Performance Approximation of Emergency Service Systems with Priorities and Partial Backups

References

• Adan I, Weiss G (2014) A skill based parallel service system under FCFS-ALIS—Steady state, overloads, and abandonments. Stochastic Systems 4(1):250–299.Link, Google Scholar
• Adan I, Hurkens C, Weiss G (2010) A reversible Erlang loss system with multitype customers and multitype servers. Probab. Engrg. Inform. Sci. 24(4):535–548.Crossref, Google Scholar
• Atkinson JB, Kovalenko IN, Kuznetsov NY, Mikhalevich KV (2006) Heuristic methods for the analysis of a queuing system describing emergency medical service deployed along a highway. Cybernetics Systems Anal. 42(3):379–391.Crossref, Google Scholar
• Atkinson JB, Kovalenko IN, Kuznetsov N, Mykhalevych KV (2008) A hypercube queueing loss model with customer-dependent service rates. Eur. J. Oper. Res. 191(1):223–239.Crossref, Google Scholar
• Birge JR, Pollock SM (1989) Using parallel iteration for approximate analysis of a multiple server queueing system. Oper. Res. 37(5):769–779.Link, Google Scholar
• Budge S, Ingolfsson A, Erkut E (2009) Approximating vehicle dispatch probabilities for emergency service systems with location-specific service times and multiple units per location. Oper. Res. 57(1):251–255.Link, Google Scholar
• Budge S, Ingolfsson A, Zerom D (2010) Empirical analysis of ambulance travel times: The case of Calgary emergency medical services. Management Sci. 56(4):716–723.Link, Google Scholar
• Burwell TH, Jarvis JP, McKnew MA (1993) Modeling co-located servers and dispatch ties in the hypercube model. Comput. Oper. Res. 20(2):113–119.Crossref, Google Scholar
• de Souza RM, Morabito R, Chiyoshi FY, Iannoni AP (2015) Incorporating priorities for waiting customers in the hypercube queuing model with application to an emergency medical service system in Brazil. Eur. J. Oper. Res. 242(1):274–285.Crossref, Google Scholar
• Galvao RD, Morabito R (2008) Emergency service systems: The use of the hypercube queueing model in the solution of probabilistic location problems. Internat. Trans. Oper. Res. 15(5):525–549.Crossref, Google Scholar
• Goldberg J, Szidarovszky F (1991) Methods for solving nonlinear equations used in evaluating emergency vehicle busy probabilities. Oper. Res. 39(6):903–916.Link, Google Scholar
• Iannoni AP, Morabito R (2007) A multiple dispatch and partial backup hypercube queuing model to analyze emergency medical systems on highways. Transportation Res. Part E: Logist. Transportation Rev. 43(6):755–771.Crossref, Google Scholar
• Iannoni AP, Chiyoshi F, Morabito R (2015) A spatially distributed queuing model considering dispatching policies with server reservation. Transportation Res. Part E: Logist. Transportation Rev. 75:49–66.Crossref, Google Scholar
• Jarvis JP (1985) Approximating the equilibrium behavior of multi-server loss systems. Management Sci. 31(2):235–239.Link, Google Scholar
• Larson RC (1974) A hypercube queuing model for facility location and redistricting in urban emergency services. Comput. Oper. Res. 1(1):67–95.Crossref, Google Scholar
• Larson RC (1975) Approximating the performance of urban emergency service systems. Oper. Res. 23(5):845–868.Link, Google Scholar
• Larson RC (2013) Hypercube queueing model. Gass SI, Fu MC, eds. Encyclopedia of Operations Research and Management Science (Springer, Boston), 733–739.Crossref, Google Scholar
• Larson RC, McKnew MA (1982) Police patrol-initiated activities within a systems queueing model. Management Sci. 28(7):759–774.Link, Google Scholar
• Rodrigues LF, Morabito R, Chiyoshi FY, Iannoni AP, Saydam C (2017) Towards hypercube queuing models for dispatch policies with priority in queue and partial backup. Comput. Oper. Res. 84:92–105.Crossref, Google Scholar
• Statistics Canada (2016a) Census profile of dissemination areas for the 2011 census. Accessed June 16, 2018, http://www12.statcan.gc.ca/census-recensement/2011/dp-pd/prof/index.cfm?Lang=E.Google Scholar
• Statistics Canada (2016b) Dissemination areas cartographic boundary file for the 2011 census. Accessed June 16, 2018, http://www12.statcan.gc.ca/census-recensement/2011/geo/bound-limit/bound-limit-2011-eng.cfm.Google Scholar
• Visschers J, Adan I, Weiss G (2012) A product form solution to a system with multi-type jobs and multi-type servers. Queueing Systems 70(3):269–298.Crossref, Google Scholar