Rational Organization of the Sugarcane Harvest-Transport Complex with the Integration of Mathematical Models

Yanara Rodríguez-López, Yanoy Morejón-Mesa, Claudia Cruz-Arredondo, Orlando Martínez-Bao


The present investigation was carried out in the Base Business Unit “Héctor Molina Riaño”, during the sugarcane harvest corresponding to the periods 2014-2015 to 2016-2017, to determine the rational organization of the harvest-transport brigade, through the integration of mathematical models, which guarantee the stability of the system flow. The rational conformation of the harvest-transport brigade was determined using methods such as Linear Programming and Queuing Theory for a single service station and for cascade stations. When analyzing the stability of the compositions with the Markov Chain Model, the most stable variant is when the queue theory is used in cascades while working in fields of 75 t/ha, with two CASE IH 8800 Harvesters and four Tractors BELARUS 1523 + four VTX 10000 self-balancing trailers, four HOWO SINOTRUCK aggregates + two trailers and three reception centers. All that with a 53,79% probability that the cycle will not be interrupted and a system-stop cost of 33,05 peso/h , being possible to reduce the costs for stops by more than 30% and observing a marked influence when increasing the number of collection centers.


optimization; mathematical models; probability; stability; costs for stops

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BUFFA, E.S.: Operations management: problems and models, Ed. Ediciones Revolucionarias, La Habana, Cuba, 1968, ISBN: 0-471-11867-2.

CHING, W.K.; NG, K.M.: Markov Chains: Models, Algorithms and Applications, Ed. Springer US, Nueva York, USA, 2006, ISBN: 978-1-4614-6312-2.

COOPER, R.: “Introduction to Queueing Theory”, En: ACM’81 conference, 1981, Ed. Elsevier North Holland, vol. 1, New York, USA, pp. 119-122, 1981.

ESCUDERO, L.F.: Aplicaciones de la teoría de colas, Ed. Deusto., Bilbao, España, 259 p., 1972.

FONOLLOSA, G.J.B.; SALLÁN, J.M.; SUÑÉ, A.: Métodos cuantitativos de organización industrial II, Ed. Ediciones UPC, e-book ed., España, 2002, ISBN: 84-8301-794-6.

GIRALDO, F.: “Cosecha, alce y transporte”, Cenicaña, 1995, ISSN: 0120-0178.

HERMANNS, H.: “Interactive Markov Chains”, En: Interactive Markov Chains, Ed. Springer-Verlag Berlin Heidelberg, Berlin, Germany, pp. 125-146, 2002, ISBN: 978-3-540-45804-3.

IBE, O.: Markov processes for stochastic modeling, Ed. Newnes, 2013, ISBN: 0-12-407839-7.

KIJIMA, M.: Markov Processes for Stochastic Modeling, Ed. Cambridge: Chapman & Hall, 1st edición ed., Cambridge, USA, 84-122 p., 1997, ISBN: 0 412 60660 7.

KIJIMA, M.: Markov processes for stochastic modeling, Ed. Springer, USA, 2013, ISBN: 1-4899-3132-5.

KLEINROCK, L.: Queueing System, Ed. Wiley, vol. 1: Theory, New York, USA, 1975, ISBN: 0030-364.

MARTÍNEZ, L.; MATOS, R.N.; PÉREZ, de A.R.L.; MADRUGA, M.Y.: “Optimización del proceso Cosecha–Transporte–Recepción de la caña de azúcar”, Revista Cubana de Ciencias Informáticas, 5(3), 2012, ISSN: 2227-1899.

MATOS, R.N.; IGLESIAS, C.C.: “Modelo económico–matemático para la organización racional de los medios técnicos en la cosecha–transporte-recepción de la caña de azúcar”, Revista de Ciencias Técnicas Agropecuarias, 21(3): 49-54, 2012, ISSN: 1010-2760, E-ISSN: 2071-0054.

MEDHI, J.: Stochastic Models in Queueing Theory, Ed. Elsevier, Academic Press, San Diego, USA, 2002, ISBN: 0-12-487462-2.

MOREJÓN, M.Y.; IGLESIAS, C.; DOMÍNGUEZ, G.: “Evaluación de los medios de transporte utilizados en el proceso cosecha-transporte del arroz en el Complejo Agroindustrial “Los Palacios””, Revista Ciencias Técnicas Agropecuarias., 21(3): 45-48, 2012.

MOSKOWITZ, H.; WRIGHT, G.P.: Investigación de Operaciones, Ed. Prentice_Hall Hispanoamericana S.A., México, 1991, ISBN: 2218-3639.

PRAWDA, J.: Métodos y modelos de investigación de operaciones II. Modelos Estocásticos., Ed. Editorial Limusa S.A. De C.V, 1.a ed., México D. F., 1988, ISBN: 968-18-1247-6.

RODRIGUEZ, L.Y.; MOREJÓN, M.Y.; SOSA, G.D.M.; MARTÍNEZ, B.O.: “Modelación matemática del complejo cosecha-transporte de la caña de azúcar para su racionalización”, Revista de Ciencias Técnicas Agropecuarias, 24(5): 42-48, 2016, ISSN: 1010-2760, E-ISSN: 2071-0054.

SADLEIR, C.D.: “Use of the transportation method of linear programming in production planning: A case study”, Journal of the Operational Research Society, 21(4): 393-402, 1970, ISSN: 0160-5682.

SUÁREZ, P.C.; RODRÍGUEZ, H.; MÁRQUEZ, L.K.: “Determinación y análisis de los principales índices de explotación de las cosechadoras de caña CAMECO”, Revista Ciencias Técnicas Agropecuarias, 15(4): 69-73, 2006, ISSN: 1010-2760.

WOLFF, R.W.: Stochastic Models and the Theory of Queues, Ed. Prentice-Hall, Englewood Cliffs, NJ, USA, 1989, ISBN: 978-0-12-487462-6.

YESIN, K.S.; SEVOSTYANOV, A.: “Logistics of Grain Transportation: Program Exploitation for Calculation of Optimum Number of Vehicles.”, Bulletin of PNU, 32(1), 2014, ISSN: 1996-3440.


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