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Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-02
On Uncertain Programming and the Farm Planning Problem
Justin Chirima, Confess Matete
Published: March 30, 2018 |
112
64
DOI: 10.21276/sjpms.2018.5.2.4
Pages: 124-129
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Abstract
Farmers often encounter the problem of what to produce, how and when to
produce it under a given set of resource restrictions. This problem is termed the farm
planning problem. In this paper we develop an uncertain farm planning model for
maximising expected total farm revenue. The wage-rates and the selling prices for
crops are considered to be uncertain variables. In this paper we employ uncertainty
theory to model the farm planning problem. The objective is to maximize the expected
total farm revenue which is derived from taking the expectation of revenue plus labour
earnings minus labour costs minus miscellaneous costs. The notion of inverse
uncertainty distribution is used in calculating the expected costs and selling price.
After taking the expectation, the objective function reduces to a deterministic
function. A numerical example was solved in order to show the applicability of an
uncertain farm planning problem.