"ISSN":["0163-5999"],"issn-type":[{"type":"print","value":"0163-5999"}],"subject":[],"published":{"date-parts":[[2018,3,20]]},"assertion":[{"value":"2018-03-20","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}