{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T14:32:12Z","timestamp":1743517932527,"version":"3.40.3"},"reference-count":14,"publisher":"Scientific and Business World","license":[{"start":{"date-parts":[[2011,5,30]],"date-time":"2011-05-30T00:00:00Z","timestamp":1306713600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Decision Sciences"],"published-print":{"date-parts":[[2011,5,30]]},"abstract":"<jats:p>We introduce a Markov decision process in continuous time for the optimal control of a simple symmetrical immigration-emigration process by the introduction of total catastrophes. It is proved that a particular control-limit policy is average cost optimal within the class of all stationary policies by verifying that the relative values of this policy are the solution of the corresponding optimality equation.<\/jats:p>","DOI":"10.1155\/2011\/617812","type":"journal-article","created":{"date-parts":[[2011,5,30]],"date-time":"2011-05-30T19:35:21Z","timestamp":1306784121000},"page":"1-11","source":"Crossref","is-referenced-by-count":1,"title":["Explicit Solution of the Average-Cost Optimality Equation for a Pest-Control Problem"],"prefix":"10.47654","volume":"2011","author":[{"given":"Epaminondas G.","family":"Kyriakidis","sequence":"first","affiliation":[{"name":"Department of Statistics, Athens University of Economics and Business, Patission 76, 10434 Athens, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"52777","reference":[{"year":"1957","key":"2"},{"year":"1982","key":"3"},{"year":"1992","key":"10"},{"year":"1982","key":"13"},{"year":"1983","key":"14"},{"year":"1994","key":"9"},{"year":"1999","key":"11"},{"year":"1994","key":"12"},{"issue":"3","key":"8","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1016\/0022-247X(68)90194-7","volume":"22","year":"1968","journal-title":"Journal of Mathematical Analysis and Applications"},{"issue":"1","key":"1","doi-asserted-by":"crossref","first-page":"144","DOI":"10.2307\/1426026","volume":"8","year":"1976","journal-title":"Advances in Applied Probability"},{"key":"4","doi-asserted-by":"crossref","first-page":"274","DOI":"10.2307\/1426437","volume":"15","year":"1983","journal-title":"Advances in Applied Probability"},{"key":"5","first-page":"873","volume":"27","year":"1989","journal-title":"Journal of Applied Probability"},{"issue":"2","key":"6","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/0377-2217(93)E0310-T","volume":"81","year":"1995","journal-title":"European Journal of Operational Research"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(02)00855-X"}],"container-title":["Advances in Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/617812.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/617812.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/617812.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T16:09:52Z","timestamp":1601309392000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/archive\/2011\/617812\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,5,30]]},"references-count":14,"alternative-id":["617812","617812"],"URL":"https:\/\/doi.org\/10.1155\/2011\/617812","relation":{},"ISSN":["2090-3359","2090-3367"],"issn-type":[{"type":"print","value":"2090-3359"},{"type":"electronic","value":"2090-3367"}],"subject":[],"published":{"date-parts":[[2011,5,30]]}}}