An Algorithm for Determining Optimal Resource Allocation in Stochastic Activity Networks PDF Download
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Languages : en
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Author: Adam J Rudolph
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Languages : en
Pages : 70
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Keywords: activity networks, stochastic optimization, project scheduling, resource allocation, phase type distribution.
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Languages : en
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The purpose of this research has been to develop an optimization method that can be utilized to determine optimal resource allocations for projects in an uncertain (stochastic) environment. The project under consideration is modeled as a stochastic activity network (SAN) where the workload requirements for each activity are assumed to be random with some specified distribution. Our concern is the time/cost tradeoff problem where the project manager can affect the duration of each activity in the project by allocating more or less of a scarce resource to the competing activities (at some cost). The objective is therefore to minimize the total expected cost of the project by assigning the resource to the various activities while simultaneously respecting precedence relationships among the activities and constraints on the total resource available. In particular we would like to analyze stochastic projects of reasonable size (>100 activities) and provide an optimization tool that achieves results in sufficiently small amount of time to make its application practical for realistic project management scenarios.
Author: Clayton David Morgan
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Languages : en
Pages : 80
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Keywords: project planning, stochastic activity networks, sample-path optimization, optimal resource allocation, time-cost trade-off.
Author: P. Simin Pulat
Publisher: Springer Science & Business Media
ISBN: 1461490561
Category : Business & Economics
Languages : en
Pages : 419
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From the Preface: This festschrift is devoted to recognize the career of a man who not only witnessed the growth of operations research from its inception, but also contributed significantly to this growth. Dr. Salah E. Elmaghraby received his doctorate degree from Cornell University in 1958, and since then, his scholarly contributions have enriched the fields of production planning and scheduling and project scheduling. This collection of papers is contributed in his honor by his students, colleagues, and acquaintances. It offers a tribute to the inspiration received from his work, and from his guidance and advice over the years, and recognizes the legacy of his many contributions. Dr. Elmaghraby is a pioneer in the area of project scheduling (in particular, project planning and control through network models, for which he coined the term ‘activity networks’.) In his initial work in this area, he developed an algebra based on signal flow graphs and semi-Markov processes for analyzing generalized activity networks involving activities with probabilistic durations. This work led to the development of what was later known as the Graphical Evaluation and Review Technique (GERT), and GERT simulation models. He has made fundamental contributions in determining criticality indices for activities, in developing methodologies for project compression and time/cost analysis, and in the use of stochastic and chance-constrained programming and Petri Nets for the analysis of activity networks. This volume brings together fourteen contributions, which can be viewed under the following three main themes: operations research and its application in production planning; project scheduling, and production scheduling, inspired by, and in many cases based on, Dr. Elmaghraby’s work in these areas. The first five chapters are devoted to the first theme, followed by four chapters each devoted to the other two, respectively. An additional chapter is devoted to the vulnerability of multimodal freight systems.
Author: Nan Hu
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Languages : en
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Support for intelligent and autonomous resource management is one of the key factors to the success of modern sensor network systems. The limited resources, such as exhaustible battery life, moderate processing ability and finite bandwidth, restrict the systems ability to simultaneously accommodate all missions that are submitted by users. In order to achieve the optimal profit in such dynamic conditions, the value of each mission, quantified by its demand on resources and achievable profit, need to be properly evaluated in different situations.In practice, uncertainties may exist in the entire execution of a mission, thus should not be ignored. For a single mission, uncertainty, such as unreliable wireless medium and variable quality of sensor outputs, both demands and profits of the mission may not be deterministic and may be hard to predict precisely. Moreover,throughout the process of execution, each mission may experience multiple states, the transitions between which may be affected by different conditions. Even if the current state of a mission is identified, because multiple potential transitions may occur each leading to different consequences, the subsequent state cannot be confirmed until the transition actually occurs. In systems with multiple missions, each with uncertainties, a more complicated circumstance arises, in which the strategy for resource allocation among missions needs to be modified adaptively and dynamically based on both the present status and potential evolution of all missions.In our research, we take into account several levels of uncertainties that may be faced when allocating limited resources in dynamic environments as described above, where the concepts of missions that require resources may be matched to those as in certain network applications. Our algorithms calculate resource allocation solutions to corresponding scenarios and always aim to achieve high profit, as well as other performance improvements (e.g., resource utilization rate, mission preemption rate, etc.).Given a fixed set of missions, we consider both demands and profits as random variables, whose values follow certain distributions and may change over time. Since the profit is not constant, rather than achieving a specific maximized profit, our objective is to select the optimal set of missions so as to maximize a certain percentile of their combined profit, while constraining the probability of resource capacity violation within an acceptable threshold. Note that, in this scenario, the selection of missions is final and will not change after the decision has been made. Therefore, this static solution only fits in the applications with long-term running missions.For the scenarios with both long-term and short-term missions, to increase the total achieved profit, instead of selecting a fixed mission set, we propose a dynamic strategy which tunes mission selections adaptively to the changing environments. We take a surveillance application as an example, where missions are targetingspecific sets of events, and both demands and profits of a mission depend on which event is actually occurring. To some extent resources should be focused on those high-valued events with a high probability of occurring; on the other hand, resources should also be distributed to gain an understanding of the overall condition of the environment. We develop Self-Adaptive Resource Allocation algorithm (SARA) to model mission execution as Markov processes, in which the states are decided by the combination of occurring events. In this case, resources need to be allocated before the events actually occur, otherwise, the mission will miss the event due to lack of support. Therefore, a prediction as to which events are about to occur is necessary, and when the prediction fails, in exchange of the loss of profit, the mistakenly allocated resources collect information to assist prediction in the future.When the transitions between mission states can be controlled by taking certain maneuvers at the proper time, the probability of the cases when missions transit to lower profit states may be decreased. As a consequence, sometimes a loss of profit may be avoided. We model this problem as a Semi-Markov Decision Process, andpropose Action-Drive Operation Model With Evaluation of Risk and Executability (ADOM-ERE) to calculate optimal maneuvers. One challenge is that the state transitions can be affected not only by states and actions, but also by external risks and competition for resources. On one hand, external risks (e.g., a DoS attack) may change the existing transition probabilities between states; on the other hand, taking actions to avoid lower profit states may require special constrained resources.As a result, sometimes lower profit missions may not choose its optimal action because of resource exhaustion. ADOM-ERE considers all of states, actions, risks and competition when searching for the optimal allocation solution, and is available for both scenarios in which resources for actions are managed either centralized or managed in a distributed way.Numerical simulation are performed for all algorithms, and the results are compared with several competitive works to show that our solutions are better in terms of higher profit achieved in corresponding settings.
Author: Nah-Oak Song
Publisher:
ISBN:
Category :
Languages : en
Pages : 236
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Author: Prabhakar Mahadeo Ghare
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Languages : en
Pages : 168
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Author: Tarek Sobh
Publisher: Springer Science & Business Media
ISBN: 1402062680
Category : Technology & Engineering
Languages : en
Pages : 548
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This book includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Computer Science, Computer Engineering and Information Sciences. The book presents selected papers from the conference proceedings of the International Conference on Systems, Computing Sciences and Software Engineering (SCSS 2006). All aspects of the conference were managed on-line.
Author: Girish A. Ramachandra
Publisher:
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Category :
Languages : en
Pages : 79
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Keywords: activity networks, nonlinear program, integer program, phase type distribution, variance reduction, simulation-cum optimization, aggregate constraints, resource allocation.
