Externalities in Queues as Stochastic Processes: The Case of FCFS M/G/1

References

• Chan CW, Huang M, Sarhangian V (2021) Dynamic server assignment in multiclass queues with shifts, with applications to nurse staffing in emergency departments. Oper. Res. 69(6):1936–1959.Google Scholar
• Cohen JW (1969) The Single Server Queue (North-Holland Publishing Company, Amsterdam).Google Scholar
• Dȩbicki K, Mandjes M (2015) Queues and Lévy Fluctuation Theory (Springer, Berlin).Google Scholar
• Feldman P, Segev E (2022) The important role of time limits when consumers choose their time in service. Management Sci. 68(9):6666–6686.Google Scholar
• Ha AY (2001) Optimal pricing that coordinates queues with customer-chosen service requirements. Management Sci. 47(7):915–930.Google Scholar
• Hassin R, Haviv M (2003) To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (Springer, Berlin).Google Scholar
• Haviv M (2014) Regulating an M/G/1 queue when customers know their demand. Performance Evaluation 77:57–71.Google Scholar
• Haviv M, Oz B (2018a) Self-regulation of an unobservable queue. Management Sci. 64(5):2380–2389.Google Scholar
• Haviv M, Oz B (2018b) Social cost of deviation: New and old results on optimal customer behavior in queues. Queueing Models Service Management 1(2):31–58.Google Scholar
• Haviv M, Ritov YA (1998) Externalities, tangible externalities, and queue disciplines. Management Sci. 44(6):850–858.Google Scholar
• Hu Y, Chan CW, Dong J (2022) Optimal scheduling of proactive service with customer deterioration and improvement. Management Sci. 68(4):2533–2578.Google Scholar
• Huang J, Carmeli B, Mandelbaum A (2015) Control of patient flow in emergency departments, or multiclass queues with deadlines and feedback. Oper. Res. 63(4):892–908.Google Scholar
• Jacobovic R (2022a) Internalization of externalities in queues with discretionary services. Queueing Systems 100(3–4):453–455.Google Scholar
• Jacobovic R (2022b) Regulation of a single-server queue with customers who dynamically choose their service durations. Queueing Systems 101(3–4):245–290.Google Scholar
• Jacobovic R, Kella O (2020) Minimizing a stochastic convex function subject to stochastic constraints and some applications. Stochastic Processing Appl. 130(11):7004–7018.Google Scholar
• Khoshnevisan D (1993) An embedding of compensated compound Poisson processes with applications to local times. Ann. Probability 3:340–361.Google Scholar
• Lambert A, Simatos F (2015) Asymptotic behavior of local times of compound Poisson processes with drift in the infinite variance case. J. Theoretical Probability 28(1):41–91.Google Scholar
• Lambert A, Simatos F, Zwart B (2013) Scaling limits via excursion theory: Interplay between Crump–Mode–Jagers branching processes and processor-sharing queues. Ann. Appl. Probability 23:2357–2381.Google Scholar
• Liu Y, Sun X, Hovey K (2022) Scheduling to differentiate service in a multiclass service system. Oper. Res. 70(1):527–544.Link, Google Scholar
• Novak A, Taylor P, Veitch D (2006) The distribution of the number of arrivals in a subinterval of a busy period of a single server queue. Queueing Systems 53:105–114.Google Scholar
• Pang G, Zheng Y (2017) On the functional and local limit theorems for Markov modulated compound Poisson processes. Statist. Probability Lett. 129:131–140.Google Scholar
• Pollard D (2012) Convergence of Stochastic Processes (Springer, Berlin).Google Scholar
• Sarkar J, Sen A (2005) Weak convergence approach to compound Poisson risk processes perturbed by diffusion. Insurance Math. Econom. 36(3):421–432.Google Scholar
• Whitt W (2002) Stochastic-Process Limits (Springer, Berlin).Google Scholar
• Yaglom AM (2004) An Introduction to the Theory of Stationary Random Functions (Courier Corporation, Chelmsford, MA).Google Scholar