A study on the arrival process of lift passengers in a multi-storey office building

Abstract

This article presents a study on the process of how passengers arrive at lift lobbies to travel to their destinations. Earlier studies suggest that passengers arrive at the lift lobbies individually with exponentially distributed inter-arrival times, that is, according to a Poisson process. This study was carried out in a multi-storey office building. The data was collected using a questionnaire, digital video recordings and the lift monitoring system. The results show that, in the studied building, passengers arrive in batches whose size varies with the time of day and the floor utilization. In addition, the batch arrivals follow a time-inhomogeneous Poisson process with piecewise constant arrival rates.

Practical applications : This article contributes to the basic understanding of passenger behaviour, and how people move around in buildings and arrive at the lift lobbies. It is proposed that the model for the passenger arrival process should take into account that passengers do not always arrive individually but also in batches. The passenger arrival process affects the design of elevators. It will also affect the passenger generation in building traffic simulations.

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References

Alexandris NA. Statistical models in lift systems. PhD thesis. Manchester: Victoria University of Manchester, 1977.

Carter

Whitehead

. A study of pedestrian movement in a multi-storey office building. Building and Environment 1976; 11: 239–47.

Green

Smith

. A survey and analysis of lift performance in an office building. Building and Environment 1977; 12: 65–72.

Peters RD, Mehta P, Haddon H. Lift passenger traffic patterns: applications, current knowledge and measurement. In: Barney GC ed. Elevator technology 7, Proceedings of Elevcon. Barcelona: International Association of Elevator Engineers, 1996: 174–83.

Robertson

Smith

Rae

. Lift Traffic patterns in a multi-storey residential block. Applied Ergonomics 1976; 7(2): 85–8.

Yu L, Zhou J, Mabu S, Hirasawa K, Hu J, Markon S. Effects of passenger’s arrival distribution to double-deck elevator group supervisory control systems using genetic network programming: Proceedings of the Genetic and Evolutionary Computation Conference, University College London. London: ACM, 2007; pp. 1476–1483.

Bailey

. On queueing processes with bulk service. Journal of the Royal Statistical Society 1954; 16(1): 80–7.

Miller

. A contribution to the theory of bulk queues. Journal of the Royal Statistical Society 1959; 21(2): 320–37.

Peters Research Ltd. ELEVATE: elevator traffic analysis & simulation software. Available at: http://www.elevate.peters-research.com/. Accessed on 7 June 2011.

10.

Siikonen

M-L

Susi

Hakonen

. Passenger traffic flow simulation in tall buildings. Elevator World 2001; 49(8): 117–23.

11.

Siikonen M-L, Roschier N-R. Determination of the number of persons entering and leaving and elevator car. US Patent No. 5 435 416, 1995.

12.

Barney GC ed. Elevator traffic hand book: theory and practice. London and New York: Spon Press, 2003.

13.

Ross SM ed. Applied probability models with optimization applications. New York: Dover Publications, 1992.

14.

Brown

Gans

Mandelbaum

Sakov

Shen

Zeltyn

Zhao

. Statistical analysis of a telephone call center: a queueing-science perspective. Journal of the American Statistical Association 2005; 100(469): 36–50.

15.

Strakosch GR ed. Vertical transportation: elevators and escalators. New York: John Wiley & Sons, 1983.

16.

Massey

. The Kolmogorov-Smirnov test for goodness of fit. Journal of the American Statistical Association 1951; 46(253): 68–78.

17.

Lewis

PAW

. Some results on tests for Poisson processes. Biometrika 1965; 52(1, 2): 67–77.

18.

Miller

. Table of percentage points of Kolmogorov statistics. Journal of the American Statistical Association 1956; 51(273): 111–21.

19.

Milton JS, Arnold JC ed. Introduction to probability and statistics. New York: McGraw-Hill, 1990.