In this paper we make a comparative study of several mixed integer linear programming (MILP) formulations for resource-constrained project scheduling problems (RCPSPs). First, we present three discrete and continuous time MILP formulations issued from the literature. Second, instead of relying on the traditional discretization of the time horizon, we propose MILP formulations for the RCPSP base...

As the resource constrained project scheduling problem (RCPSP) has a wide range of applications, its models, extensions and algorithms have been intensively studied [2]. As for objective functions, makespan minimization has commonly been used, while the importance of non-regular ones such as earliness-tardiness are also recognized. In this paper, we introduce a time-lag cost, which is charged a...

In this paper, we extend and integrate previously reported techniques for resource constrained scheduling to develop a CSP procedure for solving RCPSP/max, the resource constrained project scheduling problem with time windows (generalized precedence relations between start time of activities). RCPSP/max is a well-studied problem within the Operations Research community and the presence of a lar...

Resource Constrained Project Scheduling Problems (RCPSP), especially their stochastic variants, and the methods operating on them represent a general project scheduling optimization framework. This paper presents the survey of methods and models that are put into the historical context and are categorized according to their working principles. It aims to supplement and update existing RCPSP sur...

The multi-mode resource-constrained project scheduling problem (MM RCPSP) is an NP-hard problem representing a generalization of the well-studied RCPSP. Depth-first tree search approach by Sprecher & Drexl (1998) is the best-known exact solution tree search procedure for this problem. In this paper we modify an existing breadth-first algorithm for multiple processors. It is a computer-cluster i...

Uncertainty in activity durations is a key characteristic of many real world scheduling problems in manufacturing, logistics and project management. RCPSP/max with durational uncertainty is a general model that can be used to represent durational uncertainty in a wide variety of scheduling problems where there exist resource constraints. However, computing schedules or execution strategies for ...

The resource-constrained project scheduling problem (RCPSP) consists of activities that must be scheduled subject to precedence and resource constraints such that the makespan is minimized. It has become a well-known standard problem in the context of project scheduling which has attracted numerous researchers who developed both exact and heuristic scheduling procedures. However, it is a rather...

Resource Constrained Project Scheduling Problem (RCPSP) is the most general scheduling problem. Job shop scheduling, flow shop scheduling and other scheduling problems are the subsets of RCPSP. The present paper examines the multimode multi-objective resource constrained project scheduling problem (RCPSP) with partial precedence relations. To enhance the practical aspects of this prominent prob...

resource constraints project scheduling problem (rspsp) seeks proper sequence of implementation of project activities in a way that the precedence relations and different type of resource constraints are met concurrently. rcpsp tends to optimize some measurement function as make-span, cost of implementation, number of tardy tasks and etc. as rcpsp is assumed as an np-hard problem so, different ...