A new analytical methodology to handle time-cost trade-off problem with considering quality loss cost under interval-valued fuzzy uncertainty

    Mohammad Hossein Haghighi Affiliation
    ; Seyed Meysam Mousavi Affiliation
    ; Jurgita Antuchevičienė   Affiliation
    ; Vahid Mohagheghi Affiliation


This paper proposes a new framework in addressing time-cost trade-off problem (TCTP) under uncertainty. First critical path analysis is carried out based on developing a new interval-valued fuzzy (IVF)-program evaluation and review technique (PERT) approach. Then, non-conformance risks that influence on execution quality of activities are identified and evaluated based on a new approach that considers probability of risk along with impacts on time, cost, and performance. Then, a new mathematical model under IVF uncertainty is presented to decrease project total time while considering time, cost and quality loss cost that is determined in form of rework or modification cost. Finally, the approach categorizes the activities in three groups based on their level of criticality. Outcome of this methodology is a scheduling that addresses time, cost and quality trade-offs in addition to categorizing activities in different groups based on being on the critical path. Therefore, the project manager not only gets a scheduling based on the TCTP with considering quality loss cost but also has a knowledge of activities that require extra attentions. To show the steps of this methodology, an existing application from the literature is adopted and solved.

Keyword : time-cost trade-off problems, quality loss cost, project non-conformance risks, intervalvalued fuzzy-program evaluation and review technique, interval-valued fuzzy sets

How to Cite
Haghighi, M. H., Mousavi, S. M., Antuchevičienė, J., & Mohagheghi, V. (2019). A new analytical methodology to handle time-cost trade-off problem with considering quality loss cost under interval-valued fuzzy uncertainty. Technological and Economic Development of Economy, 25(2), 277-299.
Published in Issue
Feb 21, 2019
Abstract Views
PDF Downloads
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.


Afruzi, E. N., Najafi, A. A., Roghanian, E., & Mazinani, M. (2014). A multi-objective imperialist competitive algorithm for solving discrete time, cost and quality trade-off problems with mode-identity and resource-constrained situations. Computers & Operations Research, 50, 80-96.

Ammar, M. A. (2010). Optimization of project time-cost trade-off problem with discounted cash flows. Journal of Construction Engineering and Management, 137(1), 65-71.

Bettemir, Ö. H., & Birgönül, M. T. (2017). Network analysis algorithm for the solution of discrete time-cost trade-off problem. KSCE Journal of Civil Engineering, 21(4), 1047-1058.

Carlsson, C., & Fullér, R. (2001). On possibilistic mean value and variance of fuzzy numbers. Fuzzy Sets and Systems, 122(2), 315-326.

Castro-Lacouture, D., Süer, G. A., Gonzalez-Joaqui, J., & Yates, J. K. (2009). Construction project scheduling with time, cost, and material restrictions using fuzzy mathematical models and critical path method. Journal of Construction Engineering and Management, 135(10), 1096-1104.

Chen, S. J., & Chen, S. M. (2008). Fuzzy risk analysis based on measures of similarity between interval-valued fuzzy numbers. Computers & Mathematics with Applications, 55(8), 1670-1685.

Chen, S. P., & Tsai, M. J. (2011). Time–cost trade-off analysis of project networks in fuzzy environments. European Journal of Operational Research, 212(2), 386-397.

Cheng, M. Y., & Tran, D. H. (2014). Two-phase differential evolution for the multi-objective optimization of time–cost trade-offs in resource-constrained construction projects. IEEE Transactions on Engineering Management, 61(3), 450-461.

Dahooie, J. H., Zavadskas, E. K., Abolhasani, M., Vanaki, A., & Turskis, Z. (2018). A novel approach for evaluation of projects using an interval–valued fuzzy Additive Ratio Assessment (ARAS) method: a case study of oil and gas well drilling projects. Symmetry, 10(2), 1-45.

Ebrahimnejad, S., Mousavi, S. M., Tavakkoli-Moghaddam, R., & Heydar, M. (2014). Risk ranking in mega projects by fuzzy compromise approach: A comparative analysis. Journal of Intelligent and Fuzzy Systems, 26(2), 949-959.

El-Sayegh, S. M., & Al-Haj, R. (2017). A new framework for time-cost trade-off considering float loss impact. Journal of Financial Management of Property and Construction, 22(1), 20-36.

Foroozesh, N., Tavakkoli-Moghaddam, R., & Mousavi S. M. (2018). Sustainable-supplier selection for manufacturing services: a new failure mode and effects analysis model based on interval-valued fuzzy group decision-making. International Journal of Advanced Manufacturing Technology, 95(9-12), 3609-3629.

Gwak, H. S., Son, S. H., Park, Y. J., & Lee, D. E. (2016). Exact time–cost trade-off analysis in concurrency-based scheduling. Journal of Construction Engineering and Management, 142(10), 04016054.

Hazır, Ö. (2015). A review of analytical models, approaches and decision support tools in project monitoring and control. International Journal of Project Management, 33(4), 808-815.

He, Z., He, H., Liu, R., & Wang, N. (2017). Variable neighbourhood search and tabu search for a discrete time/cost trade-off problem to minimize the maximal cash flow gap. Computers & Operations Research, 78, 564-577.

Hong, D. H., & Lee, S. (2002). Some algebraic properties and a distance measure for interval-valued fuzzy numbers. Information Sciences, 148(1-4), 1-10.

Hosseini-Nasab, H., Pourkheradmand, M., & Shahsavaripour, N. (2017). Solving multi-mode time-cost-quality trade-off problem in uncertainty condition using a novel genetic algorithm. International Journal of Management and Fuzzy Systems, 3(3), 1-32.

Ke, H., & Ma, J. (2014). Modeling project time–cost trade-off in fuzzy random environment. Applied Soft Computing, 19, 80-85.

Kim, J., Kang, C., & Hwang, I. (2012). A practical approach to project scheduling: considering the potential quality loss cost in the time–cost trade-off problem. International Journal of Project Management, 30(2), 264-272.

Lee, H. G., Yi, C. Y., & Lee, D. E. (2015). An advanced stochastic time‐cost trade-off analysis based on a cpm‐guided genetic algorithm. Computer‐Aided Civil and Infrastructure Engineering, 30(10), 824-842.

Martin, P., & Tate, K. (2002). Getting started in project management (Vol. 51). New York: John Wiley & Sons.

Meier, C., Yassine, A. A., Browning, T. R., & Walter, U. (2016). Optimizing time–cost trade-offs in product development projects with a multi-objective evolutionary algorithm. Research in Engineering Design, 27(4), 347-366.

Mohagheghi, V., Mousavi, S. M., & Vahdani, B. (2015). A new optimization model for project portfolio selection under interval-valued fuzzy environment. Arabian Journal for Science and Engineering, 40(11), 3351-3361.

Mohagheghi, V., Mousavi, S. M., & Vahdani, B. (2016). A new multi-objective optimization approach for sustainable project portfolio selection: a real world application under interval-valued fuzzy environment. Iranian Journal of Fuzzy Systems, 13(6), 41-68.

Mohagheghi, V., Mousavi, S. M., & Vahdani, B. (2017). Analyzing project cash flow by a new interval type-2 fuzzy model with an application to construction industry. Neural Computing and Applications, 28, 3393-3411.

Mohagheghi, V., Mousavi, S. M., Vahdani, B., & Shahriari, M. R. (2017). R&D project evaluation and project portfolio selection by a new interval type-2 fuzzy optimization approach. Neural Computing and Applications, 28, 3869–3888.

Mohagheghi, V., Mousavi, S. M., Vahdani, B., & Siadat, A. (2017). A mathematical modeling approach for high and new technology-project portfolio selection under uncertain environments. Journal of Intelligent and Fuzzy Systems, 32, 4069-4079.

Monghasemi, S., Nikoo, M. R., Fasaee, M. A. K., & Adamowski, J. (2015). A novel multi criteria decision making model for optimizing time–cost–quality trade-off problems in construction projects. Expert systems with applications, 42(6), 3089-3104.

Mousavi, S. M., Tavakkoli-Moghaddam, R., Vahdani, B., Hashemi, H., & Sanjari, M. J. (2013). A new support vector model-based imperialist competitive algorithm for time estimation in new product development projects. Robotics and Computer-Integrated Manufacturing, 29, 157-168.

Mousavi, S. M., Vahdani, B., & Abdollahzade, M. (2015). An intelligent model for cost prediction in new product development projects. Journal of Intelligent and Fuzzy Systems, 29(5), 2047-2057.

Mousavi, S. M., Vahdani, B., Tavakkoli-Moghaddam, R., Ebrahimnejad, S., & Amiri, M. (2013). A multi-stage decision making process for multiple attributes analysis under an interval-valued fuzzy environment. International Journal of Advanced Manufacturing Technology, 64, 1263-1273.

Orm, M. B., & Jeunet, J. (2018). Time cost quality trade-off problems: a survey exploring the assessment of quality. Computers & Industrial Engineering, 118(1), 319-328.

Salari, M., Bagherpour, M., & Reihani, M. H. (2015). A time-cost trade-off model by incorporating fuzzy earned value management: A statistical based approach. Journal of Intelligent & Fuzzy Systems, 28(4), 1909-1919.

Singh, G., & Ernst, A. T. (2011). Resource constraint scheduling with a fractional shared resource. Operations Research Letters, 39(5), 363-368.

Soltani, A., & Haji, R. (2007). A project scheduling method based on fuzzy theory. Journal of Industrial and Systems Engineering, 1(1), 70-80.

Tavana, M., Abtahi, A. R., & Khalili-Damghani, K. (2014). A new multi-objective multi-mode model for solving preemptive time–cost–quality trade-off project scheduling problems. Expert Systems with Applications, 41(4), 1830-1846.

Tran, D. H., Luong, D. L., Duong, M. T., Le, T. N., & Pham, A. D. (2017). Opposition multiple objective symbiotic organisms search (OMOSOS) for time, cost, quality and work continuity trade-off in repetitive projects. Journal of Computational Design and Engineering, 5(2), 160-172.

Tseng, M. L., Lim, M., Wu, K. J., Zhou, L., & Bui, D. T. D. (2018). A novel approach for enhancing green supply chain management using converged interval-valued triangular fuzzy numbers-grey relation analysis. Resources. Conservation and Recycling, 128, 122-133.

Vahdani, B., Mousavi, S. M., Hashemi, H., Mousakhani, M., & Ebrahimnejad, S. (2014). A new hybrid model based on least squares support vector machine for project selection problem in construction industry. Arabian Journal for Science and Engineering, 39, 4301-4314.

Vahdani, B., Mousavi, S. M., & Ebrahimnejad, S. (2014). Soft computing-based preference selection index method for human resource management. Journal of Intelligent and Fuzzy Systems, 26(1), 393-403.

Wood, D. A. (2017). Gas and oil project time-cost-quality trade-off: Integrated stochastic and fuzzy ulti-objective optimization applying a memetic, non-dominated, sorting algorithm. Journal of Natural Gas Science and Engineering, 45, 143-164.

Xu, J., Zheng, H., Zeng, Z., Wu, S., & Shen, M. (2012). Discrete time–cost–environment trade-off problem for large-scale construction systems with multiple modes under fuzzy uncertainty and its application to Jinping-II Hydroelectric Project. International Journal of Project Management, 30(8), 950-966.

Yao, J. S., & Lin, F. T. (2002). Constructing a fuzzy flow-shop sequencing model based on statistical data. International Journal of Approximate Reasoning, 29(3), 215-234.

Zhang, Z., & Zhong, X. (2018). Time/resource trade-off in the robust optimization of resource-constraint project scheduling problem under uncertainty. Journal of Industrial and Production Engineering, 35(4), 243-254.