Yuhaski, Steven J. jun.; MacGregor Smith, J. Modeling circulation systems in buildings using state dependent queueing models. (English) Zbl 0669.90050 Queueing Syst. 4, No. 4, 319-338 (1989). 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. Cited in 18 Documents MSC: 90B22 Queues and service in operations research Keywords:facility planning; Circulation systems; M/G/C/C queueing models PDF BibTeX XML Cite \textit{S. J. Yuhaski jun.} and \textit{J. MacGregor Smith}, Queueing Syst. 4, No. 4, 319--338 (1989; Zbl 0669.90050) Full Text: DOI References: [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). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.