American Institute of Mathematical Sciences

Advanced
April  2015, 11(2): 595-617. doi: 10.3934/jimo.2015.11.595

Bilevel multi-objective construction site security planning with twofold random phenomenon

Zongmin Li 1, , Jiuping Xu 2, , Wenjing Shen 3, , Benjamin Lev 3, and  Xiao Lei 4,

1. 

Business School, Sichuan University, Chengdu 610064, China
2. 

State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610064
3. 

Decision Sciences Department, LeBow College of Business, Drexel University, Philadelphia, PA 19104, United States, United States
4. 

China Three Gorges Corporation, Yichang 443001, China

Received  November 2012 Revised  May 2014 Published  September 2014

The lack of early security arrangements during the construction period can increase the vulnerability of construction project. To support current construction security standards, this paper proposes a bilevel multi-objective model for construction site security problem (CSSP). In contrast to prior studies of CSSP, the bilevel relationship and twofold random phenomenon are considered. Specifically, the upper level programming denotes that project security officer must first decide which facilities to be secured under limited funds whilst maximizing the efficiency of the construction facilities system and minimizing the countermeasure cost and economic loss. The lower level programming denotes that the attacker will destroy a subset of the facilities to inflict maximum loss of efficiency in the construction facilities system. To deal with the uncertainties, expected value method and chance constraint method are introduced to transform the uncertain model into a calculable one. Thereafter, a stochastic simulation based constraint checking procedure is designed. Plant Growth Simulation Algorithm (PGSA) is applied to solve this model. Finally, the approach is carried out in the Longtan hydropower construction project to illustrate the efficiency of the proposed model and algorithm.
Keywords: birandom variable, bilevel multi-objective model, Plant Growth Simulation Algorithm., Construction site security.
Mathematics Subject Classification: Primary: 93A30, 90B5.
Citation: Zongmin Li, Jiuping Xu, Wenjing Shen, Benjamin Lev, Xiao Lei. Bilevel multi-objective construction site security planning with twofold random phenomenon. Journal of Industrial and Management Optimization, 2015, 11 (2) : 595-617. doi: 10.3934/jimo.2015.11.595
References:
[1]

Construction Industry Institute (CII), Implementing Project Security Practices, Implementation resource BMM-3, Benchmarking and Metrics, CII, University of Texas at Austin, USA, 2005.

[2]

Federal Aviation Administration (FAA), Recommended Security Guidelines for Airport Planning, Design and Construction, Report No DOT/FAA/AR-00/52, U.S. Dept. of Transportation, Washington, D.C, 2001.

[3]

Foreign Affairs Manual (FAM), Construction security certification program, manual 12 FAM 360, Foreign Affairs Manual, Chapter 12- Diplomatic Security, U.S. Department of State, 2002.

[4]

Presidential Executive Order (PEO), National industrial security program, Federal Register, 58 (1993), 1-6.

[5]

Y. Q. Bai and C. H. Guo, Doubly nonnegative relaxation method for solving multiple objective quadratic programming problems, Journal of Industrial and Management Optimization, 10 (2014), 543-556. doi: 10.3934/jimo.2014.10.543.

[6]

R. A. Blais, M. D. Henry, S. R. Lilley, J. A. Pan, M. Grimes and Y. Y. Haimes, Risk-based methodology for assessing and managing the severity of a terrorist attack, In Systems and Information Engineering Design Symposium, SIEDS'09., 2009 (2009), 171-176.

[7]

K. Branch and K. Baker, Security during the construction of critical infrastructure in the post 9/11 context in the U.S, 8th Annual Conference on Human Factors and Power Plants, Institute of Electrical and Electronics Engineers (IEEE), Monterey, CA, USA, 2007.

[8]

J. Cai, Hydropower in China, Department of Technology and Built Environment, University of Gavle, 2009, Master's Thesis in Energy System.

[9]

O. Chadli, H. Mahdioui and J. C. Yao, Bilevel mixed equilibrium problems in Banach spaces: Existence and algorithmic aspects, Journal of Industrial and Management Optimization, 1 (2011), 549-561.

[10]

A. Charnes and W. W. Cooper, Chance-constrained programming, Management Science, 6 (1959), 73-79. doi: 10.1287/mnsc.6.1.73.

[11]

R. L. Church, M. P. Scaparra and R. S. Middleton, Identifying critical infrastructure: The median and covering facility interdiction problems, Annals of the Association of American Geographers, 94 (2004), 491-502.

[12]

M. R. Hallowell and J. A. Gambatese, Construction safety risk mitigation, Journal of Construction Engineering and Management, 135 (2009), 1316-1323.

[13]

A. Khalafallah and K. El-Rayes, Minimizing construction-related security risks during airport expansion projects, Journal of Construction Engineering and Management, 134 (2008), 40-48.

[14]

T. Li, C. Wang, W. Wang and W. Su, A global optimization bionics algorithm for solving integer programming-Plant Growth Simulation Algorithm, in Proceedings of International Conference of Management Science and Engineering, (2005), 13-15.

[15]

T. F. Liang and H. W. Cheng, Multi-objective aggregate production planning decisions using two-phase fuzzy goal programming method, Journal of Industrial and Management Optimization, 7 (2011), 365-383. doi: 10.3934/jimo.2011.7.365.

[16]

F. Liberatore, M. P. Scaparra and M. S. Daskin, Analysis of facility protection strategies against an uncertain number of attacks: The stochastic R-interdiction median problem with fortification, Computers & Operations Research, 38 (2011), 357-366. doi: 10.1016/j.cor.2010.06.002.

[17]

B. D. Liu, Theory and Practice of Uncertain Programming, Springer Verlag, 2009.

[18]

G. S. Liu and J. Zhang, Decision making of transportation plan, a bilevel transportation problem approach, Journal of Industrial and Management Optimization, 1 (2005), 305-314. doi: 10.3934/jimo.2005.1.305.

[19]

B. Matthews, J. R. Sylvie, S. Lee, S. R. Thomas, R. E. Chapman and G. E. Gibson, Addressing security in early stages of project life cycle, Journal of Management in Engineering, 22 (2006), 196-202.

[20]

B. Merz, H. Kreibich and A. Thieken, et al., Estimation uncertainty of direct monetary flood damage to buildings, Natural Hazards and Earth System Science, 4 (2004), 153-163.

[21]

J. R. O'Hanley and R. L. Church, Designing robust coverage networks to hedge against worst-case facility losses, European Journal of Operational Research, 209 (2011), 23-36. doi: 10.1016/j.ejor.2010.08.030.

[22]

J. Peng and B. D. Liu, Birandom variables and birandom programming, Computers & Industrial Engineering, 53 (2007), 433-453.

[23]

R. S. Rao, S. V. L. Narasimham and M. Ramalingaraju, Optimal capacitor placement in a radial distribution system using Plant Growth Simulation Algorithm, Electrical Power and Energy Systems, 33 (2011), 1133-1139.

[24]

J. A. Rice, Mathematical Statistics and Data Analysis, 2007, Duxbury press.

[25]

H. Said and K. El-Rayes, Optimizing the planning of construction site security for critical infrastructure projects, Automation in Construction, 19 (2010), 221-234.

[26]

A. K. Sarma and K. M. Rafi, Optimal selection of capacitors for radial distribution systems using Plant Growth Simulation Algorithm, International Journal of Advances in Science and Technology, 30 (2011), 43-54.

[27]

M. P. Scaparra and R. L. Church, A bilevel mixed-integer program for critical infrastructure protection planning, Computers & Operations Research, 35 (2008), 1905-1923.

[28]

M. Simaan and J. B. Cruz, On the Stackelberg strategy in nonzero-sum games, Journal of Optimization Theory and Applications, 11 (1973), 533-555. doi: 10.1007/BF00935665.

[29]

S. Simpson, Airport Security During Construction, presentation in: 4th Annual International Airfield Operations Area Expo & Conference, Airport Consultants Council (AAC), Milwaukee, WI, USA, 2008.

[30]

C. J. Tarr, CLASP: A computerised aid to cost effective perimeter security, in Security Technology 28th International Carnahan conference, Institute of Electrical and Electronics Engineers (IEEE), Atlanta, GA, USA, (1992), 164-168.

[31]

T. M. Toole, Construction site safety roles, Journal of Construction Engineering and Management, 128 (2002), 203-210.

[32]

T. Uno and H. Katagiri, Single-and multi-objective defensive location problems on a network, European Journal of Operational Research, 188 (2008), 76-84. doi: 10.1016/j.ejor.2007.04.003.

[33]

L. N. Vicente and P. H. Calamai, Bilevel and multilevel programming: A bibliography review, Journal of Global Optimization, 5 (1994), 291-306. doi: 10.1007/BF01096458.

[34]

G. H. Walker, Securing the construction site, presentation in: 28th IRMI Construction Risk Conference, IRMI, Las Vegas, VA, USA, 2008.

[35]

C. Wang and H. Cheng, Transmission network optimal planning based on Plant Growth Simulation Algorithm, European Transactions on Electrical Power, 19 (2009), 291-301.

[36]

J. P. Xu and C. Ding, A class of chance constrained multiobjective linear programming with birandom coeffcients and its application to vendors selection, International Journal of Production Economics, 131 (2011), 709-720.

[37]

J. P. Xu and Z. M. Tao, A class of multi-objective equilibrium chance maximization model with twofold random phenomenon and its application to hydropower station operation, Mathematics and Computers in Simulation, 85 (2012), 11-33. doi: 10.1016/j.matcom.2012.09.010.

[38]

J. P. Xu, Y. Tu and Z. Q. Zeng, A nonlinear multi-objective bilevel traffic assignment model with complex random coefficients in large-scale construction project, Mathematical Problems in Engineering, 2012 (2012), Article ID 463976, 40 pages. doi: 10.1155/2012/463976.

[39]

J. P. Xu and P. Wei, Production-distribution planning of construction supply chain management under fuzzy random environment for large-scale construction project, Journal of Industrial and Management Optimization, 9 (2013), 31-56. doi: 10.3934/jimo.2013.9.31.

[40]

J. P. Xu and L. M. Yao, Random-Like Multiple Objective Decision Making, 2011, Springer.

[41]

L. Zhang and S. Y. Wu, Robust solutions to Euclidean facility location problems with uncertain data, Journal of Industrial and Management Optimization, 6 (2010), 751-760. doi: 10.3934/jimo.2010.6.751.

show all references

References:
[1]

Construction Industry Institute (CII), Implementing Project Security Practices, Implementation resource BMM-3, Benchmarking and Metrics, CII, University of Texas at Austin, USA, 2005.

[2]

Federal Aviation Administration (FAA), Recommended Security Guidelines for Airport Planning, Design and Construction, Report No DOT/FAA/AR-00/52, U.S. Dept. of Transportation, Washington, D.C, 2001.

[3]

Foreign Affairs Manual (FAM), Construction security certification program, manual 12 FAM 360, Foreign Affairs Manual, Chapter 12- Diplomatic Security, U.S. Department of State, 2002.

[4]

Presidential Executive Order (PEO), National industrial security program, Federal Register, 58 (1993), 1-6.

[5]

Y. Q. Bai and C. H. Guo, Doubly nonnegative relaxation method for solving multiple objective quadratic programming problems, Journal of Industrial and Management Optimization, 10 (2014), 543-556. doi: 10.3934/jimo.2014.10.543.

[6]

R. A. Blais, M. D. Henry, S. R. Lilley, J. A. Pan, M. Grimes and Y. Y. Haimes, Risk-based methodology for assessing and managing the severity of a terrorist attack, In Systems and Information Engineering Design Symposium, SIEDS'09., 2009 (2009), 171-176.

[7]

K. Branch and K. Baker, Security during the construction of critical infrastructure in the post 9/11 context in the U.S, 8th Annual Conference on Human Factors and Power Plants, Institute of Electrical and Electronics Engineers (IEEE), Monterey, CA, USA, 2007.

[8]

J. Cai, Hydropower in China, Department of Technology and Built Environment, University of Gavle, 2009, Master's Thesis in Energy System.

[9]

O. Chadli, H. Mahdioui and J. C. Yao, Bilevel mixed equilibrium problems in Banach spaces: Existence and algorithmic aspects, Journal of Industrial and Management Optimization, 1 (2011), 549-561.

[10]

A. Charnes and W. W. Cooper, Chance-constrained programming, Management Science, 6 (1959), 73-79. doi: 10.1287/mnsc.6.1.73.

[11]

R. L. Church, M. P. Scaparra and R. S. Middleton, Identifying critical infrastructure: The median and covering facility interdiction problems, Annals of the Association of American Geographers, 94 (2004), 491-502.

[12]

M. R. Hallowell and J. A. Gambatese, Construction safety risk mitigation, Journal of Construction Engineering and Management, 135 (2009), 1316-1323.

[13]

A. Khalafallah and K. El-Rayes, Minimizing construction-related security risks during airport expansion projects, Journal of Construction Engineering and Management, 134 (2008), 40-48.

[14]

T. Li, C. Wang, W. Wang and W. Su, A global optimization bionics algorithm for solving integer programming-Plant Growth Simulation Algorithm, in Proceedings of International Conference of Management Science and Engineering, (2005), 13-15.

[15]

T. F. Liang and H. W. Cheng, Multi-objective aggregate production planning decisions using two-phase fuzzy goal programming method, Journal of Industrial and Management Optimization, 7 (2011), 365-383. doi: 10.3934/jimo.2011.7.365.

[16]

F. Liberatore, M. P. Scaparra and M. S. Daskin, Analysis of facility protection strategies against an uncertain number of attacks: The stochastic R-interdiction median problem with fortification, Computers & Operations Research, 38 (2011), 357-366. doi: 10.1016/j.cor.2010.06.002.

[17]

B. D. Liu, Theory and Practice of Uncertain Programming, Springer Verlag, 2009.

[18]

G. S. Liu and J. Zhang, Decision making of transportation plan, a bilevel transportation problem approach, Journal of Industrial and Management Optimization, 1 (2005), 305-314. doi: 10.3934/jimo.2005.1.305.

[19]

B. Matthews, J. R. Sylvie, S. Lee, S. R. Thomas, R. E. Chapman and G. E. Gibson, Addressing security in early stages of project life cycle, Journal of Management in Engineering, 22 (2006), 196-202.

[20]

B. Merz, H. Kreibich and A. Thieken, et al., Estimation uncertainty of direct monetary flood damage to buildings, Natural Hazards and Earth System Science, 4 (2004), 153-163.

[21]

J. R. O'Hanley and R. L. Church, Designing robust coverage networks to hedge against worst-case facility losses, European Journal of Operational Research, 209 (2011), 23-36. doi: 10.1016/j.ejor.2010.08.030.

[22]

J. Peng and B. D. Liu, Birandom variables and birandom programming, Computers & Industrial Engineering, 53 (2007), 433-453.

[23]

R. S. Rao, S. V. L. Narasimham and M. Ramalingaraju, Optimal capacitor placement in a radial distribution system using Plant Growth Simulation Algorithm, Electrical Power and Energy Systems, 33 (2011), 1133-1139.

[24]

J. A. Rice, Mathematical Statistics and Data Analysis, 2007, Duxbury press.

[25]

H. Said and K. El-Rayes, Optimizing the planning of construction site security for critical infrastructure projects, Automation in Construction, 19 (2010), 221-234.

[26]

A. K. Sarma and K. M. Rafi, Optimal selection of capacitors for radial distribution systems using Plant Growth Simulation Algorithm, International Journal of Advances in Science and Technology, 30 (2011), 43-54.

[27]

M. P. Scaparra and R. L. Church, A bilevel mixed-integer program for critical infrastructure protection planning, Computers & Operations Research, 35 (2008), 1905-1923.

[28]

M. Simaan and J. B. Cruz, On the Stackelberg strategy in nonzero-sum games, Journal of Optimization Theory and Applications, 11 (1973), 533-555. doi: 10.1007/BF00935665.

[29]

S. Simpson, Airport Security During Construction, presentation in: 4th Annual International Airfield Operations Area Expo & Conference, Airport Consultants Council (AAC), Milwaukee, WI, USA, 2008.

[30]

C. J. Tarr, CLASP: A computerised aid to cost effective perimeter security, in Security Technology 28th International Carnahan conference, Institute of Electrical and Electronics Engineers (IEEE), Atlanta, GA, USA, (1992), 164-168.

[31]

T. M. Toole, Construction site safety roles, Journal of Construction Engineering and Management, 128 (2002), 203-210.

[32]

T. Uno and H. Katagiri, Single-and multi-objective defensive location problems on a network, European Journal of Operational Research, 188 (2008), 76-84. doi: 10.1016/j.ejor.2007.04.003.

[33]

L. N. Vicente and P. H. Calamai, Bilevel and multilevel programming: A bibliography review, Journal of Global Optimization, 5 (1994), 291-306. doi: 10.1007/BF01096458.

[34]

G. H. Walker, Securing the construction site, presentation in: 28th IRMI Construction Risk Conference, IRMI, Las Vegas, VA, USA, 2008.

[35]

C. Wang and H. Cheng, Transmission network optimal planning based on Plant Growth Simulation Algorithm, European Transactions on Electrical Power, 19 (2009), 291-301.

[36]

J. P. Xu and C. Ding, A class of chance constrained multiobjective linear programming with birandom coeffcients and its application to vendors selection, International Journal of Production Economics, 131 (2011), 709-720.

[37]

J. P. Xu and Z. M. Tao, A class of multi-objective equilibrium chance maximization model with twofold random phenomenon and its application to hydropower station operation, Mathematics and Computers in Simulation, 85 (2012), 11-33. doi: 10.1016/j.matcom.2012.09.010.

[38]

J. P. Xu, Y. Tu and Z. Q. Zeng, A nonlinear multi-objective bilevel traffic assignment model with complex random coefficients in large-scale construction project, Mathematical Problems in Engineering, 2012 (2012), Article ID 463976, 40 pages. doi: 10.1155/2012/463976.

[39]

J. P. Xu and P. Wei, Production-distribution planning of construction supply chain management under fuzzy random environment for large-scale construction project, Journal of Industrial and Management Optimization, 9 (2013), 31-56. doi: 10.3934/jimo.2013.9.31.

[40]

J. P. Xu and L. M. Yao, Random-Like Multiple Objective Decision Making, 2011, Springer.

[41]

L. Zhang and S. Y. Wu, Robust solutions to Euclidean facility location problems with uncertain data, Journal of Industrial and Management Optimization, 6 (2010), 751-760. doi: 10.3934/jimo.2010.6.751.

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