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Preface
This documentation guides GAMS User through several topics in GAMS system. Some introductions to software systems
are like reference manuals: they describe each command in detail. Others take you step by step through a small number of
examples. This guide uses elements of both approaches.
• Introduction and Tutorial - This is a self-contained tutorial that guides you through a single example, a small
transportation model, in some detail: you can quickly investigate the flavor of GAMS by reading it.
– Introduction - an introductory to GAMS User's Guide.
– Tutorial - A GAMS Tutorial by Richard E. Rosenthal.
通用代数建模系统(GAMS)是数学编程和优化的建模系统。它由一个语言编译器和一个稳定的集成各种高性能的求解器组成。GAMS适用于复杂的、大规模的建模应用,并允许您创建大的维护模型以很快的适应新的情况。
专注建模
GAMS允许用户在某种程度上,用跟数学描述非常相似的方式来制定数学模型。看一下这些例子就能说明GAMS模型的基本结构和特征以及与数学表达式的关系。GAMS让用户专注建模,通过要求简洁和的实体和关系规范,鼓励良好的建模习惯。GAMS语言与通用编程语言形式相似,因此对于有编程经验的人来说是熟悉的。由于模型的制定方式在某种程度上与它的数学描述类似,所以不仅是程序员,实际领域的也能理解和维护。GAMS专注于建模并且允许做所有相关的事。
陈述性知识和程序性要素的平衡混合,允许用户在GAMS中构建复杂的算法甚至实现分解方法。尤其是解决异常问题的模型,以及随之而来的性能问题。
Here are some points to remember.
• The power to create multiple equations with a single GAMS statement is controlled by the domain. For example, the
definition for the demand constraint will result in the creation of one constraint for each element of the domain j, as
shown in the following excerpt from the GAMS output.
DEMAND(new-york)..X(seattle,new-york) + X(san-diego,new-york)=G=325 ;
DEMAND(chicago).. X(seattle,chicago) + X(san-diego,chicago) =G=300 ;
DEMAND(topeka).. X(seattle,topeka) + X(san-diego,topeka) =G=275 ;
• The key idea here is that the definition of the demand constraints is exactly the same whether we are solving the
toy-sized example above or a 20,000-node real-world problem. In either case, the user enters one generic equation
algebraically, and GAMS creates the specific equations that are appropriate for the model instance at hand. (Using
some other optimization packages, something like the extract above would be part of the input, not the output.)
• In many real-world problems, some of the members of an equation domain need to be omitted or differentiated from the
pattern of the others because of an exception of some kind. GAMS can readily accommodate this loss of structure using
a powerful feature known as the dollar or 'such-that' operator, which is not illustrated here. The domain restriction
feature can be absolutely essential for keeping the size of a real-world model within the range of solvability.
GAMS允许用户在某种程度上,用跟数学描述非常相似的方式来制定数学模型。看一下这些例子就能说明GAMS模型
的基本结构和特征以及与数学表达式的关系。GAMS让用户专注建模,通过要求简洁和的实体和关系规范,鼓励良好
的建模习惯。GAMS语言与通用编程语言形式相似,因此对于有编程经验的人来说是熟悉的。由于模型的制定方式在某种
程度上与它的数学描述类似,所以不仅是程序员,实际领域的也能理解和维护。GAMS专注于建模并且允许做所有相
关的事。
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