{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,30]],"date-time":"2025-06-30T22:41:45Z","timestamp":1751323305699,"version":"3.30.1"},"reference-count":21,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[1997,6,1]],"date-time":"1997-06-01T00:00:00Z","timestamp":865123200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers &amp; Operations Research"],"published-print":{"date-parts":[[1997,6]]},"DOI":"10.1016\/s0305-0548(96)00072-x","type":"journal-article","created":{"date-parts":[[2003,4,23]],"date-time":"2003-04-23T20:16:34Z","timestamp":1051128994000},"page":"529-538","source":"Crossref","is-referenced-by-count":11,"title":["Duality relations for queues with arrival and service control"],"prefix":"10.1016","volume":"24","author":[{"given":"Fikri","family":"Karaesmen","sequence":"first","affiliation":[]},{"given":"Surendra M.","family":"Gupta","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0305-0548(96)00072-X_BIB1","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1057\/jors.1963.63","article-title":"Queueing systems with a removable service station","volume":"14","author":"Yadin","year":"1963","journal-title":"Opl Res. Quart."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB2","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1287\/opre.16.2.362","article-title":"Optimal operating systems in M\/G\/1 queueing systems","volume":"16","author":"Heyman","year":"1968","journal-title":"Oper. Res."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB3","doi-asserted-by":"crossref","first-page":"1005","DOI":"10.1016\/0305-0548(94)00088-P","article-title":"Interrelationships between controlling arrival and service in queueing systems","volume":"22","author":"Gupta","year":"1995","journal-title":"Comp. Oper. Res."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB4","first-page":"45","article-title":"N-policy queueing system with finite population","volume":"7","author":"Gupta","year":"1995","journal-title":"Trans. Opl Res."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB5","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1057\/jors.1993.50","article-title":"Duality in truncated steady state erlang distibution based queueing processes","volume":"44","author":"Gupta","year":"1993","journal-title":"J. Opl Res. Soc."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB6","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/0898-1221(94)00152-9","article-title":"Finite source erlang based queuing systems: complementarity, equivalence and their implications","volume":"28","author":"Gupta","year":"1994","journal-title":"Comp. Math. Appl."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB7","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/0026-2714(94)90103-1","article-title":"Interrelationship between queueing models with balking and reneging and machine repair problems with warm spares","volume":"34","author":"Gupta","year":"1994","journal-title":"Microelectronics and Reliability"},{"key":"10.1016\/S0305-0548(96)00072-X_BIB8","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1145\/202100.202104","article-title":"Queueing model with state dependent balking and reneging: its complementary and equivalence","volume":"22","author":"Gupta","year":"1995","journal-title":"Performance Evaluation Review"},{"key":"10.1016\/S0305-0548(96)00072-X_BIB9","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1016\/0305-0548(94)90091-4","article-title":"Complementarity and equivalence in finite source queueing models with spares","volume":"21","author":"Gupta","year":"1994","journal-title":"Comp. Oper. Res."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB10","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1287\/opre.15.3.575","article-title":"Duality of finite Markovian queues","volume":"15","author":"Harris","year":"1967","journal-title":"Oper. Res."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB11","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0167-6377(93)90016-A","article-title":"Comments on duality of queues with finite buffer size","volume":"14","author":"Hlynka","year":"1993","journal-title":"Oper. Res. Lett."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB12","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/BF01158700","article-title":"A unified algorithm for computing the stationary queue length distributions in M(k)\/G\/1\/N and GI\/M(k)\/1\/N Queues","volume":"17","author":"Yang","year":"1994","journal-title":"Queueing Systems"},{"key":"10.1016\/S0305-0548(96)00072-X_BIB13","doi-asserted-by":"crossref","first-page":"1440","DOI":"10.1109\/9.237664","article-title":"On the duality between routing and scheduling systems with finite buffer space","volume":"38","author":"Sparragis","year":"1993","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.1016\/S0305-0548(96)00072-X_BIB14","doi-asserted-by":"crossref","first-page":"1137","DOI":"10.1287\/opre.41.6.1137","article-title":"Optimal expulsion control\u2014a dual approach to admission control of an ordered entry system","volume":"41","author":"Xu","year":"1993","journal-title":"Oper. Res."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB15","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1007\/BF01158765","article-title":"A duality approach to admission and scheduling control of queues","volume":"18","author":"Xu","year":"1994","journal-title":"Queueing Systems"},{"key":"10.1016\/S0305-0548(96)00072-X_BIB16","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1287\/mnsc.21.5.501","article-title":"Steady-state queueing time of M\/G\/1 finite capacity queue","volume":"21","author":"Lavenberg","year":"1975","journal-title":"Mgmt Sci."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB17","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1111\/j.2517-6161.1966.tb00632.x","article-title":"The Ergodic queue length distribution for queueing systems with finite capacity","volume":"28","author":"Keilson","year":"1966","journal-title":"J. Roy. Stat. Soc. Series B"},{"key":"10.1016\/S0305-0548(96)00072-X_BIB18","doi-asserted-by":"crossref","first-page":"150","DOI":"10.2307\/3518347","article-title":"Multiple channel queues in heavy traffic I","volume":"2","author":"Iglehart","year":"1970","journal-title":"Advances Appl. Probability"},{"key":"10.1016\/S0305-0548(96)00072-X_BIB19","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1287\/opre.15.2.266","article-title":"Cyclic queueing networks with restricted queue lengths","volume":"15","author":"Gordon","year":"1967","journal-title":"Oper. Res."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB20","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1016\/0377-2217(87)90045-2","article-title":"Optimal control of a removable server in an M\/G\/1 queue with finite capacity","volume":"31","author":"Teghem","year":"1987","journal-title":"Eur. J. Opl Res."},{"key":"10.1016\/S0305-0548(96)00072-X_BIB21","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1007\/BF01153527","article-title":"M\/G\/1\/K queues with N-policy and setup times","volume":"14","author":"Takagi","year":"1993","journal-title":"Queueing Systems"}],"container-title":["Computers &amp; Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S030505489600072X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S030505489600072X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,12,5]],"date-time":"2024-12-05T00:27:47Z","timestamp":1733358467000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S030505489600072X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,6]]},"references-count":21,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1997,6]]}},"alternative-id":["S030505489600072X"],"URL":"https:\/\/doi.org\/10.1016\/s0305-0548(96)00072-x","relation":{},"ISSN":["0305-0548"],"issn-type":[{"type":"print","value":"0305-0548"}],"subject":[],"published":{"date-parts":[[1997,6]]}}}