Contents
What is resource constrained project planning?
Abstract. The Resource Constrained Project Scheduling Problem (RCPSP) is the sub-class of the Scheduling Problem that deals with scenarios where personnel or workforce employed to perform the tasks are limited and each job has an arrival time, a due date, and a penalty associated to delays.
What is it called when a resource is a constraint?
The resource constraint definition refers to the limitations of inputs available to complete a particular job: primarily people time, equipment and supplies. In this situation, if you accept no more work than you can handle per week, your time constraints and resource constraints will always remain in balance.
How are integrality constraints used in MIP programming?
The integrality constraints allow MIP models to capture the discrete nature of some decisions. For example, a variable whose values are restricted to 0 or 1, called a binary variable, can be used to decide whether or not some action is taken, such as building a warehouse or purchasing a new machine.
Which is the default variable type in MIP?
Line 41 creates an empty MIP model. In line 44 all binary decision variables for the selection of arcs are created and their references are stored a n × n matrix named x. Differently from the x variables, y variables (line 48) are not required to be binary or integral, they can be declared just as continuous variables, the default variable type.
Which is an example of a solution in MIP?
More formally, considering n points V = { 0, …, n − 1 } and a distance matrix D n × n with elements c i, j ∈ R +, a solution consists in a set of exactly n (origin, destination) pairs indicating the itinerary of your trip, resulting in the following formulation:
What is the resource constrained project scheduling problem?
The Resource-Constrained Project Scheduling Problem (RCPSP) is a combinatorial optimization problem that consists of finding a feasible scheduling for a set of n jobs subject to resource and precedence constraints. Each job has a processing time, a set of successors jobs and a required amount of different resources.