Simplified Presentation and Logical Aspects of Linear Programming Technique

Heady, Earl O.

doi:10.2307/1234313

Cited by 85 publications

(27 citation statements)

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“…Agricultural applications have a long history in the Operations Research literature, beginning with Heady (1954) that introduced the use of linear programming to the agricultural sector. Recent reviews of this broad field can be found in Lowe and Preckel (2004) and Ahumada and Villalobos (2009).…”

Section: Literature Reviewmentioning

confidence: 99%

Sugarcane Harvest Logistics in Brazil

Lamsal

Jones

Thomas

2017

Transportation Science

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Sugar mills in Brazil represent significant capital investments. To maintain appropriate returns on their investment, sugar companies seek to run the mills at capacity over the entire nine months of the sugarcane harvest season. Because the sugar content of cane degrades considerably once it is cut, maintaining inventories of cut cane is undesirable. Instead, mills want to coordinate the arrival of cut cane with production. In this paper, we present a model of the sugarcane harvest logistics problem in Brazil. We introduce a series of valid inequalities for the model, introduce heuristics for finding an initial feasible solution, and for lifting the lower bound. Computational results demonstrate the effectiveness of the inequalities and heuristics. In addition, we explore the value of allowing trucks to serve multiple rather than single locations and demonstrate the value of allowing the harvest speed to vary.

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Section: Literature Reviewmentioning

confidence: 99%

Sugarcane Harvest Logistics in Brazil

Lamsal

Jones

Thomas

2017

Transportation Science

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“…As observed in the earliest review of mathematical models in farm planning made by Glen (1987), some optimization models and decision support tools have been developed for applications in crop planning as early as 1954. In the earliest publication found of such methods, Heady (1954) advocated the use of a linear programming model as a simple alternative for planning and budgeting agricultural production. Thereafter, we observe that mathematical models directed to agricultural planning started to become more widespread during the 1970s and 1980s with just a few publications during the decade of the 1960s.…”

Section: Historical Overview Of Mathematical Models In Ascsmentioning

confidence: 99%

Planning the Planting, Harvest, and Distribution of Fresh Horticultural Products

Mason

Flores

Villalobos

et al. 2015

International Series in Operations Research &Amp; Management Science

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“…One of the earliest examples of linear programming application deals with farm planning and is due to Heady [3]. Glen [4] offered a thorough revision of mathematical models in farm planning with dozens of applications, and Weintraub and Romero [5] offer a more recent review of the literature available.…”

Section: Plantation Planning and Schedulementioning

confidence: 99%

Mathematical programming accelerates implementation of agro-industrial sugarcane complex

Colin

2009

European Journal of Operational Research

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Simplified Presentation and Logical Aspects of Linear Programming Technique

Cited by 85 publications

References 0 publications

Sugarcane Harvest Logistics in Brazil

Sugarcane Harvest Logistics in Brazil

Planning the Planting, Harvest, and Distribution of Fresh Horticultural Products

Mathematical programming accelerates implementation of agro-industrial sugarcane complex

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