In this study, a new mathematical model is presented. The purpose of this article is to introduce a fractal resource requirement planning (FRRP) model. Assuming three levels of headquarters, regions, and projects as a fractal. This study was carried out in one of the contracting. The finding shows the proposed model could be used in project oriented construction companies.

2. Organizations
 My Ph.D. University:
Science and Research Branch, Azad University, Tehran, Iran.
 My Organization:
Department of New Technologies, Center for European Studies, Kharazmi
University, Tehran, Iran.
 My current position:
Faculty of Manufacturing Technologies, Technical University of Kosice,
Slovakia.

3. Research title:
Optimizing the resource’s mobility, transportation, and
networking in the project construction industry, using a
fractal method

4. The impact of the construction industry on the economic
efficiency:
In 2012, in the United Kingdom, the construction industry contributed
83 billion Euros to economic output with around 2 million jobs.
In 2014, in the United States, this sector contributed 716 billion dollars
to the gross domestic product, with around 6 million jobs.
Introduction and research problem
The U.S. Bureau of Economic Analysis: http://www.bea.gov/industry/gdpbyind_data.htm
The U.S. Bureau of Labour Statistics: http://www.bls.gov/emp/ep_table_201.htm

5.  The construction project management problem comes from
practice
 The project schedules are not always optimal
 Using optimization methods (i.e. Project resource planning)
Introduction and research problem

6. Introduction and research problem
 In construction companies, choosing a finishing strategy to provide
resources and raw materials is very important.
 Contracting companies in the country's construction field may have
projects in different parts of the country.
 If the volume of work or the number of projects in the region increases,
it is cost-effective to participate in the preparation and supply of
materials.

7. Introduction
 In this study, a new mathematical model is presented.
 The purpose of this article is to introduce a fractal resource requirement planning
(FRRP) model.
 Assuming three levels of headquarters, regions, and projects as a fractal.
 This study was carried out in one of the contracting.
 The finding shows the proposed model could be used in project-oriented
construction companies.

8. Background of research
 Warneck (1993) used a fractal method to optimize the supply chain network to
increases the speed and reduces the cost of the entire network in manufacturing
industries.
 Liu and Wang (2007) presented a flexible model for resolving linear scheduling problems
involving different objectives and resource assignment tasks.
 Cheng et al. (2013) developed a resource management model using the information
constraint net to simulate and optimize resource allocation in the design process.

9. Research question
 Can the fractal model presented in this research be used and
implemented for resource management in project-oriented
construction companies?

10. Research
methodology
Fig. 1. First layer: the headquarters

11. Research methodology
Fig. 2. The second layer: the set of activity areas

12. Research methodology
Fig. 3. The third layer: the collection of projects of the region

13. Research methodology
Fig. 4. Conceptual model of the research

14. Research implementation
Fig. 5. Geographical location of existing projects

15. Research implementation
Fig. 6. Geographical location of existing projects in the southern part of Fars province

16. Research implementation
Fig. 7. Geographical division of existing projects into regions

17. Findings and results
INDEX 1 = machine Alamut Shirkooh Pataveh 1 Pataveh 2 Heart
1.alamut 40
1.shirkooh 40
1.pataveh2 30 40
1.herat 40
2.pataveh1 50 80
2.herat 80 80 80
3.alamut 100
3.shirkooh 100 20
3.pataveh1 100 20
3.pataveh2 20 100
3.herat 20 20 100
Table 1. Transferred values of type 1 manpower

18. Findings and results
Table 2. Transferred values of material type 1
INDEX 1 = material Alamut Shirkooh Pataveh 1 Pataveh 2 Heart
1.alamut 40
1.shirkooh 40 40
1.herat 40 40
2.shirkooh 80
2.pataveh1 80 80
2.pataveh2 80
2.herat 80
3.shirkooh 100 20 100
3.pataveh1 20 20 20
3.pataveh2 100 100
3.herat 20 100

19. Findings and results
Table 3. Transferred values of manpower type 1
INDEX 1 = human Alamut Shirkooh Pataveh 1 Pataveh 2 Heart
1.shirkooh 40 40
1.pataveh1 40 40
1.pataveh2 40
2.alamut 80
2.shirkooh 80 80
2.pataveh1 80
2.herat 80
3.alamut 20 20 20 100
3.shirkooh 100 20
3.pataveh1 100 100
3.pataveh2 100
3.herat 20

20.  In this research, the traditional concept of resource planning was changed.
 To evaluate the proposed model, it was coded and run by GAMS software and the
project information has been used as the input of this mathematical model.
 Due to the research question, after analyzing and results, it is specified that the
proposed model could be used and implemented for resource management in
project-oriented construction companies.
 For future research
Discussion & conclusion

21. References
Bider, I., Perjons, E., Elias, M., & Johannesson, P. (2017). A fractal enterprise model and its application for business development. Software & Systems
Modeling, 16(3), 663-689. https://doi.org/10.1007/s10270-016-0554-9
Canavesio, M. M., & Martinez, E. (2007). Enterprise modeling of a project-oriented fractal company for SMEs networking. Computers in
industry, 58(8-9), 794-813. https://doi.org/10.1016/j.compind.2007.02.005
Canavesio, M. M., Quaglia, C., & Martinez, E. (2016). Agent-based simulation of a project fractal company. In XXII Congreso Argentino de Ciencias de
la Computación (CACIC 2016).
Chen, S. M., Chen, P. H., & Chang, L. M. (2012). Simulation and analytical techniques for construction resource planning and scheduling. Automation
in construction, 21, 99-113. https://doi.org/10.1016/j.autcon.2011.05.018
Cheng, F., Li, H., Wang, Y. W., Skitmore, M., & Forsythe, P. (2013). Modeling resource management in the building design process by information
constraint Petri nets. Automation in Construction, 29, 92-99. https://doi.org/10.1016/j.autcon.2012.08.005
Cheraghi, E., Zohrehvandi, S., Vanhoucke, M., & Tosarkani, B. M. (2022). A multiproject scheduling and resource management model in projects
construction. Engineering, Construction and Architectural Management. https://doi.org/10.1108/ECAM-02-2021-0177
Karaa, F. A., & Nasr, A. Y. (1986). Resource management in construction. Journal of construction engineering and management, 112(3), 346-357.
Karaulova, T., Poljantshikov, I., Shevtshenko, E., & Kramarenko, S. (2014). Fractal approach for manufacturing project management. Mechanics, 20(3),
352-359. https://doi.org/10.5755/j01.mech.20.3.6755

22. References
Peralta, M. E., & Soltero, V. M. (2020). Analysis of fractal manufacturing systems framework towards industry 4.0. Journal of manufacturing
systems, 57, 46-60. https://doi.org/10.1016/j.jmsy.2020.08.004
Rahmanniyay, F., & Yu, A. J. (2019). A multi-objective stochastic programming model for project-oriented human-resource management
optimization. International Journal of Management Science and Engineering Management, 14(4), 231-239.
https://doi.org/10.1080/17509653.2018.1534220
Sun, H., Liu, H., Tian, J., Guo, R., Xu, Q., Yao, L., ... & Zhu, C. (2022). Modelling and Optimizing Resource Management and Environmental Benefit of
Construction and Demolition Waste: A Case Study in China. Buildings, 12(9), 1361. https://doi.org/10.3390/buildings12091361
Warnecke, H. J. (1993). “The Fractal Company: a Revolution in Corporate Culture, Springer-Verlag. Berlin.
Zohrehvandi, S. (2022). A Project-Scheduling and Resource Management Heuristic Algorithm in the Construction of Combined Cycle Power Plant
Projects. Computers, 11(2), 23. https://doi.org/10.3390/computers11020023
Zohrehvandi, S., Vanhoucke, M., & Khalilzadeh, M. (2020). A project buffer and resource management model in energy sector; a case study in
construction of a wind farm project. International Journal of Energy Sector Management, 14(6), 1123-1142. https://doi.org/10.1108/IJESM-10-2019-
0025

23. Thank you for
your attention