Modeling circulation systems in buildings using state dependent queueing models. (English) Zbl 0669.90050

Circulation systems within buildings are analyzed using M/G/C/C queueing models. Congestion aspects of the traffic flow are represented by introducing state dependent service rates as a function of the number of occupants in each region of the circulation system. Analytical models for unidirectional and multi-source/single sink flows are presented. Finally, use of the queueing models to analytically determine the optimal size and capacity of the links of the circulation systems is incorporated into a series of software programs available from the authors.


90B22 Queues and service in operations research
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[1] A.O. Allen,Probability, Statistics, and Queueing Theory with Computer Applications (Academic Press, New York, 1978). · Zbl 0455.60077
[2] R.W. Conway and W.L. Maxwell, A queueing model with state dependent service rates, Journal of Industrial Engineering 12 (1962) 132-136.
[3] N.I.S. Foot, Pedestrian traffic flows, DMG, DRS Journal: Design Research and Methods 7, part 2 (1973) 162-167.
[4] J.J. Fruin,Pedestrian Planning and Design (Metropolitan Association of Urban Designers and Environmental Planners, Inc. New York, N.Y., 1971).
[5] D. Gross and C.M. Harris,Fundamentals of Queueing Theory (John Wiley and Sons, New York, 1985). · Zbl 0658.60122
[6] J.D. Hankin and R.A. Wright, Passenger flow in subways, Operational Research Quarterly 9, part 2 (1958) 81-88.
[7] F.S. Hillier, R.W. Conway and W.L. Maxwell, A multiple server queueing model with state dependent service rates, Journal of Industrial Engineering 15 (1964) 153-157.
[8] L. Kleinrock,Queueing Systems, Vol. I: Theory (John Wiley and Sons, New York, 1975). · Zbl 0334.60045
[9] Alec Lee,Applied Queueing Theory (St. Marin’s Press, New York, 1966).
[10] C.A. O’Flaherty and M.H. Parkinson, Movement on a city centre footway, Traffic Engineering and Control 13 (1972) 434-438.
[11] S.J. Older, Movement of pedestrains on footways in shopping streets, Traffic Engineering and Control 10 (1968) 160-163.
[12] C.H. Sauer and K.M. Chandy,Computer Systems and Performance Modeling (Prentice-Hall, Englewood Cliffs, N.J., 1981).
[13] J. MacGregor Smith and W.B. Rouse, Application of queueing network models to optimization of resource allocation within libraries, JASIS 30 (5) (1979) 250-263.
[14] J. MacGregor Smith, Queueing networks and facility planning, Building and Environment 17 (1) (1982) 33-45.
[15] J.M. Smith and B. Bouanaka, Queueing network decomposition in facilities planning, Computers and Operations Research 12 (1) (1985) 1-16.
[16] J. MacGregor Smith, R.J. Graves and L. Kerbache, QNET: an open queueing network model for material handling system analysis, Material Flow 3 (1986) 225-242.
[17] K. Togawa, Study on fire escapes based on the observation of multitude currents, Report #14, Building Research Institute, Japan, 1955.
[18] P. Tregenza,The Design of Interior Circulation (Van Norstand Reinhold Company, New York, N.Y., 1976).
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