A Probabilistic-Based Method to Determine Optimum Size of Project Buffer in Construction Schedules
Publication: Journal of Construction Engineering and Management
Volume 142, Issue 10
Abstract
Buffers are used to deal with the detrimental impacts of uncertainty on projects. However, methods for the allocation of buffers often provide single unique solutions, which are inefficient in the multiobjective decision-making environment of construction. This paper discusses a probabilistic-based buffer allocation method (PBAL), which enables the final decision on buffer size to be made by the project planners based on their preferences about project completion time. It investigates the construction projects where each activity starts as early as possible. Accordingly, the decision involves determining the size of time buffer at the end of the project network. The accuracy of the results is subjected to approximation and numerical errors in the mathematical models among others. Most buffer allocation heuristics for projects have approximation errors and simulation-based techniques introduce numerical errors by their iterative sampling calculation approach. PBAL can minimize these errors by supporting important details of modeling the production in activities, and preserving these details when modeling at the project level. The PBAL capability to minimize mathematical modeling errors and its accuracy has been successfully tested using the records from ten construction projects.
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References
Agrawal, M. K., and Elmaghraby, S. E. (2001). “On computing the distribution function of the sum of independent random variables.” Comput. Oper. Res., 28(5), 473–483.
Alarcón, L. F., Diethelm, S., Rojo, O., and Calderon, R. (2005). “Assessing the impacts of implementing lean construction.” Proc., 13th Annual Conf. of the Int. Group for Lean Construction, IGLC-13, Sydney, Australia, 387–393.
Ang, A. H. S., Chaker, A. A., and Abdelnour, J. (1975). “Analysis of activity networks under uncertainty.” J. Eng. Mech. Div., 101(4), 373–387.
Anklesaria, K. P., and Drezner, Z. (1986). “A multivariate approach to estimating the completion time for pert networks.” J. Oper. Res. Soc., 37(8), 811–815.
Ballard, G., and Howell, G. (1994). “Implementing lean construction: Stabilizing workflow.” Proc., 2nd Annual Conf. of Int. Group for Lean Construction, Santiago, Chile, 105–114.
Ballard, G., and Howell, G. (1995). “Toward construction JIT.” Lean construction, L. Alarcón, ed., Taylor & Francis, New York, 291–300.
Ballard, H. G. (2000). “The last planner system of production control.” Ph.D. thesis, Univ. of Birmingham, Birmingham, U.K.
Barraza, G. A. (2011). “Probabilistic estimation and allocation of project time contingency.” J. Constr. Eng. Manage., 259–265.
Battini, D., Persona, A., and Regattieri, A. (2009). “Buffer size design linked to reliability performance: A simulative study.” Comput. Ind. Eng., 56(4), 1633–1641.
Ben-Haim, Y., and Laufer, A. (1998). “Robust reliability of projects with activity-duration uncertainty.” J. Constr. Eng. Manage., 125–132.
Biafore, B. (2013). “Microsoft project 2013: The missing manual.” O’Reilly Media, Sebastopol, CA.
Carmichael, D. G. (2006). Project planning, and control, Routledge, Abingdon, Oxon, U.K.
Construction Industry Institute. (1986). Constructability: A primer, Austin, TX.
Demeulemeester, E. L., and Herroelen, W. (2002). Project scheduling: A research handbook, Kluwer Academic, Boston.
Dodin, B. (1985). “Approximating the distribution functions in stochastic networks.” Comput. Oper. Res., 12(3), 251–264.
Erdmann, T. P., Boessenkool, H., Hogewoning, L., and Does, R. J. M. M. (2012). “Quality quandaries: Reducing work in process at an emergency assistance center.” Qual. Eng., 25(1), 78–84.
Feller, W. (2008). An introduction to probability theory and its applications, Wiley, New York.
Garthwaite, P. H., Kadane, J. B., and O’Hagan, A. (2005). “Statistical methods for eliciting probability distributions.” J. Am. Stat. Assoc., 100(470), 680–701.
Gentry, B., Blankinship, D., and Wainwright, E. (2008). Oracle Crystal Ball user manual. 11.1, Oracle, Denver.
Goldratt, E. M. (1997). Critical chain, North River Press, Great Barrington, MA.
González, V., and Alarcón, L. F. (2010). Uncertainty management in repetitive projects using WIP buffers, Lambert Academic Publishing, Saarbrücken, Germany.
González, V., Alarcón, L. F., Maturana, S., and Bustamante, J. A. (2011). “Site management of work-in-process buffers to enhance project performance using the reliable commitment model: Case study.” J. Constr. Eng. Manage., 707–715.
González, V., Alarcón, L. F., Maturana, S., Mundaca, F., and Bustamante, J. (2010a). “Improving planning reliability and project performance using the reliable commitment model.” J. Constr. Eng. Manage., 1129–1139.
González, V., Alarcón, L. F., and Ulloa, H. (2010b). “RCM-Plan: A computer prototype for improving planning reliability from a lean production viewpoint.” Proc., 18th CIB World Building Congress, CIB, Rotterdam, Netherlands, 14.
González, V., Alarcón, L. F., and Yiu, T. W. (2013). “Integrated methodology to design and manage work-in-process buffers in repetitive building projects.” J. Oper. Res. Soc., 64(8), 1182–1193.
Hopp, W. J., and Spearman, M. L. (2008). Factory physics, McGraw-Hill, New York, 720.
Howell, G. A. (1999). “What is lean construction.” Proc., 7th Annual Conf. of the Int. Group for Lean Construction (IGLC-7), Berkeley, CA.
Jelen, B. (2013). Excel 2013 charts and graphs, Que, Indianapolis.
Kasanen, E. (1986). Capital budgeting and the control of business unit growth, Turun kauppakorkeakoulu, Åbo, Finland.
Kasanen, E., Lukha, K., and Siitonen, A. (1993). “The constructive approach in management accounting research.” J. Manage. Acc. Res., 5, 243–245.
Koh, C. H. (2006). “Buffer evaluation for demand variability using fuzzy logic.” Proc., 14th Annual Conf. of Int. Group for Lean Construction, Santiago, Chile.
Koskela, L. (2008). “Which kind of science is construction management?” Proc., 16th Annual Conf. of the Int. Group for Lean Construction, Manchester, U.K., 51–60.
Lambrechts, O., Demeulemeester, E., and Herroelen, W. (2011). “Time slack-based techniques for robust project scheduling subject to resource uncertainty.” Ann. Oper. Res., 186(1), 443–464.
Law, A. M. (2007). Simulation modeling and analysis, McGraw-Hill, Boston, 768.
Lee, S., Peña-Mora, F., and Park, M. (2006). “Reliability and stability buffering approach: Focusing on the issues of errors and changes in concurrent design and construction projects.” J. Constr. Eng. Manage., 452–464.
Lehtiranta, L., Junnonen, J.-M., Kärnä, S., and Pekuri, L. (2015). “The constructive research approach: Problem solving for complex projects.” Designs, methods and practices for research of project management, B. Pasian, ed., Gower, Surrey, U.K., 95–106.
Ludwig, A., Möhring, R. H., and Stork, F. (2001). “A computational study on bounding the Makespan distribution in stochastic project networks.” Ann. Oper. Res., 102(1–4), 49–64.
Ma, G., Li, L., and Chen, Z. (2012). “Research on the buffer sizing approach in critical chain scheduling in perspective of flexible management.” Business, economics, financial sciences, and management, Springer, Heidelberg, Germany, 61–68.
Malcolm, D. G., Roseboom, J. H., Clark, C. E., and Fazar, W. (1959). “Application of a technique for research and development program evaluation.” Oper. Res., 7(5), 646–669.
Microsoft Corporation. (1994). “User’s guide—Microsoft Project: Business project planning system, version 4.0: Windows series or Apple Macintosh series.” Washington, DC.
Misra, K. B. (1992). Reliability analysis and prediction: A methodology oriented treatment, Elsevier Science Publishers, Amsterdam, Netherlands.
Newbold, R. C. (1998). Project management in the fast lane: Applying the theory of constraints, CRC, Boca Raton, FL.
Oberkampf, W. L., and Roy, C. J. (2010). Verification and validation in scientific computing, Cambridge University Press, Cambridge, U.K.
O’Hagan, A., et al. (2006). Uncertain judgements: Eliciting experts’ probabilities, Wiley, Chichester, U.K.
Oracle. (2014). “Oracle crystal ball.” 〈http://www.oracle.com/us/products/applications/crystalball/overview/index.html〉 (Feb. 13, 2016).
Palisade Corporation. (2015). “The future in your spreadsheet.” 〈http://www.palisade.com/risk/〉 (Feb. 13, 2016).
Panchadsaram, K. (2012). Oracle Primavera P6: Version 8. 1 professional client beginner’s guide, Kugan & Associates, San Diego.
Park, M., and Peña-Mora, F. (2004). “Reliability buffering for construction projects.” J. Constr. Eng. Manage., 626–637.
Poshdar, M., González, V. A., Raftery, G. M., and Orozco, F. (2014). “Characterization of process variability in construction.” J. Constr. Eng. Manage., 05014009.
Primavera Systems. (2005). “Oracle Primavera P6 project management, reference manual.” Redwood City, CA.
Project Management Zone. (2015). “Project planning tools—Popularity ranking.” 〈http://project-management.zone/ranking/category/planning〉 (Dec. 1, 2015).
Risk Manual. (2002). “Risk analysis and simulation add-in for Microsoft Excel.” Palisade Corporation, New York.
Schatteman, D., Herroelen, W., Van de Vonder, S., and Boone, A. (2008). “Methodology for integrated risk management and proactive scheduling of construction projects.” J. Constr. Eng. Manage., 885–893.
Srisuwanrat, C., and Ioannou, P. G. (2007). “Optimal scheduling of probabilistic repetitive projects using completed unit and genetic algorithms.” Winter 2007 Simulation Conf., IEEE Press, Piscataway, NJ, 2151–2158.
Thunnissen, D. P. (2003). “Uncertainty classification for the design and development of complex systems.” 3rd Annual Predictive Methods Conf., Citeseer, Newport Beach, CA.
Tukel, O. I., Rom, W. O., and Eksioglu, S. D. (2006). “An investigation of buffer sizing techniques in critical chain scheduling.” Eur. J. Oper. Res., 172(2), 401–416.
Williams, T. (2008). Modelling complex projects, Wiley, Chichester, U.K.
Womack, J. P., and Jones, D. T. (2003). Lean thinking: Banish waste and create wealth in your corporation, revised and updated, Free Press, New York.
Yang, L., Fu, Y., Li, S., Huang, B., and Tao, P. (2008). “A buffer sizing approach in critical chain scheduling with attributes dependent.” Wireless Communications, Networking and Mobile Computing, IEEE, Dalian, China, 1–4.
Yao, M. J., and Chu, W. M. (2007). “A new approximation algorithm for obtaining the probability distribution function for project completion time.” Comput. Math. Appl., 54(2), 282–295.
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© 2016 American Society of Civil Engineers.
History
Received: Sep 9, 2015
Accepted: Jan 27, 2016
Published online: Mar 30, 2016
Discussion open until: Aug 30, 2016
Published in print: Oct 1, 2016
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