# American Institute of Mathematical Sciences

October  2015, 11(4): 1423-1434. doi: 10.3934/jimo.2015.11.1423

## A trade-off between time and cost in scheduling repetitive construction projects

 1 School of Economics and Management, North China Electric Power University, Beijing, 102206, China, China, China

Received  February 2014 Revised  October 2014 Published  March 2015

The discrete time/cost trade-off problem (DTCTP) is commonly encountered in repetitive project scheduling. The current models for this problem assume that logical sequences of activities cannot be changed in different units. However, logical sequences are often changed to shorten the project time and minimize project total cost in many practical situations. This characteristic of repetitive activities is referred to as the soft logic. This paper presents a mixed integer nonlinear programming model that combines the general DTCTP and the concept of soft logic. The execution modes of an activity in different units are also considered. The DTCTP is known to be strongly NP-hard, and the introduction of soft logic makes it even more complex. A genetic algorithm (GA) is proposed to resolve the problem. The effectiveness of the proposed GA is verified using the example of a bridge construction project presented in the previous literature. The model proposed in this paper provides more flexibility to reduce the total cost and time of a repetitive project for the planners.
Citation: Lihui Zhang, Xin Zou, Jianxun Qi. A trade-off between time and cost in scheduling repetitive construction projects. Journal of Industrial and Management Optimization, 2015, 11 (4) : 1423-1434. doi: 10.3934/jimo.2015.11.1423
##### References:
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##### References:
 [1] D. Arditi and M. Z. Albulak, Line-of-balance scheduling in pavement construction, Journal of Construction Engineering and Management, 112 (1986), 411-424. doi: 10.1061/(ASCE)0733-9364(1986)112:3(411). [2] I. Bakry, O. Moselhi and T. Zayed, Optimized acceleration of repetitive construction projects, Automation in Construction, 39 (2014), 145-151. [3] L. Davis, Handbook of Genetic Algorithm, Van Nostrand Reinhold, New York, 1991. [4] P. De, E. J. Dunne, J. B. Gosh and C. E. Wells, Complexity of the discrete time-cost tradeoff problem for project networks, Operations Research, 45 (1997), 302-306. doi: 10.1287/opre.45.2.302. [5] K. El-Rayes and O. Moselhi, Resource-driven scheduling of repetitive activities, Construction Management and Economics, 16 (1998), 433-446. [6] A. S. Ezeldin and A. Soliman, Hybrid time-cost optimization of non-serial repetitive construction projects, Journal of Construction Engineering and Management, 135 (2009), 42-55. [7] S. L. Fan, K. S. Sun and Y. R. Wang, GA optimization model for repetitive projects with soft logic, Automation in Construction, 21 (2012), 253-261. doi: 10.1016/j.autcon.2011.06.009. [8] S. L. Fan and H. P. Tserng, Object-oriented scheduling for repetitive projects with soft logics, Journal of Construction Engineering and Management, 132 (2006), 35-48. doi: 10.1061/(ASCE)0733-9364(2006)132:1(35). [9] S. L. Fan, H. P. Tserng and M. T. Wang, Development of an object-oriented scheduling model for construction projects, Automation in Construction, 12 (2003), 283-302. doi: 10.1016/S0926-5805(02)00092-4. [10] D. J. Harmelink and J. E. Rowings, Linear scheduling model: development of controlling activity path, Journal of Construction Engineering and Management, 124 (1998), 263-268. doi: 10.1061/(ASCE)0733-9364(1998)124:4(263). [11] K. H. Hyari, K. El-Rayes and M. El-Mashaleh, Automated trade-off between time and cost in planning repetitive construction projects, Construction Management and Economics, 27 (2009), 749-761. doi: 10.1080/01446190903117793. [12] P. Jaskowski and A. Sobotka, Using soft precedence relations for reduction of the construction project duration, Technological and Economic Development of Economy, 18 (2012), 262-279. doi: 10.3846/20294913.2012.666217. [13] D. W. Johnston, Linear scheduling method for highway construction, Journal of Construction Engineering and Management, 107 (1981), 247-260. [14] L. D. Long and A. Ohsato, A genetic algorithm-based method for scheduling repetitive construction projects, Automation in Construction, 18 (2009), 499-511. doi: 10.1016/j.autcon.2008.11.005. [15] K. G. Mattila and D. M. Abraham, Linear scheduling: past research efforts and future directions, Engineering, Construction and Architectural Management, 5 (1998), 294-303. doi: 10.1046/j.1365-232X.1998.00068.x. [16] W. L. Peng and C. G. Wang, A multi-mode resource-constrained discrete time-cost trade/off problem and its genetic algorithm based solution, International Journal of Project Management, 27 (2009), 600-609. [17] R. M. Reda, PRM: repetitive project modeling, Journal of Construction Engineering and Management, 116 (1990), 316-330. [18] S. Selinger, Construction planning for linear projects, Journal of the Construction Division, 106 (1980), 195-205. [19] A. B. Senouci and N. N. Eldin, A time-cost trade-off algorithm for non-serial linear project, Canadian Journal of Civil Engineering, 23 (1996), 134-149. [20] S. Tamimi and J. Diekmann, Soft logic in network analysis, Journal of Computing in Civil Engineering, 2 (1988), 289-300. doi: 10.1061/(ASCE)0887-3801(1988)2:3(289). [21] S. B. Terry and G. Lucko, Algorithm for time-cost tradeoff analysis in construction projects by aggregating activity-level singularity functions, Proceedings of the 2012 Construction Research Congress, (2012), 226-235. doi: 10.1061/9780784412329.024. [22] L. H. Zhang and J. X. Qi, Controlling path and controlling segment analysis in repetitive scheduling method, Journal of Construction Engineering and Management, 138 (2012), 1341-1345. doi: 10.1061/(ASCE)CO.1943-7862.0000535.
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