Application of Finite Dynamic Programming to Decision Making in the Use of Industrial Residual Water Treatment Plants
This paper presents the application of finite dynamic
programming, specifically the "Markov Chain" model, as part of the
decision making process of a company in the cosmetics sector located
in the vicinity of Bogota DC. The objective of this process was to
decide whether the company should completely reconstruct its
wastewater treatment plant or instead optimize the plant through the
addition of equipment. The goal of both of these options was to make
the required improvements in order to comply with parameters
established by national legislation regarding the treatment of waste
before it is released into the environment. This technique will allow
the company to select the best option and implement a solution for
the processing of waste to minimize environmental damage and the
acquisition and implementation costs.
[1] L. Garcés; E. Mejía; J. Santamaría. "La fotocatálisis como alternativa
para el tratamiento de aguas residuals” Revista Lasallista de
investigación – Vol. 1. N° 1. Pág. 83
[2] E. Idelovitch, y K. Ringskog, "Directions in Development: Wastewater
Treatment in Latin America, Old & New Options”, World Bank,
Washington, D.C., August 1997.
[3] C. Ramos. "Los residuos en la industria farmacéutica”. Revista CENIC
Ciencias Biológicas,2006,Vol.37, No.1
[4] R. Feachem; D. Mara, y M.G. Mc Garry. Water. "Wastes and Health in
Hot Climates”. Nueva York: John Wiley and Sons.1977.
[5] R. Palange y A. Zavala. "Water Pollution Control: Guidelines for
Project Planning and Financing”. Trabajo Técnico Técnica No.73 del
Banco Mundial.1987.
[6] G. Apfel. "Pollution control and abatement in the cosmetic industry”.
CTFA Cosmetic Journal 4(1),28-32,1972.
[7] S. Mendonca. "Lagunas de estabilización”. Organización Panamericana
de la Salud. Bogotá,Colombia.1999.
[8] M. Rigolala Peña. " Tratamiento de aguas industriales: aguas de proceso
y residuals”. México. Alfaomega Grupo Editor, 1999.
[9] U. Ritter. "Environmental pollution aspects at plants for cosmetics
production”. 1989. Seifen, Oele, Fette, Wachse115(11/12), 383-386.
[10] C. Ocampo-Martínez. "Model predictive control of waste water
systems”. 2010. Springer
[11] F. Berné., J. Cordonnier. "Industrial water treatment”. Institut Francais
du petrole publications. 1999
[12] C. A. Sastrya, S. Sundaramoorthy. " Industrial use of freshwater is-a-vis
reclaimed municipal wastewater in Madras, India" . 1996. Elsevier
Science.
[13] W. Eckenfelder. " Industrial water pollution control" . 2000. McGraw
Hill. USA.
[14] G. Fair.; J .Geyer, y D. Okun. "Water and Wastewater Engineering”. 2
Volúmenes. 1966, Nueva York: John Wiley and Sons.
[15] A. Rodríguez. "Tratamientos avanzados de aguas residuales industrials”.
Universidad de Alcalá Del Círculo de Innovación en Tecnologías
Medioambientales y Energía (CITME), 2006.
[16] C. Jagdish.; R. Arya. Y W. Lardner. "Matemáticas Aplicadas a la
Administración y a la Economía”. Pearson Education, México, 2002.
[17] F. Comets, R. Fernandez y P. Ferrari. " Processes with Long Memory:
Regenerative Construction and Perfect Simulation”, Ann. Appl. Probab.
vol. 123:921-943, 2002.
[18] S. Ross. "Stochastics Processes”. Wiley Series in Probability and
Mathematical Statistics: Probability and Mathematical Stat.2002.
[19] P. Ferrari y A. Galvez. " Coupling and Regeneration for stochastic
processes”. Notes for a mini course presented in XIII Escuela
Venezolana de Matemáticas,2000.
[20] W. Prawda. "Métodos y modelos de investigación de operaciones”.
México. Editorial Limusa, 1999.
[21] A. Markov. "Extension of the limit theorems of probability theory to a
sum of variables connected in a chain". Reprinted in Appendix B of: R.
Howard. Dynamic Probabilistic Systems, volume1: Markov Chains.
John Wiley and Sons, 1971.
[22] M. Puterman. "Markov decision processes, discret stochastic dynamic
programming”. 2005. Wiley-Interscience Inc.
[23] W. Wayne. "Investigación de operaciones”. 4a Edición. México.
International Thomson Editores, 2005.
[24] A. Kistensen. " Dynamic programming and Markov decision
processes”. 1996. Textbook notes of herd management.
[25] G. Kalani. "Industrial process control: advances and application”. 2002,
Elsevier Science (USA).
[26] F. Sonnenberg., J R. Beck. "Markov models in medical decision
making”. Med Decis Making1993;13:322–38.
[27] A. Briggs. M. Sculpher. " An introduction to Markov modelling for
economic evaluation”. Pharmacy Economics1998.13:397–409
[28] D. Abler y S.Harris. "Meta-modelling Markov model simulations for
cost effectiveness analyses”. Poster presentation at ICTR-PHE, 2012.
Radiother Oncol
[29] H. Leff, M. Dada y S. Graves, "An LP planning model for a mental
health community support system.” Management Science, 1986, 32, no.
2, 139-155.
[30] Z. Yan, G. Augenbroe y V. Brani. "Uncertainty Analysis in Using
Markov Chain Model to Predict Roof Life Cycle Performance”. 2005
International Conference on Durability of Building Materials and
Components LYON (France) 17-20.
[1] L. Garcés; E. Mejía; J. Santamaría. "La fotocatálisis como alternativa
para el tratamiento de aguas residuals” Revista Lasallista de
investigación – Vol. 1. N° 1. Pág. 83
[2] E. Idelovitch, y K. Ringskog, "Directions in Development: Wastewater
Treatment in Latin America, Old & New Options”, World Bank,
Washington, D.C., August 1997.
[3] C. Ramos. "Los residuos en la industria farmacéutica”. Revista CENIC
Ciencias Biológicas,2006,Vol.37, No.1
[4] R. Feachem; D. Mara, y M.G. Mc Garry. Water. "Wastes and Health in
Hot Climates”. Nueva York: John Wiley and Sons.1977.
[5] R. Palange y A. Zavala. "Water Pollution Control: Guidelines for
Project Planning and Financing”. Trabajo Técnico Técnica No.73 del
Banco Mundial.1987.
[6] G. Apfel. "Pollution control and abatement in the cosmetic industry”.
CTFA Cosmetic Journal 4(1),28-32,1972.
[7] S. Mendonca. "Lagunas de estabilización”. Organización Panamericana
de la Salud. Bogotá,Colombia.1999.
[8] M. Rigolala Peña. " Tratamiento de aguas industriales: aguas de proceso
y residuals”. México. Alfaomega Grupo Editor, 1999.
[9] U. Ritter. "Environmental pollution aspects at plants for cosmetics
production”. 1989. Seifen, Oele, Fette, Wachse115(11/12), 383-386.
[10] C. Ocampo-Martínez. "Model predictive control of waste water
systems”. 2010. Springer
[11] F. Berné., J. Cordonnier. "Industrial water treatment”. Institut Francais
du petrole publications. 1999
[12] C. A. Sastrya, S. Sundaramoorthy. " Industrial use of freshwater is-a-vis
reclaimed municipal wastewater in Madras, India" . 1996. Elsevier
Science.
[13] W. Eckenfelder. " Industrial water pollution control" . 2000. McGraw
Hill. USA.
[14] G. Fair.; J .Geyer, y D. Okun. "Water and Wastewater Engineering”. 2
Volúmenes. 1966, Nueva York: John Wiley and Sons.
[15] A. Rodríguez. "Tratamientos avanzados de aguas residuales industrials”.
Universidad de Alcalá Del Círculo de Innovación en Tecnologías
Medioambientales y Energía (CITME), 2006.
[16] C. Jagdish.; R. Arya. Y W. Lardner. "Matemáticas Aplicadas a la
Administración y a la Economía”. Pearson Education, México, 2002.
[17] F. Comets, R. Fernandez y P. Ferrari. " Processes with Long Memory:
Regenerative Construction and Perfect Simulation”, Ann. Appl. Probab.
vol. 123:921-943, 2002.
[18] S. Ross. "Stochastics Processes”. Wiley Series in Probability and
Mathematical Statistics: Probability and Mathematical Stat.2002.
[19] P. Ferrari y A. Galvez. " Coupling and Regeneration for stochastic
processes”. Notes for a mini course presented in XIII Escuela
Venezolana de Matemáticas,2000.
[20] W. Prawda. "Métodos y modelos de investigación de operaciones”.
México. Editorial Limusa, 1999.
[21] A. Markov. "Extension of the limit theorems of probability theory to a
sum of variables connected in a chain". Reprinted in Appendix B of: R.
Howard. Dynamic Probabilistic Systems, volume1: Markov Chains.
John Wiley and Sons, 1971.
[22] M. Puterman. "Markov decision processes, discret stochastic dynamic
programming”. 2005. Wiley-Interscience Inc.
[23] W. Wayne. "Investigación de operaciones”. 4a Edición. México.
International Thomson Editores, 2005.
[24] A. Kistensen. " Dynamic programming and Markov decision
processes”. 1996. Textbook notes of herd management.
[25] G. Kalani. "Industrial process control: advances and application”. 2002,
Elsevier Science (USA).
[26] F. Sonnenberg., J R. Beck. "Markov models in medical decision
making”. Med Decis Making1993;13:322–38.
[27] A. Briggs. M. Sculpher. " An introduction to Markov modelling for
economic evaluation”. Pharmacy Economics1998.13:397–409
[28] D. Abler y S.Harris. "Meta-modelling Markov model simulations for
cost effectiveness analyses”. Poster presentation at ICTR-PHE, 2012.
Radiother Oncol
[29] H. Leff, M. Dada y S. Graves, "An LP planning model for a mental
health community support system.” Management Science, 1986, 32, no.
2, 139-155.
[30] Z. Yan, G. Augenbroe y V. Brani. "Uncertainty Analysis in Using
Markov Chain Model to Predict Roof Life Cycle Performance”. 2005
International Conference on Durability of Building Materials and
Components LYON (France) 17-20.
@article{"International Journal of Earth, Energy and Environmental Sciences:68041", author = "Oscar Vega Camacho and Andrea Vargas Guevara and Ellery Rowina Ariza", title = "Application of Finite Dynamic Programming to Decision Making in the Use of Industrial Residual Water Treatment Plants", abstract = "This paper presents the application of finite dynamic
programming, specifically the "Markov Chain" model, as part of the
decision making process of a company in the cosmetics sector located
in the vicinity of Bogota DC. The objective of this process was to
decide whether the company should completely reconstruct its
wastewater treatment plant or instead optimize the plant through the
addition of equipment. The goal of both of these options was to make
the required improvements in order to comply with parameters
established by national legislation regarding the treatment of waste
before it is released into the environment. This technique will allow
the company to select the best option and implement a solution for
the processing of waste to minimize environmental damage and the
acquisition and implementation costs.
", keywords = "Decision making, Markov chain, optimization,
wastewater.", volume = "8", number = "9", pages = "665-5", }
