Queuing Rule of Thumb based on M/M/s Queuing Theory with Applications in Construction Management

Kardi Teknomo


The current trend of queuing theory development is toward more precision which requires higher mathematical manipulation. In this paper, we attempted to reverve the current trend toward simplification of queuing formulas such that it can be used in more practical purposes, especially in construction industry. Through numerical examples of two case studies on concreting and earth moving, how to model the construction activities as queuing systems is illustrated systematically. Through the numerical examples, it is shown that when the customer cost is much lower than the server cost, queuing system can be simplified only to incorporate the constraint equation. The queueing constraint equation is suggested to be used as queuing rule of thumb. The proposed rule of thumb is rather conservative in term of queuing performance compared to the standard stochastic queuing formula because it is assumed that all the customers arrive at once in the beginning of the service.


Rule of thumb, constraint equation, concreting, earth moving.


  1. Hendrickson, C. and Tung, A., Project Manage-ment for Construction - Fundamental Concepts for Owners, Engineers, Architects and Builders, Prentice Hall, 1998. http://pmbook.ce.cmu.edu/ 04_labor_material,_and_equipment_utilization.html.
  2. Oberguggenberger, M., Queueing Models with Fuzzy Data in Construction Management in: W. Fellin et al (Editors) Analyzing Uncertainty in Civil Engineering, Springer, 2004. pp. 197-208.

    http://www.globalspec.com/reference/34589/ 203279/ queueing-models-with-fuzzy-data-in-construction-management

  3. Cheng, M.Y., Tsai, H.C., and Lai, Y.Y., Construc-tion Management Process Reengineering Perfor-mance Measurements, Automation in Construc-tion 18, 2009, pp.183-193. http://www.ct.ntust. edu.tw/ct/filesConstruction%20management%20process%20reengineering%20performance%20measurements. pdf. See also: files/Bpr_ Evaluation.pdf.
  4. Tian, N. and Zhang, Z.G., Vacation Queueing Theory Model – Theory and Application, Springer, 2006.
  5. Yue, W. et al., Advances in Queueing Theory and Network Applications, Springer, 2009. [CrossRef]
  6. Hall, R.W., Queueing Methods for Services and Manufacturing, Prentice Hall, 1991.
  7. Carmichaela, D.G., Shovel–truck Queues: a Reconciliation of Theory and Practice, Construction Management and Economics, 4(2), 1986, pp.161-177. http://www.tandfonline.com/doi/abs/10.1080/01446 198600000013.

Full Text: PDF

The Journal is published by The Institute of Research & Community Outreach - Petra Christian University.

©All right reserved 2016.Civil Engineering Dimension, ISSN: 1410-9530, e-ISSN: 1979-570X


View My Stats

Copyright © Research Center Web-Dev Team