{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,26]],"date-time":"2023-04-26T09:41:11Z","timestamp":1682502071202},"reference-count":11,"publisher":"Cambridge University Press (CUP)","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2014,12]]},"abstract":"<jats:p>The stochastic sequential assignment problem assigns distinct workers to sequentially arriving tasks with stochastic parameters. In this paper the assignments are performed so as to minimize the <jats:italic>threshold probability<\/jats:italic>, which is the probability of the long-run reward per task failing to achieve a target value (threshold). As the number of tasks approaches infinity, the problem is studied for independent and identically distributed (i.i.d.) tasks with a known distribution function and also for tasks that are derived from <jats:italic>r<\/jats:italic> distinct unobservable distributions (governed by a Markov chain). Stationary optimal policies are presented, which simultaneously minimize the threshold probability and achieve the optimal long-run expected reward per task.<\/jats:p>","DOI":"10.1017\/s0021900200011906","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T14:51:14Z","timestamp":1459263074000},"page":"943-953","source":"Crossref","is-referenced-by-count":0,"title":["Limiting Behavior of the Target-Dependent Stochastic Sequential Assignment Problem"],"prefix":"10.1017","volume":"51","author":[{"given":"Golshid","family":"Baharian","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sheldon H.","family":"Jacobson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2016,2,4]]},"reference":[{"key":"S0021900200011906_ref9","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1090.0778"},{"key":"S0021900200011906_ref8","doi-asserted-by":"publisher","DOI":"10.1287\/moor.11.2.230"},{"key":"S0021900200011906_ref7","volume-title":"Markov Chains and Stochastic Stability","year":"1993"},{"key":"S0021900200011906_ref6","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.18.7.349"},{"key":"S0021900200011906_ref5","doi-asserted-by":"publisher","DOI":"10.1002\/nav.21536"},{"key":"S0021900200011906_ref10","doi-asserted-by":"publisher","DOI":"10.1287\/trsc.1070.0198"},{"key":"S0021900200011906_ref3","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.24.4.432"},{"key":"S0021900200011906_ref2","doi-asserted-by":"publisher","DOI":"10.1002\/nav.3800230114"},{"key":"S0021900200011906_ref1","doi-asserted-by":"publisher","DOI":"10.1287\/opre.22.1.61"},{"key":"S0021900200011906_ref11","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1040.0180"},{"key":"S0021900200011906_ref4","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.19.1.46"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200011906","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,26]],"date-time":"2023-04-26T09:16:00Z","timestamp":1682500560000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200011906\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12]]},"references-count":11,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["S0021900200011906"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200011906","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"value":"0021-9002","type":"print"},{"value":"1475-6072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,12]]}}}