Optimum forage allocation through chance-constrained programming

Hunter, Dennis H.; Bartlett, E. T.; Jameson, Donald A.

doi:10.1016/0304-3800(76)90027-2

Cited by 8 publications

(2 citation statements)

References 7 publications

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“…These rates can be dependent upon previous state variable values, state variable interactions, and time. In contrast, serial LP models, such as the ones developed by previous authors (Sharp 1967, Bartlett et al 1974, Hunter et al 1976, and Propoi 1979, show production rates which vary only with respect to time. Dynamic optimization models yield a sequence of optimal decision rules useful to decision makers (i.e., range managers).…”

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confidence: 85%

A Dynamic Programming Application for Short-Term Grazing Management Decisions

Rodríguez¹,

Roath²

1987

Journal of Range Management

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This study emphasizes short-term management decisions that are made in a yearling cattle operation in northeastern Colorado. Empirical equations describing forage and animal growth were coupled with marketing and supplementation rltemrtives. Four cases were modeled with high and low stocking densities and partial or total sales strategfes. Net present value of yearling steer sales were nuzhnized using dynamic programming. Early sale of cattle was an economically favorable rltemrtfve because of decreasing daily grins to-d the end of the grazing season (September-October) and decreasing steer prices. Supplementation during September-October was also profitable to offset the decreasing trend in average daily gain caused by declining forage quality. Under the high stocking density and partial sales strategy, errly sales regulated standhtg crop left at the end of the grazing season. Under the low stocking density and partial sales strategy, early sales partially offset net return losses for those animals that had to be sold at the traditional marketing date. The total sales strategy favored sales of livestock 2 weeks before traditional marketing under low and high stocking density and partial sales strategy. Net present values per pasture were slightly larger for the total sales strrrtegy than the partial sales strategy using both low and high stocking densities.

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confidence: 85%

A Dynamic Programming Application for Short-Term Grazing Management Decisions

Rodríguez¹,

Roath²

1987

Journal of Range Management

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“…In this case, random effects in the coefficients or constraining matrices are included, usually by the replacement of a parameter with some measure of its central tendency and variation. Applications of chance constrained programming include the study of forest management (Thompson and Haynes [1971]), range management (Hunter et al [1976]) and land reclamation (Tyagi and Narayana [1983]).…”

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confidence: 99%

Review of Dynamic Optimization Methods in Renewable Natural Resource Management

Williams

1989

Natural Resource Modeling

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In recent years, the applications of dynamic optimization procedures in natural resource management have proliferated. A systematic review of these applications is given in terms of a number of optimization methodologies and natural resource systems. Optimization methods are characterized by (1) the mathematical model used to describe a natural resource system, (2) a set of feasible strategies available to the resource manager, and (3) an objective functional by which to measure benefits and costs of strategies. A formal statement of the control problem is used to describe six approaches to optimal utilization of renewable natural resources: variational mathematics, specifically Pontryagin's Maximum Principle; dynamic programming; linear programming; nonlinear programming; simulation‐optimization; and classical procedures. Solution methodologies are illustrated for each of these approaches, and examples from the ecological and natural resource literature are described for various subject matter areas. Applications are highlighted in terms of model structures, objective functionals, and system constraints. To the extent possible, optimal management patterns are characterized. Finally, the applicability of the methods to renewable natural resource systems are compared in terms of system complexity, system size, and precision of the optimal solutions. Recommendations are made concerning the appropriate methods for certain kinds of biological resource problems.

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Derivation of optimal stocking policies for grazing in arid regions. I. methodology

Fisher

1985

Applied Mathematics and Computation

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Optimum forage allocation through chance-constrained programming

Cited by 8 publications

References 7 publications

A Dynamic Programming Application for Short-Term Grazing Management Decisions

A Dynamic Programming Application for Short-Term Grazing Management Decisions

Review of Dynamic Optimization Methods in Renewable Natural Resource Management

Derivation of optimal stocking policies for grazing in arid regions. I. methodology

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