Download or read book A Parallel Exact Solution Procedure for the Resource constrained Project Scheduling Problem written by Wendell Phillips Simpson and published by . This book was released on 1991 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Resource Constrained Project Scheduling written by Christian Artigues and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title presents a large variety of models and algorithms dedicated to the resource-constrained project scheduling problem (RCPSP), which aims at scheduling at minimal duration a set of activities subject to precedence constraints and limited resource availabilities. In the first part, the standard variant of RCPSP is presented and analyzed as a combinatorial optimization problem. Constraint programming and integer linear programming formulations are given. Relaxations based on these formulations and also on related scheduling problems are presented. Exact methods and heuristics are surveyed. Computational experiments, aiming at providing an empirical insight on the difficulty of the problem, are provided. The second part of the book focuses on several other variants of the RCPSP and on their solution methods. Each variant takes account of real-life characteristics which are not considered in the standard version, such as possible interruptions of activities, production and consumption of resources, cost-based approaches and uncertainty considerations. The last part presents industrial case studies where the RCPSP plays a central part. Applications are presented in various domains such as assembly shop and rolling ingots production scheduling, project management in information technology companies and instruction scheduling for VLIW processor architectures.

Download or read book Exact solution methods of project scheduling problems written by Carsten Heuring and published by GRIN Verlag. This book was released on 2006-08-27 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar paper from the year 2002 in the subject Business economics - Operations Research, grade: 1,9, http://www.uni-jena.de/ (Lehrstuhl für ABWL, insb. Betriebswirtschaftliche Entscheidungsanalyse), course: Quantitative Methoden der Projektplanung, language: English, abstract: The use of project management is continuously growing in industrial and public organizations providing an efficient instrument for mastering the challenges caused by steadily shortening product life cycles, decreasing profit margins, and global markets. One of the main tasks in project management is the scheduling of the project, that is, the temporal arrangement of activities. Resources are required to perform activities and are available with limited capacities. Therefore, within the project management the activities are to be scheduled subject to precendence and resource constraints. In practice, different types of resources may occur. Renewable resources (e.g. machines) are available at each point in time. Nonrenewable resources (e.g. money) are depleted by use. These resources only affect the scheduling of activities if activities can be carried out in alternative modes which differ, for example, in duration and amount of resources needed. To describe these scheduling problems we use mathematical models. The techniques to solve resource constrained project scheduling problems are descriebed with branch and bound methods.

Download or read book Resource Constrained Project Scheduling written by Arno Sprecher and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within a project human and non-human resources are pulled together in a tempo raray organization in order to achieve a predefined goal (d. [20], p. 187). That is, in contrast to manufacturing management, project management is directed to an end. One major function of project management is the scheduling of the project. Project scheduling is the time-based arrangement of the activities comprising the project subject to precedence-, time-and resource-constraints (d. [4], p. 170). In the 1950's the standard methods MPM (Metra Potential Method) and CPM (Cri tical Path Method) were developed. Given deterministic durations and precedence constraints the minimum project length, time windows for the start times and critical paths can be calculated. At the same time another group of researchers developed the Program Evaluation and Review Technique (PERT) (d. [19], [73] and [90]). In contrast to MPM and CPM, random variables describe the activity durations. Based on the optimistic, most likely and pessimistic estimations of the activity durations an assumed Beta distribution is derived in order to calculate the distribution of the project duration, the critical events, the distribution of earliest and latest occurence of an event, the distribution of the slack of the events and the probability of exceeding a date. By the time the estimates of the distributions have been improved (d. e.g. [52] and [56]). Nevertheless, there are some points of critique concerning the estimation of the resulting distributions and probabilities (d. e.g. [48], [49] and [50]).

Download or read book Project Scheduling written by Jan Weglarz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project scheduling problems are, generally speaking, the problems of allocating scarce resources over time to perform a given set of activities. The resources are nothing other than the arbitrary means which activities complete for. Also the activities can have a variety of interpretations. Thus, project scheduling problems appear in a large spectrum of real-world situations, and, in consequence, they have been intensively studied for almost fourty years. Almost a decade has passed since the multi-author monograph: R. Slowinski, 1. W~glarz (eds. ), Advances in Project Scheduling, Elsevier, 1989, summarizing the state-of-the-art across project scheduling problems, was published. Since then, considerable progress has been made in all directions of modelling and finding solutions to these problems. Thus, the proposal by Professor Frederick S. Hillier to edit a handbook which reports on the recent advances in the field came at an exceptionally good time and motivated me to accept the challenge. Fortunately, almost all leading experts in the field have accepted my invitation and presented their completely new advances often combined with expository surveys. Thanks to them, the handbook stands a good chance of becoming a key reference point on the current state-of-the-art in project scheduling, as well as on new directions in the area. The contents are divided into four parts. The first one, dealing with classical models -exact algorithms, is preceded by a proposition of the classification scheme for scheduling problems.

Download or read book Scheduling of Resource Constrained Projects written by Robert Klein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project management has become a widespread instrument enabling organizations to efficiently master the challenges of steadily shortening product life cycles, global markets and decreasing profit margins. With projects increasing in size and complexity, their planning and control represents one of the most crucial management tasks. This is especially true for scheduling, which is concerned with establishing execution dates for the sub-activities to be performed in order to complete the project. The ability to manage projects where resources must be allocated between concurrent projects or even sub-activities of a single project requires the use of commercial project management software packages. However, the results yielded by the solution procedures included are often rather unsatisfactory. Scheduling of Resource-Constrained Projects develops more efficient procedures, which can easily be integrated into software packages by incorporated programming languages, and thus should be of great interest for practitioners as well as scientists working in the field of project management. The book is divided into two parts. In Part I, the project management process is described and the management tasks to be accomplished during project planning and control are discussed. This allows for identifying the major scheduling problems arising in the planning process, among which the resource-constrained project scheduling problem is the most important. Part II deals with efficient computer-based procedures for the resource-constrained project scheduling problem and its generalized version. Since both problems are NP-hard, the development of such procedures which yield satisfactory solutions in a reasonable amount of computation time is very challenging, and a number of new and very promising approaches are introduced. This includes heuristic procedures based on priority rules and tabu search as well as lower bound methods and branch and bound procedures which can be applied for computing optimal solutions.

Download or read book Project Scheduling under Resource Constraints written by Rainer Kolisch and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the field of resource-constrained project scheduling. State-of-the-art reviews of optimal and heuristic procedures are provided for classical project scheduling models. Furthermore, new models which are relevant for practical problem settings, are introduced. The main emphasis is on newly developed competitive heuristic methods. Contents: Introduction. - Description of the Problems.- Classification of Schedules.- Characterisation and Generation of Instances.- The Single-Mode Project Scheduling Problem.- The Multi-Mode Project Scheduling Problem.- Project Scheduling with Given Deadline.- Project Scheduling with Setup Times.- Applications to Production Management.- Concluding Remarks.- List of Notations.- List of Abbreviations.

Download or read book Multiple Resource constrained Project Scheduling written by Kwangho Park and published by . This book was released on 1990 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Resources Constrained Project Scheduling written by Christian Artigues and published by Iste Publishing Company. This book was released on 2007-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title presents a large variety of models and algorithms dedicated to the resource-constrained project scheduling problem (RCPSP), which aims at scheduling at minimal duration a set of activities subject to precedence constraints and limited resource availabilities. In the first part, the standard variant of RCPSP is presented and analyzed as a combinatorial optimization problem. Constraint programming and integer linear programming formulations are given. Relaxations based on these formulations and also on related scheduling problems are presented. Exact methods and heuristics are surveyed. Computational experiments, aiming at providing an empirical insight on the difficulty of the problem, are provided. The second part of the book focuses on several other variants of the RCPSP and on their solution methods. Each variant takes account of real-life characteristics which are not considered in the standard version, such as possible interruptions of activities, production and consumption of resources, cost-based approaches and uncertainty considerations. The last part presents industrial case studies where the RCPSP plays a central part. rolling ingots production scheduling, project management in information technology companies and instruction scheduling for VLIW processor architectures.

Download or read book An Optimal Algorithm for the Resource Constrained Project Scheduling Problem written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1975 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report presents an algorithm for solving a form of the resource constrained project scheduling problem. This particular form of the problem differs from that usually considered in that the time needed to complete a job depends on the amount of resources applied to that job. Jobs are preemptable and the objective is to minimize the project duration. It is shown that this problem is equivalent to the problem of finding that transportation polytope, defined by the resource constraints, of minimal dimension which has a face specified by the precedence constraints. A theorem is presented which gives conditions under which a face of a specified type exists. Using this theorem, the problem transforms into an integer programming problem with variables representing the completion times for each job. The constraint set is defined by inequalities involving addition and maximum operations on the variables and, without the constraint that the variables be integer, the constraint set forms a nonconvex, polyhedral set.

Download or read book Project Scheduling under Limited Resources written by Sönke Hartmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approaches to project scheduling under resource constraints are discussed in this book. After an overview of different models, it deals with exact and heuristic scheduling algorithms. The focus is on the development of new algorithms. Computational experiments demonstrate the efficiency of the new heuristics. Finally, it is shown how the models and methods discussed here can be applied to projects in research and development as well as market research.

Download or read book Essays and Surveys in Metaheuristics written by Celso C. Ribeiro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finding exact solutions to many combinatorial optimization problems in busi ness, engineering, and science still poses a real challenge, despite the impact of recent advances in mathematical programming and computer technology. New fields of applications, such as computational biology, electronic commerce, and supply chain management, bring new challenges and needs for algorithms and optimization techniques. Metaheuristics are master procedures that guide and modify the operations of subordinate heuristics, to produce improved approx imate solutions to hard optimization problems with respect to more simple algorithms. They also provide fast and robust tools, producing high-quality solutions in reasonable computation times. The field of metaheuristics has been fast evolving in recent years. Tech niques such as simulated annealing, tabu search, genetic algorithms, scatter search, greedy randomized adaptive search, variable neighborhood search, ant systems, and their hybrids are currently among the most efficient and robust optimization strategies to find high-quality solutions to many real-life optimiza tion problems. A very large nmnber of successful applications of metaheuristics are reported in the literature and spread throughout many books, journals, and conference proceedings. A series of international conferences entirely devoted to the theory, applications, and computational developments in metaheuristics has been attracting an increasing number of participants, from universities and the industry.

Download or read book Machine Scheduling Problems written by A.H.G. Rinnooy Kan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction.- 2. Problem Formulation.- 2.1. Notations and representations.- 2.2. Restrictive assumptions.- 2.3. Optimality criteria.- 2.3.1. Regular measures.- 2.3.1.1. Criteria based on completion times.- 2.3.1.2. Criteria based on due dates.- 2.3.1.3. Criteria based on inventory cost and utilization.- 2.3.2. Relations between criteria.- 2.3.3. Analysis of scheduling costs.- 2.4. Classification of problems.- 3. Methods of Solution.- 3.1. Complete enumeration.- 3.2. Combinatorial analysis.- 3.3. Mixed integer and non-linear programming.- 3.3.1. [Bowman 1959].- 3.3.2. [Pritsker et al. 1969].

Download or read book An Exact Bidirectional Approach to the Resource Constrained Project Scheduling Problem written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this research is to develop a new approach to the Resource Constrained Project Scheduling Problem. Traditionally, most exact approaches to solve the problem have been either Integer Programming approaches or Branch and Bound (BaB) ones. Of the two, BaB procedures have proven to be the more successful computationally. But, while it is quite intuitive to conceive that the root node of a BaB search tree should be the start activity, it is no less conceivable that it be the terminal activity. Indeed, it is conceivable that the search starts from both ends and concludes somewhere in the middle of the ensuing trees. Unfortunately, BaB as a methodology is not amenable to deriving a termination criterion for such a procedure which guarantees optimality. To a large extent, this research can be seen as an attempt at accomplishing just that. We start with a comprehensive review of the literature related to the problem. We present a new Integer Programming model to describe it together with a 'look-ahead' heuristic procedure which may be used along with it. The main advantage of this procedure is its ability to reflect planning over the short horizon in anticipation of changes to the project in the more future. Our chief contribution is in the third part of this study which sets up the problem as a Shortest Path Problem in two `state networks', forward and reverse, where the nodes reflect the precedence feasibility or partial completion of the activities of the project. We develop the conceptual tools to construct the networks and to properly detect a `path' between their sources from which a makespan optimal schedule could be derived. The theoretical constructs ultimately result in algorithms that solve the problem proceeding forward, in reverse, or bidirectionally. These algorithms have been tested on the J30 benchmark data set of Kolisch, Sprecher and Drexl (1995). Computational results show important advantages of the bidirectional approach but also point out sig.

Download or read book Solving Resource constrained Shceuling Problems with Exact Methods written by Jordi Coll Caballero and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Scheduling problems mainly consist in finding an assignment of execution times (a schedule) to a set of activities of a project that optimizes an objective function. There are many constraints imposed over the activities that any schedule must satisfy. The most usual constraints establish precedence relations between activities, or limit the amount of some resources that the activities can consume. There are many scheduling problems in the literature that have been and are currently still being studied. A paradigmatic example is the Resource-Constraint Project Scheduling Problem (RCPSP). It consists in finding a start time for each one of the activities of a project, respecting pre-defined precedence relations between activities and without exceeding the capacity of a set of resources that the activities consume. The goal is to find a schedule with the minimum makespan (total execution time of the project). The RCPSP has many generalizations, one of which is the Multimode Resource-Constrained Project Scheduling Problem (MRCPSP). In this variation, each activity has several available execution modes that differ in the duration of the activity or the demand of resources. A solution for the MRCPSP determines the start times of the activities and also an execution mode for each one. These problems are NP-hard, and are known in the literature to be especially hard, with moderately small instances of 50 activities that are still open. There are many approaches to solving RCPSP and MRCPSP in the literature. They are often tackled with metaheuristics due to their high complexity, but there are also some exact approaches, including Mixed Integer Linear Programming (MILP), Branch-and-Bound algorithms or Boolean Satisfiability (SAT), which have shown to be competitive and in many cases even better than metaheuristics. One of the exact methods that is growing in use in the field of constrained optimization is SAT Modulo Theories (SMT). This thesis is the continuation of previous works carried out in the Logic and Programming (L ∧ P) group of Universitat de Girona, which used SMT to tackle RCPSP and MRCPSP. Excluding these, there have not been any other attempts to use SMT to solve the MRCPSP. SMT solvers (like other generic methods such as SAT or MILP) do not know which is the problem they are dealing with. It is the work of the modeler to provide a representation of the problem (i.e. an encoding) in the language that the solver admits. The main goal of this thesis is to use SMT to solve the Multimode Resource-Constraint Project Scheduling Problem. We focus on two already existing encodings for the MRCPSP, namely the time encoding and the task encoding. We use some existing preprocessing methods that contribute to the formulation of time and task, and present new preprocessings. Most of them are based on the idea of incompatibility between two activities, i.e., the impossibility that two activities run at the same time instant. These incompatibilities let us discharge some con- figurations of the solutions prior to encode the problem. Consequently, the use of preprocessings helps to reduce the size of the encodings in terms of variables and clauses. Another contribution of this work is the study of the time and task encodings and the differences that they present. We refine these encodings to provide more compact versions. Moreover, two new versions of these encodings are presented, which mainly differ in the codification of the constraints over the use of resources. One of them is based on Linear Integer Arithmetic expressions, and the other one in Pseudo-Boolean constraints and Integer Difference Logic. Another contribution of this work is the presentation of an ad-hoc optimization algorithm based on a linear search that mainly consists in three steps. First of all it simplifies the problem to efficiently ensure or discharge the feasibility of the instance, then it finds a first non-optimal solution by using a quick heuristic method, and finally it optimizes the problem making use of the knowledge acquired with the preprocessings to boost the search. We also present an initial work on a more intrusive approach consisting in modifying the internal heuristic of the SMT solver for the decision of literals. This work involves the study of a state-of-the-art implementation of an SMT solver, and its modification to include a framework to specify heuristics related with the encoding of the problem. We give some initial results on custom heuristics for the time and task encodings of the MRCPSP. Finally, we test our system with the benchmark sets of instances for the MRCPSP available in the literature, and compare our performance with a state-of-the-art exact solver for the MRCPSP. The results show that we are able to solve the major part of the benchmark sets. Moreover, we show to be competitive with the state-of-the-art solver of Vílim et. al. for the MRCPSP, being our system slower in solving the easiest benchmark instances, but outperforming the solver of Vílim et. al. in solving the hardest instances.

Download or read book Experimental Evaluation of Five Approaches to Resource constrained Project Scheduling written by Jerry Lee Levesque and published by . This book was released on 1976 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scheduling Parallel Project Networks with Constrained Resources written by Elliott N. Weiss and published by . This book was released on 1985 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: