EURO 2024 Copenhagen
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1951. Exploring New Insights into the Multi-Mode Resource-Constrained Project Scheduling Problem

Invited abstract in session MD-60: RCPSP and extensions, stream Project Management and Scheduling.

Monday, 14:30-16:00
Room: S09 (building: 101)

Authors (first author is the speaker)

1. Sofía Rodríguez Ballesteros
Center of Operations Research, Miguel Hernández University of Elche
2. Javier Alcaraz
Center of Operations Research, Universidad Miguel Hernández de Elche
3. Laura Anton-Sanchez
Center of Operations Research, Universidad Miguel Hernández de Elche

Abstract

This study introduces a new variant of the Multi-Mode Resource-Constrained Project Scheduling Problem (MRCPSP), integrating two common real-world aspects: time-dependent resource costs and time-varying resource capacities. Time-dependent resource costs imply that costs vary based on resource utilization time, while time-varying resource capacities involve resource availability across different planning horizon periods. Employing a multi-objective framework, the study aims to minimize both the makespan and the total resource usage costs. A mathematical formulation is presented, and attempts are made to identify the Pareto front (PF) using an exact method. However, due to the problem complexity, a metaheuristic approach is developed to approximate the PF. We propose a new NSGA-II based metaheuristic, designing a novel solution encoding and the corresponding genetic operators to accommodate the new problem elements. Furthermore, we propose a fitness function to handle infeasible individuals within the multi-objective context. Computational experiments are conducted using instances derived from existing literature, demonstrating the algorithm's strong performance.

Keywords

Status: accepted


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