Solving a multi-objective multi-mode resource-constrained project scheduling problem with discounted cash flows
نویسنده
چکیده
This paper presents a multi-objective multi-mode resource-constrained project scheduling problem (MRCPSP) with positive and negative cash flows. We consider the objectives of the net present value (NPV) maximization and robustness maximization along by makespan minimization. Furthermore, to make a model close to the real world situations, two types of commonly used payment models are considered. We present a mathematical model for the given problem and solve it by the Lingo 8 software. In addition, we use the nondominated sorting genetic algorithm II (NSGA-II) in order to solve the proposed model. Finally, the computational results for a set of test problems taken from the project scheduling problem library (PSPLIB) are presented and discussed.
منابع مشابه
A New Bi-Objective Model for a Multi-Mode Resource-Constrained Project Scheduling Problem with Discounted Cash Flows and four Payment Models
The aim of a multi-mode resource-constrained project scheduling problem (MRCPSP) is to assign resource(s) with the restricted capacity to an execution mode of activities by considering relationship constraints, to achieve pre-determined objective(s). These goals vary with managers or decision makers of any organization who should determine suitable objective(s) considering organization strategi...
متن کاملOptimizing a bi-objective preemptive multi-mode resource constrained project scheduling problem: NSGA-II and MOICA algorithms
The aim of a multi-mode resource-constrained project scheduling problem (MRCPSP) is to assign resource(s) with the restricted capacity to an execution mode of activities by considering relationship constraints, to achieve pre-determined objective(s). These goals vary with managers or decision makers of any organization who should determine suitable objective(s) considering organization strategi...
متن کاملA multi-objective resource-constrained project scheduling problem with time lags and fuzzy activity durations
The resource-constrained project scheduling problem is to find a schedule that minimizes the project duration subject to precedence relations and resource constraints. To further account for economic aspects of the project, one may add an objective of cash nature to the problem. In addition, dynamic nature and variations in real world are known to introduce uncertainties into data. Therefore, t...
متن کاملA Bi-objective Pre-emption Multi-mode Resource Constrained Project Scheduling Problem with due Dates in the Activities
In this paper, a novel mathematical model for a preemption multi-mode multi-objective resource-constrained project scheduling problem with distinct due dates and positive and negative cash flows is presented. Although optimization of bi-objective problems with due dates is an essential feature of real projects, little effort has been made in studying the P-MMRCPSP while due dates are included i...
متن کاملAn Efficient Genetic Agorithm for Solving the Multi-Mode Resource-Constrained Project Scheduling Problem Based on Random Key Representation
In this paper, a new genetic algorithm (GA) is presented for solving the multi-mode resource-constrained project scheduling problem (MRCPSP) with minimization of project makespan as the objective subject to resource and precedence constraints. A random key and the related mode list (ML) representation scheme are used as encoding schemes and the multi-mode serial schedule generation scheme (MSSG...
متن کاملA multi-objective resource-constrained optimization of time-cost trade-off problems in scheduling project
This paper presents a multi-objective resource-constrained project scheduling problem with positive and negative cash flows. The net present value (NPV) maximization and making span minimization are this study objectives. And since this problem is considered as complex optimization in NP-Hard context, we present a mathematical model for the given problem and solve three evolutionary algorithms;...
متن کامل