最优线性规划法在土地利用总体规划中的应用

本文对土地利用总体规划的原则、要求及最优线性规划法对这些原则、要求的适应性进行了系统研究，并以石柱县为例，着重探讨了最优线性规划法在县级土地利用总体规划中的应用及操作细节。

最优线性规划法在土地利用总体规划中的应用

探讨最优线性规划法对土地利用总体规划的适用性。方法：理论与实践相结合，采用最优线性规划法、专家打分法。结果：最优线性规划法在石柱县土地利用总体规划中有较好的适用性，能对土地利用结构进行定量优化，并能反映出该县土地利用的经济主导性、地域特殊性和国家政策约束性，符合土地利用总体规划的要求。结论：最优线性规划法适用于土地利用总体规划。

土地利用结构优化的实现与实证

土地利用结构优化是土地利用规划的核心内容。利用最优线性规划法进行土地利用结构优化,不仅能实现区域土地利用结构的定量分配,而且能反映区域经济发展的主导性、地域特殊性等。应用最优线性规划法对沁阳市的土地利用结构进行优化配置,取得了较好的效果。

Global Convergence of a New Conjugate Gradient Methods with a Modification of the Curry-Altman Step-size Rule

Conjugate gradient optimization algorithms depend on the search directions with different choices for the parameter in the search directions. In this note, conditions are given on the parameter in the conjugate gradient directions to ensure the descent property of the search directions. Global convergence of such a class of methods is discussed. It is shown that, using reverse modulus of continuity function and forcing function, the new method for solving unconstrained optimization can work for a continuously differentiable function with a modification of the Curry-Altman's step-size rule and a bounded level set. Combining PR method with our new method, PR method is modified to have global convergence property.Numerical experiments show that the new methods are efficient by comparing with FR conjugate gradient method.

Solving Hitchcock’s transportation problem by a genetic algorithm

Genetic algorithms (GAs) employ the evolutionary process of Darwin’s nature selection theory to find the solutions of optimization problems. In this paper, an implementation of genetic algorithm is put forward to solve a classical transportation problem, namely the Hitchcock’s Transportation Problem (HTP), and the GA is improved to search for all optimal solutions and identify them automatically. The algorithm is coded with C++ and validated by numerical examples. The computational results show that the algorithm is efficient for solving the Hitchcock’s transportation problem.