A time-dependent spatial queueing model for the daily deployment of airtankers for forest fire control

INFOR

Volumn 47, Issue 4, 2009, Pages 319-333

  Islam, Kazi Saif ^a   Martell, David L ^a   Posner, Morton J ^a  

^a NONE

Author keywords

differential equations; Erlang; Forest fire management; initial attack; numerical solution; Poisson; spatial point process; wildland fire

Indexed keywords

ERLANG; FOREST FIRE MANAGEMENT; INITIAL-ATTACK; NUMERICAL SOLUTION; POISSON; SPATIAL POINT PROCESS; WILDLAND FIRE;

COMPUTER SIMULATION; DEFORESTATION; DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); HEURISTIC METHODS; MANAGEMENT; MANAGERS; QUEUEING NETWORKS; QUEUEING THEORY; RESPONSE TIME (COMPUTER SYSTEMS); SERVERS;

FIRES;

DEFORESTATION; DIFFERENTIAL EQUATIONS; FOREST FIRES; HEURISTIC METHODS; MANAGEMENT; POISSON RATIO; RESPONSE TIME; SIMULATION;

EID: 77957011157     PISSN: 03155986     EISSN: None     Source Type: Journal    
DOI: 10.3138/infor.47.4.319     Document Type: Article

References (46)

1. N. Ahituv, O. Berman, 'Negotiating a coordination agreement between two adjacent service networks' TIMS Studies in the Management Sciences 22 (1986): 155-182
2. N. Ahituv, O. Berman, 'Devising a cooperation policy for emergency networks' The Journal of Operational Research Society 38 (1987): 1015-1029
3. T. Ball, Ontario Ministry of Natural Resources (2009) Personal communication
4. R. Batta, J.M. Dolan, N.N. Krishnamurthy, 'The maximal expected covering location problem - revisited' Transportation Science 23 (1989): 277-287
5. O. Berman, R.C. Larson, C. Parkan, 'The stochastic queue p-median problem' Transportation Science 21 (1987): 207-216
6. J. Berry, British Columbia Ministry of Forests and Range (2009) Personal communication
7. J.H. Bookbinder, D.L. Martell, 'Time-dependent queueing approach to helicopter allocation for forest fire initial-attack' INFOR 17 (1979): 58-70
8. M. Brahimi, D.J. Worthington, 'The finite capacity multi-server queue with inhomogeneous arrival rate and discrete service time distribution - and its application to continuous service time problems' European Journal of Operational Research 50 (1991): 310-324
9. S. Budge, A. Ingolfsson, E. Erkut, 'Approximating vehicle dispatch probabilities for emergency service systems with location-specific service times and multiple units per location' Operations Research 57 (2009): 251-255
10. J. Fortin, Daily Deployment of Air Tankers for itial Attack on Forest Fires in the Province of Quebec (1989) M.Sc.F. Thesis
11. J.S. Fried, J.K. Gilless, CFES2: The California Fire Economics Simulator Version 2 User's Guide ( University of California, Division of Agriculture and Natural Resources Publication No. 21580 1999): 92
12. J.S. Fried, J.K. Gilless, J. Spero, 'Analysing initial attack on wildland fires using stochastic simulation' International Journal of Wildland Fire 15 (2006): 137-146
13. R. Galvéo, R. Morabito, 'Emergency service systems: the use of the hypercube queueing model in the solution of probabilistic location problems' International Transactions in Operational Research 15 (2008): 525-549
14. C.F. Gerald, P.O. Wheatley, Applied Numerical Analysis (New York: Addison-Wesley Publishing Company 1989)
15. L. Green, P. Kolesar, A. Svoronos, 'Some effects of nonstationarity on multiserver Markovian queueing systems' Operations Research 39 (1991): 502-511
16. L.V. Green, P.J. Kolesar, J. Soares, 'Improving the SIPP approach for staffing service systems that have cyclic demands' Operations Research 49 (2001): 549-564
17. L.V. Green, P.J. Kolesar, W. Whitt, 'Coping with time-varying demand when setting staffing requirements for a service system' Production and Operations Management Society 16 (2007): 13-39
18. L.V. Green, J. Soares, 'Note: computing time-dependent waiting time probabilities in M(t)/M/s(t) queuing systems' Manufacturing & Service Operations Management 9 (2007): 54-61
19. F.E. Greulich, Aerial-tanker Transfer (1967) M.S. Thesis, Graduate Div
20. F.E. Greulich, A Model for the Seasonal Assignment of Air Tankers to Home Bases under Optimal Expected Daily Transfer/Use Rules (1976) PhD Dissertation
21. F.E. Greulich, 'Airtanker flight distance between fires: random fire starts on line segments' Forest Science 51 (2005): 460-471
22. F.E. Greulich, 'Modeling airtanker flight distance between concurrent fires: the development and use of statistical distribution parameters' Forest Science 54 (2008): 47-57
23. R.G. Haight, J.S. Fried, 'Deploying wildland fire suppression resources with a scenario-based standard response model' INFOR 45 (2007): 31-39
24. M.J. Hodgson, R.G. Newstead, 'Location-allocation models for one-strike initial attack of forest fires by airtankers' Canadian Journal of Forest Research 8 (1978): 145-154
25. A.P. Iannoni, R. Morabito, C. Saydam, 'A hypercube queueing model embedded into a genetic algorithm for ambulance deployment on highways' Annals of Operations Research 157 (2008): 207-224
26. A. Ingolfsson, E. Akhmetshina, S. Budge, Y. Li, X. Wu, 'A survey and experimental comparison of service-level-approximation methods for nonstationary M(t)/M/s(t) queueing systems' INFORMS Journal on Computing 19 (2007): 201-214
27. A. Ingolfsson, S. Budge, E. Erkut, 'Optimal ambulance location with random delays and travel times' Health Care Management Science 11 (2008): 262-274
28. K.M.S. Islam, Spatial Dynamic Queueg Models for the Daily Deployment of Airtankers for Forest Fire Control (1998) PhD Thesis
29. K.M.S. Islam, D.L. Martell, 'Performance of initial attack airtanker systems with interacting bases and variable initial attack ranges' Canadian Journal of Forest Research 28 (1998): 1448-1455
30. J.P. Jarvis, 'Optimization in stochastic service systems with distinguishable servers' (1975) Technical Report # 19-75
31. J.P. Jarvis, 'A location model for spatially distributed queueing systems' Proceedings: IEEE International Conference on Cybernetics and Society, Washington, November 1-3, 1976 (1976): 32-35 Institute of Electrical and Electronics Engineers. New York
32. R.C. Larson, 'A hypercube queueing model for facility location and redistricting in urban emergency services' Computers and Operations Research 1 (1974): 67-95
33. R.C. Larson, 'Approximating the performance of urban emergency service systems' Operations Research 23 (1975): 845-868
34. R.C. Larson, A.R. Odoni, Urban Operations Research (Englewood Cliffs, NJ: Prentice Hall 1981)
35. D.L. Martell, 'A review of operational research studies in forest fire management' Canadian Journal of Forest Research 12 (1982): 119-140
36. D.L. Martell, A. Weintraub Ed., C. Romero Ed., T. Bjérndal Ed., R. Epstein Ed., J. Miranda Ed., '"Forest fire management: current practices and new challenges for operational researchers"' Handbook of Operations Research in Natural Resources (New York, NY: Springer Science/Business Media 2007): 489-509 with the collaboration of
37. D.L. Martell, A. Tithecott, '"Development of daily airtanker deployment models"' (1991) Compiled by M.A. Buford
38. D.L. Martell, R.J. Drysdale, G.E. Doan, D. Boychuk, 'An evaluation of forest fire initial attack resources' Interfaces 14 (1984): 20-32
39. J.O. Mayhugh, R.E. McCormick, 'Steady state solution of the queue M/Ek/r' Management Science 14 (1968): 692-712
40. H.K. Rajagopalan, C. Saydam, J. Xiao, 'A multiperiod set covering location model for dynamic redeployment of ambulances' Computers & Operations Research 35 (2008): 814-826
41. S. Shapiro, 'The m-server queue with Poisson input and Gamma-distributed service of order two' Operations Research 14 (1966): 685-694
42. A.J. Simard, AIRPRO An Air Tanker Productivity Computer Simulation Model - Air Tanker Systems (1978) Information Report FF-X-67
43. A.J. Simard, 'A computer simulation model of forest fire suppression with air tankers' Canadian Journal of Forest Research 9 (1979): 390-398
44. M. Stade, Cost Effectiveness of Water Bombing in Forest Fire Control (1967a) Rep. OR-25
45. M. Stade, Trade-off between Forest Fire Damage, Detection Time and Waterbomber Fleet Size (1967b) Technical Paper ERR-CL-RAZ-00-241
46. D. Worthington, A. Wall, 'Using the discrete time modelling approach to evaluate the time-dependent behaviour of queueing systems' The Journal of the Operational Research Society 50 (1999): 777-788