On optimal control theory in marine oil spill management: A Markovian decision approach

Bassey, Kufre J.; Chigbu, Polycarp E.

doi:10.1016/j.ejor.2011.09.036

Cited by 9 publications

(3 citation statements)

References 10 publications

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“…erefore, a higher degree of knowledge and function integration is required for the future development of decision support tools. In addition, there are also many decision-making practices in marine management such as dealing with oil spill contingency [17,18], fishery management planning [19][20][21][22], marine zoning decisions [23,24], and nature conservation [25][26][27]. Obviously, different decision-making tools are used, developed and integrated for marine management goals.…”

Section: Introductionmentioning

confidence: 99%

Dealing with the Social-Ecological Obstacle: Review of Decision-Making Approaches in Marine Management

Zhou

Chen

Shu

2022

Mathematical Problems in Engineering

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Occupying the same crucial position as land resources, ecological resources originate from the marine system nourish various aspects of human welfare and the world economy. It is significant to apply efficient decision-making approaches, which assist with the achievements of sustainable development and environmental protection. This paper aims to review decision-making approaches in marine management and present a comprehensive bibliometric study. To achieve this goal, bibliometric analysis is used to analyze the current status and emerging trends in this field, including the cluster network, the collaboration network, and burst detection. The results show that the number of publications in this field has increased rapidly, and it has become an increasing interdisciplinary research subject. Besides, marine conservation is the largest clusterand the USA is the most productive country in marine management research and the marine policy and NOAA are the most productive journal and institution, respectively. Furthermore, “Diversity,” “Management,” and “Population” are the most influential keywords, and “People” and “Public participation” are the emerging trends in decision-making and marine management. Our work clarifies where we are now in terms of marine management and decision-making and how do they serve each other to achieve sustainable development. More importantly, some deep insights could be given that motivate researchers to learn the connections and collaborations between natural science and social study, which is our effort to deal with the social-ecological obstacle as well.

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Section: Introductionmentioning

confidence: 99%

Dealing with the Social-Ecological Obstacle: Review of Decision-Making Approaches in Marine Management

Zhou

Chen

Shu

2022

Mathematical Problems in Engineering

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“…The Markov decision model has been proved to be a powerful and flexible tool for the description and solution of many problems which are related to the optimal maintenance of a system. For example, in the papers of Federgruen and So [6], Douer and Yechiali [5], Van Der Duyn Schouten and Vanneste [18], Chen and Feldman [4], Benyamini and Yechiali [2], Moustafa, Maksoud and Sadek [12], Grosfeld-Nir [7], Tomasevicz and Asgarpoor [17], Kurt and Kharoufeh [10,11], Piunovskiy [14], Huang and Guo [8], Zhang and Gao [20], Bassey and Chigbu [1] and Borrero and Akhavan-Tabatabaei [3], suitable Markov decision models were constructed for various maintenance models. In the present paper we modify two models (see Karamatsoukis and Kyriakidis [9], Pavitsos and Kyriakidis [13]), in which the problem of the optimal maintenance of a production-inventory system was considered.…”

Section: Introductionmentioning

confidence: 99%

Optimal Maintenance of a Production-inventory System With Continuous Repair Times and Idle Periods

2020

International Journal of Applied Mathematics and Informatics

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In this paper two similar models for the maintenance of a production-inventory system are considered. In both models, an input generating installation supplies a buffer with a raw material and a production unit pulls the raw material from the buffer. The installation in the first model and the production unit in the second model deteriorate stochastically over time and the problem of their optimal preventive maintenance is considered. In the first model, it is assumed that the installation, after the completion of its maintenance, remains idle until the buffer is evacuated, while in the second model, it is assumed that the production unit, after the completion of its maintenance, remains idle until the buffer is filled up. The preventive and corrective repair times of the installation in the first model and the preventive and corrective repair times of the production unit in the second model are continuous random variables with known probability density functions. Under a suitable cost structure, semi-Markov decision processes are considered for both models in order to find a policy that minimizes the long-run expected average cost per unit time. A great number of numerical examples provide strong evidence that, for each fixed buffer content, the average-cost optimal policy is of control-limit type in both models, i.e. it prescribes a preventive maintenance of the installation in the first model and a preventive maintenance of the production unit in the second model if and only if their degree of deterioration is greater than or equal to a critical level. Using the usual regenerative argument, the average cost of the optimal control-limit policy is computed exactly in both models. Four numerical examples are also presented in which the preventive and corrective repair times follow the Exponential, the Weibull, the Gamma and the Log-Normal distribution, respectively.

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“…The risk of crude oil spillage to the sea presents a major threat to the marine ecology compared with other sources of pollution in the oceans. Before now, it was earlier reported that oil spillage impacts negatively on wildlife and their environments in various ways, which include the alteration of the ecological conditions, and can result into alterations of the environmental physical and chemical composition, destruction of nutritional capita of the marine biomass, changes in the biological equilibrium of the habitat, and as a threat to human health [2]. The same can also be said about Nigeria, where oil spillage is a major environmental problem and its coastal zone is rated as one of the most polluted spots on the planet in the year 2006 [3].…”

Section: Introductionmentioning

confidence: 99%

Sequential Optimization Model for Marine Oil Spill Control

Bassey¹

2016

Robust Control - Theoretical Models and Case Studies

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This chapter gives credence to the introduction of optimal control theory into oil spill modeling and develops an optimization process that will aid in the effective decisionmaking in marine oil spill management. The purpose of the optimal control theory is to determine the control policy that will optimize maximize or minimize a specific performance criterion, subject to the constraints imposed by the physical nature of the problem. " fundamental theorem of the calculus of variations is applied to problems with unconstrained states and controls, whereas a consideration of the effect of control constraints leads to the application of Markovian decision processes. The optimization objectives are expressed as value function or reward to be optimized, whereas the optimization models are formulated to adequately describe the marine oil spill control, starting from the transportation process. These models consist of conservation relations needed to specify the dynamic state of the process given by the chemical compositions and movements of crude oil in water.

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On optimal control theory in marine oil spill management: A Markovian decision approach

Cited by 9 publications

References 10 publications

Dealing with the Social-Ecological Obstacle: Review of Decision-Making Approaches in Marine Management

Dealing with the Social-Ecological Obstacle: Review of Decision-Making Approaches in Marine Management

Optimal Maintenance of a Production-inventory System With Continuous Repair Times and Idle Periods

Sequential Optimization Model for Marine Oil Spill Control

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