{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T19:28:06Z","timestamp":1773170886386,"version":"3.50.1"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2017,4,3]],"date-time":"2017-04-03T00:00:00Z","timestamp":1491177600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Queueing Syst"],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1007\/s11134-017-9521-6","type":"journal-article","created":{"date-parts":[[2017,4,3]],"date-time":"2017-04-03T12:58:10Z","timestamp":1491224290000},"page":"141-212","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["An equilibrium analysis of a discrete-time Markovian queue with endogenous abandonments"],"prefix":"10.1007","volume":"86","author":[{"given":"Baris","family":"Ata","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter W.","family":"Glynn","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoshan","family":"Peng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,4,3]]},"reference":[{"key":"9521_CR1","unstructured":"Af\u00e8che, P., Sarhangian, V.: Rational abandonment from priority queues: equilibrium strategy and pricing implications. Working paper (2017)"},{"key":"9521_CR2","doi-asserted-by":"publisher","first-page":"665","DOI":"10.1111\/j.1937-5956.2007.tb00288.x","volume":"16","author":"Z Aksin","year":"2007","unstructured":"Aksin, Z., Armony, M., Mehrotra, V.: The modern call-center: a multi-disciplinary perspective on operations management research. Prod. Oper. Manag. 16, 665\u2013688 (2007)","journal-title":"Prod. Oper. Manag."},{"issue":"12","key":"9521_CR3","doi-asserted-by":"publisher","first-page":"2727","DOI":"10.1287\/mnsc.2013.1730","volume":"59","author":"Z Aksin","year":"2013","unstructured":"Aksin, Z., Ata, B., Emadi, S., Su, C.: Structural estimation of callers\u2019 delay sensitivity in call centers. Manag. Sci. 59(12), 2727\u20132746 (2013)","journal-title":"Manag. Sci."},{"issue":"1","key":"9521_CR4","doi-asserted-by":"publisher","first-page":"242","DOI":"10.1287\/opre.2016.1542","volume":"65","author":"Z Aksin","year":"2017","unstructured":"Aksin, Z., Ata, B., Emadi, S., Su, C.: Impact of delay announcements in call centers: an empirical approach. Oper. Res. 65(1), 242\u2013265 (2017)","journal-title":"Oper. Res."},{"key":"9521_CR5","volume-title":"Infinite Dimensional Analysis: A Hitchhiker\u2019s Guide","author":"CD Aliprantis","year":"2007","unstructured":"Aliprantis, C.D., Border, K.C.: Infinite Dimensional Analysis: A Hitchhiker\u2019s Guide. Springer, New York (2007)"},{"key":"9521_CR6","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/2450.001.0001","volume-title":"Discrete Choice Theory of Product Differentiation","author":"SP Anderson","year":"1992","unstructured":"Anderson, S.P., de Palma, A., Thisse, J.: Discrete Choice Theory of Product Differentiation. The MIT Press, Cambridge, MA (1992)"},{"key":"9521_CR7","volume-title":"Calculus","author":"TM Apostol","year":"1969","unstructured":"Apostol, T.M.: Calculus, vol. 2. Wiley, Hoboken (1969)"},{"issue":"1","key":"9521_CR8","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1287\/opre.1080.0533","volume":"50","author":"M Armony","year":"2009","unstructured":"Armony, M., Shimkin, N., Whitt, W.: The impact of delay announcements in many-server queues with abandonment. Oper. Res. 50(1), 66\u201381 (2009)","journal-title":"Oper. Res."},{"issue":"1","key":"9521_CR9","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1287\/moor.15.1.129","volume":"15","author":"D Assaf","year":"1990","unstructured":"Assaf, D., Haviv, M.: Reneging from processor sharing systems and random queues. Math. Oper. Res. 15(1), 129\u2013138 (1990)","journal-title":"Math. Oper. Res."},{"key":"9521_CR10","doi-asserted-by":"crossref","unstructured":"Ata, B., Peng, X.: An equilibrium analysis of a multiclass queue with endogenous abandonments in the conventional heavy traffic regime. Working paper (2017)","DOI":"10.2139\/ssrn.2944797"},{"key":"9521_CR11","doi-asserted-by":"publisher","unstructured":"Ata, B., Skaro, A., Tayur, S.: OrganJet: overcoming geographical disparities in access to deceased donor kidneys in the United States. Manag. Sci. (2017, forthcoming). doi: 10.1287\/mnsc.2016.2487","DOI":"10.1287\/mnsc.2016.2487"},{"issue":"1","key":"9521_CR12","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/s11134-012-9326-6","volume":"74","author":"B Ata","year":"2013","unstructured":"Ata, B., Tongarlak, M.H.: On scheduling a multiclass queue with abandonments under general delay costs. Queueing Syst. 74(1), 65\u2013104 (2013)","journal-title":"Queueing Syst."},{"key":"9521_CR13","first-page":"159","volume-title":"Performance 81","author":"F Baccelli","year":"1981","unstructured":"Baccelli, F., Hebuterne, G.: On queues with impatient customers. In: Kylstra, F. (ed.) Performance 81, pp. 159\u2013179. North Holland, Amsterdam (1981)"},{"key":"9521_CR14","doi-asserted-by":"publisher","first-page":"887","DOI":"10.1017\/S0001867800022989","volume":"16","author":"F Baccelli","year":"1984","unstructured":"Baccelli, F., Boyer, P., Hebuterne, G.: Single-server queues with impatient customers. Adv. Appl. Probab. 16, 887\u2013905 (1984)","journal-title":"Adv. Appl. Probab."},{"key":"9521_CR15","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/s11134-010-9205-y","volume":"67","author":"O Boxma","year":"2011","unstructured":"Boxma, O., Perry, D., Stadje, W.: The M\/G\/1+G queue revisited. Queueing Syst. 67, 207\u2013220 (2011)","journal-title":"Queueing Syst."},{"key":"9521_CR16","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1023\/A:1019160803783","volume":"30","author":"M Bramson","year":"1998","unstructured":"Bramson, M.: State space collapse with application to heavy traffic limits for multiclass queueing networks. Queueing Syst. 30, 89\u2013140 (1998)","journal-title":"Queueing Syst."},{"key":"9521_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0166-5316(98)00042-X","volume":"35","author":"A Brandt","year":"1999","unstructured":"Brandt, A., Brandt, M.: On the $$M(n)\/M(n)\/s$$ M ( n ) \/ M ( n ) \/ s queue with impatient calls. Perform. Eval. 35, 1\u201318 (1999)","journal-title":"Perform. Eval."},{"issue":"5","key":"9521_CR18","doi-asserted-by":"publisher","first-page":"1854","DOI":"10.1214\/09-AAP674","volume":"20","author":"JG Dai","year":"2010","unstructured":"Dai, J.G., He, S., Tezcan, T.: Many-server diffusion limits for $$G\/Ph\/n+GI$$ G \/ P h \/ n + G I queues. Ann. Appl. Probab. 20(5), 1854\u20131890 (2010)","journal-title":"Ann. Appl. Probab."},{"key":"9521_CR19","doi-asserted-by":"publisher","first-page":"615","DOI":"10.1080\/07362990600632029","volume":"24","author":"P Moral Del","year":"2006","unstructured":"Del Moral, P., Miclo, L.: Self-interacting Markov chains. Stoch. Anal. Appl. 24, 615\u2013660 (2006)","journal-title":"Stoch. Anal. Appl."},{"key":"9521_CR20","doi-asserted-by":"publisher","first-page":"4552","DOI":"10.1093\/biomet\/47.1-2.45","volume":"47","author":"PD Finch","year":"1960","unstructured":"Finch, P.D.: Deterministic customer impatience in the queueing system GI\/M\/1. Biometrika 47, 4552 (1960)","journal-title":"Biometrika"},{"key":"9521_CR21","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1287\/msom.5.2.79.16071","volume":"5","author":"N Gans","year":"2003","unstructured":"Gans, N., Koole, G., Mandelbaum, A.: Telephone call centers: tutorial, review and research prospects. Manuf. Serv. Oper. Manag. 5, 73\u2013141 (2003)","journal-title":"Manuf. Serv. Oper. Manag."},{"key":"9521_CR22","doi-asserted-by":"publisher","first-page":"1349","DOI":"10.1287\/mnsc.23.12.1349","volume":"23","author":"B Gavish","year":"1977","unstructured":"Gavish, B., Schweitzer, P.J.: The Markovian queue with bounded waiting time. Manag. Sci. 23, 1349\u20131357 (1977)","journal-title":"Manag. Sci."},{"issue":"1","key":"9521_CR23","doi-asserted-by":"publisher","first-page":"201","DOI":"10.2307\/1911731","volume":"53","author":"R Hassin","year":"1985","unstructured":"Hassin, R.: On the optimality of first come last served queues. Econometrica 53(1), 201\u2013202 (1985)","journal-title":"Econometrica"},{"key":"9521_CR24","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/0167-6377(94)00049-C","volume":"1995","author":"R Hassin","year":"1995","unstructured":"Hassin, R., Haviv, M.: Equilibrium strategies for queues with impatient customers. Oper. Res. Lett. 1995, 41\u201345 (1995)","journal-title":"Oper. Res. Lett."},{"key":"9521_CR25","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-0359-0","volume-title":"To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems","author":"R Hassin","year":"2003","unstructured":"Hassin, R., Haviv, M.: To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems. Kluwer Academic Publishers, Berlin (2003)"},{"key":"9521_CR26","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1023\/A:1010908330518","volume":"38","author":"M Haviv","year":"2001","unstructured":"Haviv, M., Ritov, Y.: Homogeneous customers renege from invisible queues at random times under deteriorating waiting conditions. Queueing Syst. 38, 495\u2013508 (2001)","journal-title":"Queueing Syst."},{"key":"9521_CR27","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1007\/s11134-016-9493-y","volume":"84","author":"O Jennings","year":"2016","unstructured":"Jennings, O., Pender, J.: Comparisons of standard and ticket queues. Queueing Syst. 84, 145\u2013202 (2016)","journal-title":"Queueing Syst."},{"key":"9521_CR28","doi-asserted-by":"crossref","unstructured":"Kuzu, K., Xu, S.H., Gao, L.: To wait or not to wait: The theory and practice of ticket queues. Working Paper (2017)","DOI":"10.2139\/ssrn.3039117"},{"key":"9521_CR29","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139026079","volume-title":"Nonlinear Perron-Frobenius Theory","author":"B Lemmens","year":"2012","unstructured":"Lemmens, B., Nussbaum, N.: Nonlinear Perron-Frobenius Theory. Cambridge University Press, Cambridge (2012)"},{"key":"9521_CR30","unstructured":"Maglaras, C., Yao, J., Zeevi, A.: Observational learning in queues with abandonments. Working paper.(2017)"},{"issue":"1","key":"9521_CR31","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.: A model for rational abandonments from invisible queues. Math. Oper. Res. 37(1), 41\u201365 (2012)","journal-title":"Math. Oper. Res."},{"key":"9521_CR32","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1023\/A:1019131203242","volume":"36","author":"A Mandelbaum","year":"2000","unstructured":"Mandelbaum, A., Shimkin, N.: Queues with many servers and impatient customers. Queueing Syst. 36, 141\u2013173 (2000)","journal-title":"Queueing Syst."},{"issue":"1","key":"9521_CR33","doi-asserted-by":"publisher","first-page":"15","DOI":"10.2307\/1909200","volume":"37","author":"P Naor","year":"1969","unstructured":"Naor, P.: The regulation of queue size by levying tolls. Econometrica 37(1), 15\u201324 (1969)","journal-title":"Econometrica"},{"issue":"3","key":"9521_CR34","doi-asserted-by":"publisher","first-page":"606","DOI":"10.1287\/moor.1070.0303","volume":"33","author":"J Reed","year":"2008","unstructured":"Reed, J., Ward, A.R.: Approximating the GI\/GI\/1+GI queue with a nonlinear drift diffusion: Hazard rate scaling in heavy traffic. Math. Oper. Res. 33(3), 606\u2013644 (2008)","journal-title":"Math. Oper. Res."},{"issue":"1","key":"9521_CR35","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1287\/opre.1080.0532","volume":"57","author":"M Rubino","year":"2009","unstructured":"Rubino, M., Ata, B.: Dynamic control of a make-to-order, parallel-server system with cancellations. Oper. Res. 57(1), 94\u2013108 (2009)","journal-title":"Oper. Res."},{"key":"9521_CR36","volume-title":"Principles of Mathematical Analysis","author":"W Rudin","year":"1976","unstructured":"Rudin, W.: Principles of Mathematical Analysis. McGraw-Hill, New York (1976)"},{"key":"9521_CR37","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1023\/B:QUES.0000032804.57988.f3","volume":"47","author":"N Shimkin","year":"2004","unstructured":"Shimkin, N., Mandelbaum, A.: Rational abandonment from tele-queues: nonlinear waiting costs with heterogeneous preferences. Queueing Syst. 47, 117\u2013146 (2004)","journal-title":"Queueing Syst."},{"key":"9521_CR38","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1287\/moor.4.2.162","volume":"4","author":"RE Stanford","year":"1979","unstructured":"Stanford, R.E.: Reneging phenomena in single channel queues. Math. Oper. Res. 4, 162\u2013178 (1979)","journal-title":"Math. Oper. Res."},{"key":"9521_CR39","doi-asserted-by":"crossref","DOI":"10.2307\/j.ctvjnrt76","volume-title":"Recursive Methods in Economic Dynamics","author":"NL Stokey","year":"1989","unstructured":"Stokey, N.L., Lucas, R.E.: Recursive Methods in Economic Dynamics. Harvard University Press, Cambridge (1989)"},{"issue":"1","key":"9521_CR40","first-page":"1","volume":"16","author":"AR Ward","year":"2011","unstructured":"Ward, A.R.: Asymptotic analysis of queueing systems with reneging: a survey of results for FIFO, single class models. Surv. Math. Oper. Res. Manag. Sci. 16(1), 1\u201314 (2011)","journal-title":"Surv. Math. Oper. Res. Manag. Sci."},{"key":"9521_CR41","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1007\/s11134-005-3282-3","volume":"43","author":"AR Ward","year":"2005","unstructured":"Ward, A.R., Glynn, P.W.: A diffusion approximation for a $$GI\/GI\/1$$ G I \/ G I \/ 1 queue with balking or reneging. Queueing Syst. 43, 371\u2013400 (2005)","journal-title":"Queueing Syst."},{"key":"9521_CR42","volume-title":"Nonlinear functional analysis and its applications: I: Fixed-point theorems","author":"E Zeidler","year":"1998","unstructured":"Zeidler, E.: Nonlinear functional analysis and its applications: I: Fixed-point theorems. Springer, New York (1998)"},{"issue":"4","key":"9521_CR43","doi-asserted-by":"publisher","first-page":"566","DOI":"10.1287\/mnsc.48.4.566.211","volume":"48","author":"E Zohar","year":"2002","unstructured":"Zohar, E., Mandelbaum, A., Shimkin, N.: Adaptive behavior of impatient customers in tele queues: theory and empirical support. Manag. Sci. 48(4), 566\u2013583 (2002)","journal-title":"Manag. Sci."}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-017-9521-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11134-017-9521-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11134-017-9521-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,20]],"date-time":"2019-09-20T15:00:52Z","timestamp":1568991652000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11134-017-9521-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,3]]},"references-count":43,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2017,6]]}},"alternative-id":["9521"],"URL":"https:\/\/doi.org\/10.1007\/s11134-017-9521-6","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"value":"0257-0130","type":"print"},{"value":"1572-9443","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4,3]]}}}