Constrained Load-Balancing Policies for Parallel Single-Server Queue Systems

References

• Baccelli F, Bremaud P (2002) Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences, Stochastic Modelling and Applied Probability (Springer, Berlin, Heidelberg).Google Scholar
• Deo S, Gurvich I (2011) Centralized vs. decentralized ambulance diversion: A network perspective. Management Sci. 57(7):1300–1319.Link, Google Scholar
• Do H, Iyer A (2018) Pareto improving constrained order policy using heterogeneous queue information in decentralized supply chains. Working paper, University of Vermont, Burlington.Google Scholar
• Gurvich I, Perry O (2012) Overflow networks: Approximations and implications to call center outsourcing. Oper. Res. 60(4):996–1009.Link, Google Scholar
• Guyette FX (2010) Personal communication, June 11, 2010.Google Scholar
• Johri P (1986) Stochastically minimizing the number of customers in exponential queuing systems. Eur. J. Oper. Res. 27(1):111–116.Crossref, Google Scholar
• Johri P (1989) Optimality of the shortest line discipline with state-dependent service rates. Eur. J. Oper. Res. 41(2):157–161.Crossref, Google Scholar
• Lippman SA (1975) Applying a new device in the optimization of exponential queuing systems. Oper. Res. 23(4):681–710.Link, Google Scholar
• Moskop JC, Sklar DP, Geiderman JM, Schears RM, Bookman KJ (2009) Emergency department crowding: Concept, causes, and moral consequences. Ann. Emergency Medicine 53(5):605–611.Crossref, Google Scholar
• Müller A, Stoyan D (2002) Comparison Methods for Stochastic Models and Risks, Wiley Series in Probability and Statistics (Wiley, West Sussex, UK).Google Scholar
• Murota K (2003) Discrete Convex Analysis, Monographs on Discrete Mathematics and Applications 10 (Society for Industrial and Applied Mathematics, Philadelphia).Crossref, Google Scholar
• Pflug GC (2000) Some remarks on the value-at-risk and the conditional value-at-risk. Probabilistic Constrained Optimization (Springer, Boston), 272–281.Google Scholar
• Ramirez-Nafarrate A, Hafizoglu AB, Gel ES, Fowler JW (2014) Optimal control policies for ambulance diversion. Eur. J. Oper. Res. 236(1):298–312.Crossref, Google Scholar
• Rockafellar RT, Uryasev S (2002) Conditional value-at-risk for general loss distributions. J. Banking Finance 26(7):1443–1471.Crossref, Google Scholar
• Shaked M, Shanthikumar JG (2007) Stochastic Orders, Springer Series in Statistics (Springer, New York).Crossref, Google Scholar
• Sprivulis PC, Da Silva J, Jacobs I, Jelinek G, Frazer A (2006) The association between hospital overcrowding and mortality among patients admitted via Western Australian emergency departments. Medical J. Australia 184(5):208–212.Crossref, Google Scholar
• Stidham S Jr (1985) Optimal control of admission to a queueing system. IEEE Trans. Automatic Control 30(8):705–713.Crossref, Google Scholar
• Tezcan T (2008) Optimal control of distributed parallel server systems under the Halfin and Whitt regime. Math. Oper. Res. 33(1):51–90.Link, Google Scholar
• Winston W (1977) Optimality of the shortest line discipline. J. Appl. Probab. 14(1):181–189.Crossref, Google Scholar