An integrated production-logistics-crop rotation planning model for sugar beet supply chains

Abstract This paper presents an integrated strategic-tactical planning model for the sugar beet supply chain problem. The model includes the critical agricultural and industrial decisions coupled with the transportation of crops by capacitated vehicles from farms to the processing facilities. In the agricultural stage, the proposed model is used to analyze both agronomic and operational constraints for achieving a sustainable farming system through feasible strategic crop rotation plans. These plans integrate crop sequences with temporal and spatial variations while considering the known seasonal demand. The agricultural decisions involve crops planting and harvesting decisions to fulfill both fresh produce crops and processing demands. In the industrial stage, the key decisions include aggregate production plans for processing the harvested beet, as well as managing the shipping and storage of these agro-materials in the production facility. In this paper, a binary integer programming model is formulated with the objective of minimizing the overall operational cost including transportation and inventory of processed and non-processed beets. A unique time dimension was added to the planning horizon to allow crop rotation planning between different cropping seasons. A realistic case is used to test the formulated model and elaborate its complexity.

[1]  Frédérick Garcia,et al.  Models to support cropping plan and crop rotation decisions. A review , 2011, Agronomy for Sustainable Development.

[2]  Wilbert E. Wilhelm,et al.  OR/MS decision support models for the specialty crops industry: a literature review , 2011, Ann. Oper. Res..

[3]  Lana Mara Rodrigues dos Santos,et al.  Crop rotation scheduling with adjacency constraints , 2011, Ann. Oper. Res..

[4]  Valeria Borodin,et al.  Handling uncertainty in agricultural supply chain management: A state of the art , 2016, Eur. J. Oper. Res..

[5]  Dongqing Zhang,et al.  Crop rotation model for contract farming with constraints on similar profits , 2015, Comput. Electron. Agric..

[6]  William Sarache,et al.  Addressing a robust decision in the sugarcane supply chain: Introduction of a new agricultural investment project in Colombia , 2019, Comput. Electron. Agric..

[7]  Marcus Poggi de Aragão,et al.  Harvest planning in the Brazilian sugar cane industry via mixed integer programming , 2013, Eur. J. Oper. Res..

[8]  Jesus René Villalobos,et al.  A tactical model for planning the production and distribution of fresh produce , 2011, Ann. Oper. Res..

[9]  M. K. van Ittersum,et al.  ROTAT, a tool for systematically generating crop rotations , 2003 .

[10]  David Pisinger,et al.  Optimizing the supply chain of biomass and biogas for a single plant considering mass and energy losses , 2017, Eur. J. Oper. Res..

[11]  Jacqueline M. Bloemhof,et al.  Selecting food process designs from a supply chain perspective , 2017 .

[12]  O. Ahumada,et al.  Operational model for planning the harvest and distribution of perishable agricultural products , 2011 .

[13]  O. Ahumada,et al.  Tactical planning of the production and distribution of fresh agricultural products under uncertainty , 2012 .

[14]  Angappa Gunasekaran,et al.  Achieving sustainable performance in a data-driven agriculture supply chain: A review for research and applications , 2019 .

[15]  Feng Chu,et al.  Recent advances and opportunities in sustainable food supply chain: a model-oriented review , 2018, Int. J. Prod. Res..

[16]  Reinaldo Morabito,et al.  An optimization model for the aggregate production planning of a Brazilian sugar and ethanol milling company , 2009, Ann. Oper. Res..

[17]  Andrea Monti,et al.  Energy crops in rotation. A review , 2011 .

[18]  Héctor Flores,et al.  Use of supply chain planning tools for efficiently placing small farmers into high-value, vegetable markets , 2019, Comput. Electron. Agric..

[19]  Margarida Vaz Pato,et al.  Exact and heuristic methods to solve a bi-objective problem of sustainable cultivation , 2019, Annals of Operations Research.

[20]  Jacqueline M. Bloemhof,et al.  Designing an eco-efficient biomass-based supply chain using a multi-actor optimisation model , 2019, Journal of Cleaner Production.

[21]  Alysson M. Costa,et al.  Sustainable vegetable crop supply problem , 2010, Eur. J. Oper. Res..

[22]  Jacqueline M. Bloemhof,et al.  Integrating harvesting decisions in the design of agro-food supply chains , 2019, Eur. J. Oper. Res..

[23]  Jesus René Villalobos,et al.  Application of planning models in the agri-food supply chain: A review , 2009, Eur. J. Oper. Res..

[24]  Agnès Plateau,et al.  A branch-and-price-and-cut approach for sustainable crop rotation planning , 2015, Eur. J. Oper. Res..

[25]  Hans-Otto Günther,et al.  Supply optimization for the production of raw sugar , 2007 .

[26]  Manoj Kumar Tiwari,et al.  A multi-period inventory transportation model for tactical planning of food grain supply chain , 2017, Comput. Ind. Eng..

[27]  M. O'Sullivan,et al.  Agribusiness supply chain risk management: A review of quantitative decision models , 2017, Omega.

[28]  Anass Nagih,et al.  A MIP flow model for crop-rotation planning in a context of forest sustainable development , 2011, Ann. Oper. Res..

[29]  E. Schmid,et al.  CropRota – A crop rotation model to support integrated land use assessments , 2011 .

[30]  Ruud H. Teunter,et al.  Crop-related harvesting and processing planning: a review , 2016 .

[31]  Sanjay Jharkharia,et al.  Agri‐fresh produce supply chain management: a state‐of‐the‐art literature review , 2013 .

[32]  R. C. Kolfschoten,et al.  Opportunities for small‐scale biorefinery for production of sugar and ethanol in the Netherlands , 2014 .

[33]  F. Capitanescu,et al.  Multi-stage farm management optimization under environmental and crop rotation constraints , 2017 .

[34]  Aude Ridier,et al.  A Dynamic Stochastic Programming model of crop rotation choice to test the adoption of long rotation under price and production risks , 2016, Eur. J. Oper. Res..

[35]  Nina K. Detlefsen,et al.  Modelling optimal crop sequences using network flows , 2007 .

[36]  Argyris Kanellopoulos,et al.  The role of farmers’ objectives in current farm practices and adaptation preferences: a case study in Flevoland, the Netherlands , 2014, Regional Environmental Change.