A multi-objective scheduling algorithm for multi-mode resource constrained projects in the presence of uncertain resource availability

Goal: The issue of resource allocation is a major concern for project engineers in the scheduling process of a project. Resources over-allocation are often seen in practice after the scheduling of a project, which makes scheduling unhelpful. Modifying an over-allocated schedule is very complicated and requires a lot of effort and time. Besides, during the scheduling process of resource-constrained projects in the constructing companies, managers should concern more than one objective at the same time. This research aims to propose a new heuristic algorithm for minimizing project completion time, cost or maximizing quality of execution of activities simultaneously while multi-mode activities are taken into consideration. Design / Methodology / Approach: In this research, a new heuristic method is proposed for solving multi-objective scheduling problem for multi-mode resource constrained project scheduling problems (MRCPSPs) where the aim is maximizing the net present value (NPV) of project, minimize completion time and maximize the quality of executing activities simultaneously and along with emerging the uncertainty of resources availability and activity durations. The proposed method is then coded by Matlab® 2016. Results: The outcomes of solving small, medium and large scale case studies, the following results achieved: (i) the algorithm could solve all problems in different circumstances with no difficulties; (ii) the large scale problems (with 200 activities, 20 resources and 3 execution modes for each activity) could be solved in 4.43 seconds. (iii) in none of the studied cases over-allocation problem. The proposed method can be considered among the fastest scheduling algorithms found in the literature. In addition, it is found that makespan, NPV and quality have co-relation must be taken into consideration during the scheduling process. Limitations of the investigation: The main limitations of this research is that it only covers resource constrained project scheduling. Moreover, risk factors associated with the objectives of this research have yet to be addressed in future research studies. Practical implications: The performance of the algorithm is validated by using 24 series of dataset that are found in the literature. In order to verify its performance in real practice, it has been applied for a part of a construction project in Malaysia. The outcomes indicated that the algorithm scheduled the problem with 23 activities, 5 constrained resources and 2 execution modes in less than a second and with no over-allocations. The proposed multi-objective algorithm allows the project managers to consider NPV, completion time and quality of activities while scheduling a multi-mode project. In practice, this algorithm can provide a better atmosphere for managers while they aim to consider more than one objective during the scheduling process. Originality / Value: The proposed algorithm is original and can be of great value for future studies and managers in preventing resource over-allocation during the scheduling of multi-objective multi-mode resource constraint project scheduling. Moreover, it can help project managers to find near optimum solutions for complex multi-objective resource constraint projects faster and also with more accuracy.

[1]  Mohd Khairol Anuar Mohd Ariffin,et al.  Minimizing makespan of a resource-constrained scheduling problem: A hybrid greedy and genetic algorithms , 2015 .

[2]  Mario Vanhoucke,et al.  A heuristic procedure to solve the project staffing problem with discrete time/resource trade-offs and personnel scheduling constraints , 2019, Comput. Oper. Res..

[3]  Min-Yuan Cheng,et al.  Opposition-based Multiple Objective Differential Evolution (OMODE) for optimizing work shift schedules , 2015 .

[4]  Baoding Liu,et al.  Fuzzy project scheduling problem and its hybrid intelligent algorithm , 2010 .

[5]  Michele Lombardi,et al.  A min-flow algorithm for Minimal Critical Set detection in Resource Constrained Project Scheduling , 2012, Artif. Intell..

[6]  Francisco Ballestín,et al.  Pre-emption in resource-constrained project scheduling , 2008, Eur. J. Oper. Res..

[7]  Parham Azimi,et al.  A new fuzzy multi-objective multi-mode resource-constrained project scheduling model , 2017, Int. J. Math. Oper. Res..

[8]  R. Hartl,et al.  On the generalization of constraint programming and boolean satisfiability solving techniques to schedule a resource-constrained project consisting of multi-mode jobs , 2017 .

[9]  Kin Keung Lai,et al.  Genetic algorithm-based multi-criteria project portfolio selection , 2012, Ann. Oper. Res..

[10]  Maghsoud Amiri,et al.  Solving a generalised precedence multi-objective multi-mode time-cost-quality trade-off project scheduling problem using a modified NSGA-II algorithm , 2013 .

[11]  Bassem Jarboui,et al.  A combinatorial particle swarm optimization for solving multi-mode resource-constrained project scheduling problems , 2008, Appl. Math. Comput..

[12]  Mario Vanhoucke,et al.  Vlerick Leuven Gent Working Paper Series 2006/15 the Impact of Various Activity Assumptions on the Lead-time and Resource Utilization of Resource-constrained Projects the Impact of Various Activity Assumptions on the Lead-time and Resource Utilization of Resource-constrained Projects Vlerick Leuven , 2022 .

[13]  Athanasios P. Chassiakos,et al.  A Genetic Algorithm for Optimal Resource-driven Project Scheduling☆ , 2015 .

[14]  Zohar Laslo Project portfolio management: An integrated method for resource planning and scheduling to minimize planning/scheduling-dependent expenses , 2010 .

[15]  Manuel Castejón Limas,et al.  Effort estimates through project complexity , 2011, Ann. Oper. Res..

[16]  T. Stützle,et al.  Iterated Local Search: Framework and Applications , 2018, Handbook of Metaheuristics.

[17]  Mario Vanhoucke,et al.  A genetic algorithm for the preemptive and non-preemptive multi-mode resource-constrained project scheduling problem , 2010, Eur. J. Oper. Res..

[18]  Mohamed Haouari,et al.  A two-stage-priority-rule-based algorithm for robust resource-constrained project scheduling , 2008, Comput. Ind. Eng..

[19]  Ahad Ali,et al.  An applicable method for modifying over-allocated multi-mode resource constraint schedules in the presence of preemptive resources , 2017, Ann. Oper. Res..

[20]  Marco E. Lübbecke,et al.  Discrete Optimization A branch-price-and-cut algorithm for multi-mode resource leveling ✩ , 2015 .

[21]  Ying Wang,et al.  Optimization models for high-speed train unit routing problems , 2019, Comput. Ind. Eng..

[22]  Reza Tavakkoli-Moghaddam,et al.  Multi-objective integrated planning and scheduling model for operating rooms under uncertainty , 2018, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[23]  Sha Tao,et al.  Multi-mode resource-constrained project scheduling problem with alternative project structures , 2018, Comput. Ind. Eng..

[24]  Rojali,et al.  Resource-Constrained Project Scheduling Problem using Firefly Algorithm , 2018 .

[25]  Jin Ye,et al.  A heuristic project scheduling approach for quick response to maritime disaster rescue , 2009 .

[26]  A. S. Azfanizam,et al.  A Backward Approach for Maximizing Net Present Value of Multimode Pre-emptive Resource-Constrained Project Scheduling Problem with Discounted Cash Flows Using Simulated Annealing Algorithm , 2014, International Journal of Industrial Engineering and Management.

[27]  Seyed Taghi Akhavan Niaki,et al.  A hybrid project scheduling and material ordering problem: Modeling and solution algorithms , 2017, Appl. Soft Comput..

[28]  Ronald G. Askin,et al.  Project selection, scheduling and resource allocation with time dependent returns , 2009, Eur. J. Oper. Res..

[29]  Alexander A. Lazarev,et al.  An efficient pseudo-polynomial algorithm for finding a lower bound on the makespan for the Resource Constrained Project Scheduling Problem , 2019, Eur. J. Oper. Res..

[30]  Ender Özcan,et al.  Combining Monte-Carlo and hyper-heuristic methods for the multi-mode resource-constrained multi-project scheduling problem , 2015, Inf. Sci..

[31]  Nengmin Wang,et al.  Metaheuristics for multi-mode cash flow balanced project scheduling with stochastic duration of activities , 2017 .

[32]  Hamidreza Maghsoudlou,et al.  A multi-objective invasive weeds optimization algorithm for solving multi-skill multi-mode resource constrained project scheduling problem , 2016, Comput. Chem. Eng..

[33]  Walter J. Gutjahr,et al.  Bi-Objective Multi-Mode Project Scheduling Under Risk Aversion , 2015, Eur. J. Oper. Res..

[34]  Eric Sanlaville,et al.  Linear programming based algorithms for preemptive and non-preemptive RCPSP , 2007, Eur. J. Oper. Res..

[35]  Taïcir Loukil,et al.  Multi-objective algorithms to multi-mode resource-constrained projects under mode change disruption , 2017, Comput. Ind. Eng..

[36]  Ezzat Othman,et al.  Challenges of mega construction projects in developing countries , 2013 .

[37]  D. Drakakis-smith,et al.  The Role of the State in Shaping Development: Two Decades of Growth in Singapore , 1985 .

[38]  Grzegorz Waligóra,et al.  Project scheduling with finite or infinite number of activity processing modes - A survey , 2011, Eur. J. Oper. Res..

[39]  Arun Kumar Sangaiah,et al.  Multi-objective multi-mode resource constrained project scheduling problem using Pareto-based algorithms , 2019, Computing.

[40]  Mitsuo Gen,et al.  Multi-criteria human resource allocation for solving multistage combinatorial optimization problems using multiobjective hybrid genetic algorithm , 2008, Expert Syst. Appl..