数学规划中的建模
Model building in mathematical programming
H. P. Williams · 初版 1999 年
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第五版 Model Building in Mathematical Programming 论述了数学规划中模型构建的通用原则，并通过来自截然不同领域的若干简化但切合实际的问题，展示了这些原则的具体应用。书中给出了推荐的模型表述与求解方案，并结合了部分计算实践经验，使读者对求解该特定类型模型的计算难度建立起直观认识。此外，本书还阐明了数学规划的适用范围与局限性，并展示了其具体应用方式
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……针对我遇到的每种约束给出示例，但这些工具反而指望我靠着那些极其泛泛的例子自己琢磨出一切。如果你面临的问题可以用LP / MIP这套来解决，威廉姆斯写过一本《数学规划中的模型构建》，里面针对一系列应用场景给出了几十个不同的优化问题，并附有如何建立模型来求解各个问题的实操例子。每个问题都会容易……
…examples for each type of constraint I have but instead, the tools expect me to figure out everything based on very generic examples if your problems can be attacked by LP / MIP type stuff, there's a book "model building in mathematical programming" by Williams that has a couple dozen different optimisation problems for a range of applications, with worked examples of how to formulate a model to solve each of them. each problem will be much less…
这是1977年的老内容了。作为基础知识大概还凑合，但找本现代教材肯定效果更好，比如H. 保罗·威廉姆斯的《数学规划中的模型构建》（第5版）。
This is from 1977. I suppose it's ok for fundamentals but you can probably do better going with a modern text like Model Building in Mathematical Programming by H. Paul Williams (5th Edition)
威廉姆斯那本《数学规划中的模型构建》独特之处在于，它讲的是如何建立LP和MILP问题的数学模型，而不是单纯盯着单纯形法怎么运作这种算法底层。算法知道固然好，但真不……
The "Model Building in Mathematical Programming" book by Williams is unique in that it talks about how to formulate LP and MILP problems, rather than focusing on the algorithm side of how the simplex algorithm works. That's nice to know, but not really…
……如果你真的对运用于商业场景的IP/LP/MILP/CP感兴趣，建议开始读读运筹学领域的相关文献。好书多的是。我推荐《数学规划中的模型构建》……它主要是LP技术的入门，但正是这本书让我茅塞顿开，学会了如何识别现实问题并将其转化为数学模型。
…you're really interested in IP/LP/MILP/CP with business applications, start picking up literature within the Operations Research discipline. There are plenty of great books to go around. I'd recommend Model Building in Mathematical Programming...its mostly an intro to LP techniques, but the it was the book that made things click for me in terms of identifying and translating real world problems into mathematical models.