The Co-Production of Service: Modeling Services in Contact Centers Using Hawkes Processes

References

• Altman D , Yom-Tov GB , Olivares M , Ashtar S , Rafaeli A (2021) Do customer emotions affect agent speed? An empirical study of emotional load in online customer contact centers. Manufacturing Service Oper. Management 23(4):854–875.Link, Google Scholar
• Ascarza E , Netzer O , Hardie BG (2018) Some customers would rather leave without saying goodbye. Marketing Sci. 37(1):54–77.Link, Google Scholar
• Ashtar S , Rafaeli A , Yom-Tov GB , Akiva N (2021) When do service employees smile? Response-dependent emotion regulation in emotional labor. J. Organ. Behav. 42:1202–1227.Crossref, Google Scholar
• Batt RJ , Terwiesch C (2015) Waiting patiently: An empirical study of queue abandonment in an emergency department. Management Sci. 61(1):39–59.Link, Google Scholar
• Bellos I , Kavadias S (2019) When should customers control service delivery? Implications for service design. Production Oper. Management 28(4):890–907.Crossref, Google Scholar
• Bellos I , Kavadias S (2021) Service design for a holistic customer experience: A process framework. Management Sci. 67(3):1718–1736.Link, Google Scholar
• Borle S , Singh SS , Jain DC (2008) Customer lifetime value measurement. Management Sci. 54(1):100–112.Link, Google Scholar
• Borst S , Boxma O , Hegde N (2005) Sojourn times in finite-capacity Processor-Sharing queues. Next Generation Internet Networks Traffic Engrg. 2005:53–60.Google Scholar
• Bray RL , Coviello D , Ichino A , Persico N (2016) Multitasking, multiarmed bandits, and the Italian judiciary. Manufacturing Service Oper. Management 18(4):545–558.Link, Google Scholar
• Brown L , Gans N , Mandelbaum A , Sakov A , Shen H , Zeltyn S , Zhao L (2005) Statistical analysis of a telephone call center: A queueing-science perspective. J. Amer. Statist. Assoc. 100(469):36–50.Crossref, Google Scholar
• Byrd J Jr (1978) The value of queueing theory. Interfaces 8(3):22–26.Link, Google Scholar
• Campello F , Ingolfsson A , Shumsky RA (2017) Queueing models of case managers. Management Sci. 63(3):882–900.Link, Google Scholar
• Castellanos A , Yom-Tov GB , Goldberg Y (2022) Silent abandonment in contact centers: Estimating customer patience with uncertain data. Working paper, Technion - Israel Institute of Technology, Haifa, Israel.Google Scholar
• Chase R (1978) Where does the customer fit in a service operation? Harvard Bus. Rev. 56:137–142.Google Scholar
• Chen X (2021) Perfect sampling of Hawkes processes and queues with Hawkes arrivals. Stochastic Systems 11(13):264–283.Link, Google Scholar
• Daw A (2024) Conditional uniformity and Hawkes processes. Math. Oper. Res. 49(1):40–57.Link, Google Scholar
• Daw A , Pender J (2018) Queues driven by Hawkes processes. Stochastic Systems 8(3):192–229.Link, Google Scholar
• Delasay M , Ingolfsson A , Kolfal B , Schultz K (2019) Load effect on service times. Eur. J. Oper. Res. 279(3):673–686.Crossref, Google Scholar
• Dong J , Feldman P , Yom-Tov GB (2015) Service system with slowdowns: Potential failures and proposed solutions. Oper. Res. 63(2):305–324.Link, Google Scholar
• Embrechts P , Liniger T , Lin L (2011) Multivariate Hawkes processes: An application to financial data. J. Appl. Probability 48(A):367–368.Crossref, Google Scholar
• Fox EW , Short MB , Schoenberg FP , Coronges KD , Bertozzi AL (2016) Modeling email networks and inferring leadership using self-exciting point processes. J. Amer. Statist. Assoc. 111(514):564–584.Crossref, Google Scholar
• Freedman JL , Fraser SC (1966) Compliance without pressure: The foot-in-the-door technique. J. Personality Soc. Psych. 4(2):195–202.Crossref, Google Scholar
• Fuchs VR (1968) The Service Economy (National Bureau of Economic Research, Cambridge, MA).Google Scholar
• Gans N , Liu N , Mandelbaum A , Shen H , Ye H (2010) Service times in call centers: Agent heterogeneity and learning with some operational consequences. IMS Collections. Borrowing Strength: Theory Powering Applications: A Festschrift for Lawrence D. Brown , vol. 6 (Institute of Mathematical Statistics), 99–123.Crossref, Google Scholar
• Gao X , Zhu L (2018) Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues. Queueing Systems 90(1–2):161–206.Crossref, Google Scholar
• Goes PB , Ilk N , Lin M , Zhao JL (2018) When more is less: Field evidence on unintended consequences of multitasking. Management Sci. 64(7):2973–3468.Google Scholar
• Halpin PF , De Boeck P (2013) Modelling dyadic interaction with Hawkes processes. Psychometrika 78(4):793–814.Crossref, Google Scholar
• Hawkes AG (1971) Spectra of some self-exciting and mutually exciting point processes. Biometrika 58(1):83–90.Crossref, Google Scholar
• Hawkes AG , Oakes D (1974) A cluster process representation of a self-exciting process. J. Appl. Probability 11(3):493–503.Crossref, Google Scholar
• Ibrahim R , L’ecuyer P , Shen H , Thiongane M (2016) Inter-dependent, heterogeneous, and time-varying service-time distributions in call centers. Eur. J. Oper. Res. 250(2):480–492.Crossref, Google Scholar
• Jennings OB , Pender J (2016) Comparisons of ticket and standard queues. Queueing Systems 84(1–2):145–202.Crossref, Google Scholar
• Kc DS (2013) Does multitasking improve performance? Evidence from the emergency department. Manufacturing Service Oper. Management 16(2):168–183.Link, Google Scholar
• Kc DS , Terwiesch C (2009) Impact of workload on service time and patient safety: An econometric analysis of hospital operations. Management Sci. 55(9):1486–1498.Link, Google Scholar
• Kim SH , Whitt W (2014) Are call center and hospital arrivals well modeled by nonhomogeneous poisson processes? Manufacturing Service Oper. Management 16(3):464–480.Link, Google Scholar
• Kingman J (2009) The first erlang century-and the next. Queueing Systems 63(1):3–12.Crossref, Google Scholar
• Koops D , Saxena M , Boxma O , Mandjes M (2018) Infinite-server queues with Hawkes input. J. Appl. Probability 55(3):920–943.Crossref, Google Scholar
• Laub PJ , Lee Y , Taimre T (2021) The Elements of Hawkes Processes (Springer, Berlin).Crossref, Google Scholar
• Long Z , Tezcan T , Zhang J (2018) Customer service chat systems with general service and patience times. Preprint, submitted July 2, https://dx.doi.org/10.2139/ssrn.3201743.Google Scholar
• Luo J , Zhang J (2013) Staffing and control of instant messaging contact centers. Oper. Res. 61(2):328–343.Link, Google Scholar
• Malmgren RD , Stouffer DB , Motter AE , Amaral LA (2008) A Poissonian explanation for heavy tails in email communication. Proc. Natl. Acad. Sci. USA 105(47):18153–18158.Crossref, Google Scholar
• Mandelbaum A , Reiman MI (1998) On pooling in queueing networks. Management Sci. 44(7):971–981.Link, Google Scholar
• Massoulié L (1998) Stability results for a general class of interacting point processes dynamics, and applications. Stochastic Processing Appl. 75(1):1–30.Google Scholar
• Masuda N , Takaguchi T , Sato N , Yano K (2013) Self-exciting point process modeling of conversation event sequences. Temporal Networks (Springer, Berlin), 245–264.Crossref, Google Scholar
• Momčilović P , Mandelbaum A , Carmeli N , Armony M , Yom-Tov G (2022) Resource-driven activity-networks (RANs): A modelling framework for complex operations. Working paper, Technion—Israel Institute of Technology, Haifa, Israel.Google Scholar
• Ogata Y (1988) Statistical models for earthquake occurrences and residual analysis for point processes. J. Amer. Statist. Assoc. 83(401):9–27.Crossref, Google Scholar
• Rafaeli A , Yom-Tov G , Ashtar S , Altman D (2020) Opportunities, tools and new insights: Evidence on emotions in service from analyses of digital traces data. Härtel CEJ , Zerbe WJ , Ashkanasy NM , eds. Emotions and Service in the Digital Age (Research on Emotions in Organizations, Vol. 16) (Emerald Publishing Limited, Bingley, UK), 105–136.Crossref, Google Scholar
• RingCentral (2012) Texting for work on the rise per RingCentral survey. Accessed May 29, 2024, https://web.archive.org/web/20150919105852/https://www.ringcentral.com/whyringcentral/company/pressreleases/pressreleases-2012/131212.html.Google Scholar
• Rizoiu MA , Lee Y , Mishra S , Xie L (2017) Hawkes processes for events in social media. Frontiers of Multimedia Research (Association for Computing Machinery, New York), 191–218.Crossref, Google Scholar
• Rizoiu MA , Mishra S , Kong Q , Carman M , Xie L (2018) SIR-Hawkes: Linking epidemic models and Hawkes processes to model diffusions in finite populations. Proc. Conf. World Wide Web (International World Wide Web Conference Committee, Geneva, Switzerland), 419–428.Google Scholar
• Roels G (2014) Optimal design of coproductive services: Interaction and work allocation. Manufacturing Service Oper. Management 16(4):578–594.Link, Google Scholar
• Tan XJ , Wang Y , Tan Y (2019) Impact of live chat on purchase in electronic markets: The moderating role of information cues. Inform. Systems Res. 30(4):1248–1271.Link, Google Scholar
• Tezcan T , Zhang J (2014) Routing and staffing in customer service chat systems with impatient customers. Oper. Res. 62(4):943–956.Link, Google Scholar
• van Leeuwaarden JS , Mathijsen BW , Sloothaak F , Yom-Tov GB (2017) The restricted Erlang-R queue: Finite-size effects in service systems with returning customers. Working paper, Eindhoven University of Technology, Eindhoven, Netherlands.Google Scholar
• Wu A , Bassamboo A , Perry O (2019) Service systems with dependent service and patience times. Management Sci. 65(3):1151–1172.Link, Google Scholar
• Xu K , Chan CW (2016) Using future information to reduce waiting times in the emergency department via diversion. Manufacturing Service Oper. Management 18(3):314–331.Link, Google Scholar
• Xu SH , Gao L , Ou J (2007) Service performance analysis and improvement for a ticket queue with balking customers. Management Sci. 53(6):971–990.Link, Google Scholar
• Yom-Tov GB , Yedidsion L , Xie Y (2020) An invitation control policy for proactive service systems: Balancing efficiency, value and service level. Manufacturing Service Oper. Management 23(5):1077–1095.Link, Google Scholar
• Yom-Tov GB , Ashtar S , Altman D , Natapov M , Barkay N , Westphal M , Rafaeli A (2018) Customer sentiment in web-based service interactions: Automated analyses and new insights. Proc. Web Conf. Companion (ACM, New York).Crossref, Google Scholar