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Finding Pareto Optimal Front for the Multi-Mode Time, Cost Quality Trade-off in Project Scheduling
Abstract:Project managers are the ultimate responsible for the overall characteristics of a project, i.e. they should deliver the project on time with minimum cost and with maximum quality. It is vital for any manager to decide a trade-off between these conflicting objectives and they will be benefited of any scientific decision support tool. Our work will try to determine optimal solutions (rather than a single optimal solution) from which the project manager will select his desirable choice to run the project. In this paper, the problem in project scheduling notated as (1,T|cpm,disc,mu|curve:quality,time,cost) will be studied. The problem is multi-objective and the purpose is finding the Pareto optimal front of time, cost and quality of a project (curve:quality,time,cost), whose activities belong to a start to finish activity relationship network (cpm) and they can be done in different possible modes (mu) which are non-continuous or discrete (disc), and each mode has a different cost, time and quality . The project is constrained to a non-renewable resource i.e. money (1,T). Because the problem is NP-Hard, to solve the problem, a meta-heuristic is developed based on a version of genetic algorithm specially adapted to solve multi-objective problems namely FastPGA. A sample project with 30 activities is generated and then solved by the proposed method.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1332842Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1495
 Project Management Institute, "A guide to the project management body of knowledge", Third Edition, PMI Publisher, 2004, pp. 110-117
 Babu, A.J.G., and Nalina Suresh. "Project management with time, cost, and quality considerations." Journal of Operational Research 88, 1996: 320-327.
 Kelly, J. "Critical-path planning and scheduling: Mathematical basis." (Operations Research) 9, no. 3 (1961): 296-320.
 Fulkerson, D.R. "A network flow computation for project cost curves." (Management Science) 7, no. 2 (1961): 167-181.
 Demeulemeester, Erik l., and Willy S. Herroelen. "Project Scheduling: A research handbook". Kluwer Academy Publishers inc., 2002.
 Demeulemeester, E., S. E Elmaghraby, and W. Herroelen. "Optimal procedures for the discrete time/cost trade-off problem in project networks." Vol. 88. European Journal of Operational Research, 1996
 De, P., E. J. Dunne, J. B. Ghosh, and C. E. Wells. "Complexity of the discrete time/cost trade-off problem for project networks." (Operations Research) 45 (1997): 302-306.
 Tareghian, Hamed R., and Seyyed Hassan Taheri. "On the discrete time, cost and quality trade-off problem."Applied Mathematics and Computation 181 (2006): 1305-1312.
 Tareghian, Hamed R., and Seyyed Hassan Taheri. "A solution procedure for the discrete time,cost and quality tradeoff problem using electromagnetic scatter." Applied Mathematics and Computation 190 (2007): 1136-1145.
 Herroelen, W., E. Demeulemeester, and B. De Reyck. "A classification scheme for project scheduling problems." J. Weglarz (Ed.), Handbook on recent advances in project scheduling, 1999.
 Eskandari, H., and C.D. Geiger. "A Fast Pareto Genetic Algorithm Approach for Solving Expensive Multiobjective Optimization Problems." (Journal of Heuristics) in press (2006).
 April, J., F. Glover, J. Kelly, and M. Laguna. "Practical introduction to simulation optimization." Practical introduction to simulation optimization. Piscataway: Chick, S.(ed.), 2003. 71-78.
 Deb, K. "Multi-Objective Optimization using Evolutionary Algorithms." Chichester, UK: John Wiley & Sons, 2001.