油田优化配产的区间线性规划模型

Interval linear programming model of oilfield optimized allocation

油田优化配产即油田企业对二级单位的产量、成本等进行优化配置,实现指标分解和整体效益最大化。油田配产涉及的规划总产量、规划总成本及二级单位的单位生产成本等参数往往具有不确定性,但均可用区间数表示。对区间线性规划模型的各种转换形式进行综述,给出了统一的确定型参数线性规划转换形式,定义了区间线性规划的λ-α水平解,并给出具体求解步骤。分别以产量最大化、成本最小化和利润最大化为目标函数,兼顾油田企业规划总成本、总产量及各二级单位生产能力上下限等约束,建立了油田优化配产的区间线性规划模型,给出了对应的确定型转换形式。SL油田优化配产实例表明,提出的油田优化配产区间线性规划模型理论基础成熟,求解简单易行,为油田配产提供了新的、更加接近实际的思路。

Oilfield optimized allocation means oilfield allocates production and cost to all the subordinate production units and realizes target decomposition and overall benefit maximization. In oilfield allocation, the programming production, programming cost and production cost per unit of subordinate production units are usually uncertain and can be expressed by interval numbers. This paper summarizes all the transformation forms of interval linear programming model, proposes a unified parameter linear programming transformation form, definites the A--~ level solution and presents concrete solution steps. Using production maximization, cost minimization and profit maximization as objective distinctly and taking programming cost, programming production and productivities of all the subordinate production units into account, it constructs the interval programming models of oilfield optimized allocation and gives their related parameter programming transformation form. The optimized allocation of SL Oilfield has testified the theoretical basis and practicability of the model, which provides a new decision basis closer for reality for optimization allocation.