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

Most evaluations of ecological effects of petroleum contamination have related impacts to effects on the supply of products and services of importance to human cultures. In order to facilitate the decision making process in the event of crude oil spills into marine environments, this paper treats marine oil spill problem from a system-theoretic point of view using the state variable description of Markovian decision process and operational research formalism.

[1]  Jose M. Redondo,et al.  Self-similar distribution of oil spills in European coastal waters , 2009 .

[2]  W. Fleming,et al.  Deterministic and Stochastic Optimal Control , 1975 .

[3]  Nezih Altay,et al.  OR/MS research in disaster operations management , 2006, Eur. J. Oper. Res..

[4]  null null,et al.  State-of-the-Art Review of Modeling Transport and Fate of Oil Spills , 1996 .

[5]  D. S. Etkin,et al.  Estimating Cleanup Costs for Oil Spills , 1999 .

[6]  Dagmar Schmidt Etkin.  Presented at: Arctic and Marine Oilspill Program Technical Seminar (June 2000) Worldwide Analysis of Marine Oil Spill Cleanup Cost Factors , 2000 .

[7]  B. Anderson,et al.  Linear Optimal Control , 1971 .

[8]  Shuning Wang,et al.  Computerized support systems for emergency decision making , 1994, Ann. Oper. Res..

[9]  Patrick Fabiani,et al.  Extending the Bellman equation for MDPs to continuous actions and cont. time in the discounted case , 2008, ISAIM.

[10]  Pavlo Tkalich,et al.  A multiphase oil spill model , 2003 .

[11]  Solon Venâncio de Carvalho,et al.  Markov decision process applied to the control of hospital elective admissions , 2009, Artif. Intell. Medicine.

[12]  Donald E. Kirk,et al.  Optimal control theory : an introduction , 1970 .

[13]  M. K. Ghosh,et al.  Discrete-time controlled Markov processes with average cost criterion: a survey , 1993 .

[14]  Renato Mendes,et al.  Numerical modeling estimation of the spread of maritime oil spills in Ria de Aveiro lagoon , 2009 .

[15]  P. Aarne Vesilind,et al.  Environmental pollution and control , 1975 .

[16]  J. Opaluch,et al.  Measuring Damages to Marine Natural Resources from Pollution Incidents under CERCLA: Applications of an Integrated Ocean Systems/Economic Model , 1988, Marine Resource Economics.

[17]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[18]  Zhengzhu Feng,et al.  Dynamic Programming for Structured Continuous Markov Decision Problems , 2004, UAI.

[19]  G. Yohe,et al.  Risk aversion, time preference, and the social cost of carbon , 2009 .

[20]  Suresh P. Sethi.  Simultaneous Optimization of Preventive Maintenance and Replacement Policy for Machines: A Modern Control Theory Approach , 1971 .

[21]  Xun Yu Zhou,et al.  A maximum principle for stochastic optimal control with terminal state constraints, and its applications , 2006, Commun. Inf. Syst..

[22]  Anders R. Kristensen,et al.  Dynamic programming and Markov decision processes , 1996 .