This paper addresses the multi-mode multi-skilled resource-constrained project scheduling problem. Activities of real world projects often require more than one skill to be accomplished. Besides, in many real-world situations, the resources are multi-skilled workforces. In presence of multi-skilled resources, it is required to determine the combination of workforces assigned to each activity. H...

This paper presents an exact model for the resource investment problem with generalized precedence relations in which the minimum or maximum time lags between a pair of activities may vary depending on the chosen modes. All resources considered are renewable. The objective is to determine a mode and a start time for each activity so that all constraints are obeyed and the resource investment co...

The problem that we address in this chapter is an extension of the Resource-Constrained Project Scheduling Problem (RCPSP). It belongs to the class of project scheduling problems with multilevel (or multi-mode) activities, that permit an activity to be processed by resources operating at appropriate modes, where each mode belongs to a different resource level and incurs different cost and durat...

The multimode resource-constrained project scheduling problem (MRCPSP) is an extension of the single-mode resourceconstrained project scheduling problem (RCPSP). In this problem, each project contains a number of activities which precedence relationship exist between them besides their amount of resource requirements to renewable and non-renewable resources are limited to the resources availabi...

We consider the multi-mode resource-constrained project scheduling problem (MRCPSP) with renewable resources. In MRCPSP, an activity can be executed in one of many possible modes; each mode having different resource requirements and accordingly different activity durations. We assume that all resources are renewable from period to period, such as labor and machines. A solution to this problem b...

In this paper, the multi-mode resource constrained project scheduling problem with discounted cash flows is considered. The objective is the maximization of the net present value of all cash flows. Time value of money is taken into consideration, and cash inand outflows are associated with activities and/or events. The resources can be of renewable, nonrenewable, and doubly constrained resource...

In this paper we use genetic algorithms (GA) to deal with the ResourceConstrained Project Scheduling Problem (RCPSP ). We introduce a priority value encoding (representation) to implement the GA for RCPSP . First, we follow up the approach of Alcaraz and Maroto [1] to introduce an additional component in the encoding to indicate the scheduling mode (forward or backward) used to generate the cor...

Decision making supported by task-oriented software tools plays a pivotal role in modern enterprises; the commercially available ERP (Enterprise Resource Planning) systems are not able to respond in an interactive on-line/real-time mode. A new generation of DSS (Decision Support System) that enable a fast prototyping of constrained search problems (e.g. layout planning, production routing, batc...

In the multi-mode resource-constrained multi-project scheduling (MMRCMPSP) problem we have to find execution modes and starting times for the jobs of multiple projects, such that the total project delay is minimized. The delay of a project is the difference between its makespan and a lower bound on its duration. A secondary objective is to minimize the total makespan of all projects. The jobs o...

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...