{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T12:18:27Z","timestamp":1759666707485,"version":"3.37.3"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2017,2,23]],"date-time":"2017-02-23T00:00:00Z","timestamp":1487808000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/I017127\/1"],"award-info":[{"award-number":["EP\/I017127\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s11134-017-9516-3","type":"journal-article","created":{"date-parts":[[2017,2,23]],"date-time":"2017-02-23T04:18:45Z","timestamp":1487823525000},"page":"1-33","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Fluid and diffusion approximations of probabilistic matching systems"],"prefix":"10.1007","volume":"86","author":[{"given":"Burak","family":"B\u00fcke","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hanyi","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,2,23]]},"reference":[{"issue":"2","key":"9516_CR1","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1287\/opre.1110.1027","volume":"60","author":"I Adan","year":"2012","unstructured":"Adan, I., Weiss, G.: Exact FCFS matching rates for two infinite multi-type sequences. Oper. Res. 60(2), 475\u2013489 (2012)","journal-title":"Oper. Res."},{"key":"9516_CR2","doi-asserted-by":"publisher","DOI":"10.1002\/9780470316962","volume-title":"Convergence of Probability Measures","author":"P Billingsley","year":"1999","unstructured":"Billingsley, P.: Convergence of Probability Measures. Wiley, New York (1999)"},{"issue":"1","key":"9516_CR3","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/s11134-015-9433-2","volume":"80","author":"B B\u00fcke","year":"2015","unstructured":"B\u00fcke, B., Chen, H.: Stabilizing policies for probabilistic matching systems. Queue. Syst. 80(1), 35\u201369 (2015)","journal-title":"Queue. Syst."},{"issue":"2","key":"9516_CR4","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1017\/S0001867800006364","volume":"45","author":"A Bu\u0161i\u0107","year":"2013","unstructured":"Bu\u0161i\u0107, A., Gupta, V., Mairesse, J.: Stability of the bipartite matching model. Adv. Appl. Probab. 45(2), 351\u2013378 (2013)","journal-title":"Adv. Appl. Probab."},{"issue":"3","key":"9516_CR5","doi-asserted-by":"publisher","first-page":"695","DOI":"10.1017\/S0001867800003530","volume":"41","author":"R Caldentey","year":"2009","unstructured":"Caldentey, R., Kaplan, E., Weiss, G.: FCFS infinite bipartite matching of servers and customers. Adv. Appl. Probab. 41(3), 695\u2013730 (2009)","journal-title":"Adv. Appl. Probab."},{"key":"9516_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-5301-1","volume-title":"Fundamentals of Queuing Networks, Performance, Asymptotics, and Optimization","author":"H Chen","year":"2001","unstructured":"Chen, H., Yao, D.D.: Fundamentals of Queuing Networks, Performance, Asymptotics, and Optimization. Springer, New York (2001)"},{"issue":"2","key":"9516_CR7","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1287\/moor.1100.0443","volume":"35","author":"JG Dai","year":"2010","unstructured":"Dai, J.G., He, S.: Customer abandonment in many-server queues. Math. Oper. Res. 35(2), 347\u2013362 (2010)","journal-title":"Math. Oper. Res."},{"issue":"1A","key":"9516_CR8","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1214\/105051604000000567","volume":"15","author":"RWR Darling","year":"2005","unstructured":"Darling, R.W.R., Norris, J.R.: Structure of large random hypergraphs. Ann. Appl. Probab. 15(1A), 125\u2013152 (2005)","journal-title":"Ann. Appl. Probab."},{"issue":"3","key":"9516_CR9","first-page":"208","volume":"4","author":"O Garnett","year":"2002","unstructured":"Garnett, O., Mandelbaum, A., Reiman, M.: Designing a call center with impatient customers. Manuf. Oper. Res. 4(3), 208\u2013227 (2002)","journal-title":"Manuf. Oper. Res."},{"key":"9516_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1214\/13-SSY097","volume":"4","author":"I Gurvich","year":"2014","unstructured":"Gurvich, I., Ward, A.R.: On the dynamic control of matching queues. Stoch. Syst. 4, 1\u201345 (2014)","journal-title":"Stoch. Syst."},{"issue":"3","key":"9516_CR11","doi-asserted-by":"publisher","first-page":"567","DOI":"10.1287\/opre.29.3.567","volume":"29","author":"S Halfin","year":"1981","unstructured":"Halfin, S., Whitt, W.: Heavy-traffic limits for queues with many exponential servers. Oper. Res. 29(3), 567\u2013588 (1981)","journal-title":"Oper. Res."},{"issue":"5","key":"9516_CR12","doi-asserted-by":"publisher","first-page":"822","DOI":"10.1287\/opre.14.5.822","volume":"14","author":"BRK Kashyap","year":"1966","unstructured":"Kashyap, B.R.K.: The double-ended queue with bulk service and limited waiting space. Oper. Res. 14(5), 822\u2013834 (1966)","journal-title":"Oper. Res."},{"key":"9516_CR13","volume-title":"Numerical Solution of Stochastic Differential Equations","author":"PE Kloeden","year":"1999","unstructured":"Kloeden, P.E., Platen, E.: Numerical Solution of Stochastic Differential Equations. Springer, New York (1999)"},{"issue":"1","key":"9516_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1214\/13-SSY113","volume":"5","author":"X Liu","year":"2015","unstructured":"Liu, X., Gong, Q., Kulkarni, V.G.: Diffusion models for double-ended queues with renewal arrival processes. Stoch. Syst. 5(1), 1\u201361 (2015)","journal-title":"Stoch. Syst."},{"key":"9516_CR15","doi-asserted-by":"publisher","unstructured":"Mairesse, J., Moyal, P.: Stability of the stochastic matching model. J. Appl. Probab. 53(4), 1064\u20131077 (2016)","DOI":"10.1017\/jpr.2016.65"},{"issue":"1","key":"9516_CR16","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1287\/moor.1110.0530","volume":"37","author":"A Mandelbaum","year":"2012","unstructured":"Mandelbaum, A., Mom\u010dilovi\u0107, P.: Queues with many servers and impatient customers. Math. Oper. Res. 37(1), 41\u201365 (2012)","journal-title":"Math. Oper. Res."},{"key":"9516_CR17","volume-title":"Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Studies in Nonlinearity)","author":"SH Strogatz","year":"1994","unstructured":"Strogatz, S.H.: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Studies in Nonlinearity). Westview Press, Boulder (1994)"},{"issue":"1\/2","key":"9516_CR18","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1023\/A:1021804515162","volume":"43","author":"AR Ward","year":"2003","unstructured":"Ward, A.R., Glynn, P.W.: A diffusion approximation for a Markovian queue with reneging. Queue. Syst. 43(1\/2), 103\u2013128 (2003)","journal-title":"Queue. Syst."},{"issue":"4","key":"9516_CR19","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1007\/s11134-005-3282-3","volume":"50","author":"AR Ward","year":"2005","unstructured":"Ward, A.R., Glynn, P.W.: A diffusion approximation for a \n                        $${GI\/GI\/1}$$\n                        \n                            \n                                            \n                                \n                                    G\n                                    I\n                                    \/\n                                    G\n                                    I\n                                    \/\n                                    1\n                                \n                            \n                        \n                     queue with balking or reneging. Queue. Syst. 50(4), 371\u2013400 (2005)","journal-title":"Queue. Syst."},{"key":"9516_CR20","volume-title":"Stochastic-Process Limits: An Introduction to Stochastic-Process Limits and their Application to Queues","author":"W Whitt","year":"2001","unstructured":"Whitt, W.: Stochastic-Process Limits: An Introduction to Stochastic-Process Limits and their Application to Queues. Springer, Florham Park (2001)"}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-017-9516-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11134-017-9516-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-017-9516-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,4,29]],"date-time":"2017-04-29T03:02:03Z","timestamp":1493434923000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11134-017-9516-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,23]]},"references-count":20,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["9516"],"URL":"https:\/\/doi.org\/10.1007\/s11134-017-9516-3","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"type":"print","value":"0257-0130"},{"type":"electronic","value":"1572-9443"}],"subject":[],"published":{"date-parts":[[2017,2,23]]}}}