How Long to Read Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

By Jiri Outrata

How Long Does it Take to Read Nonsmooth Approach to Optimization Problems with Equilibrium Constraints?

It takes the average reader 4 hours and 42 minutes to read Nonsmooth Approach to Optimization Problems with Equilibrium Constraints by Jiri Outrata

Assuming a reading speed of 250 words per minute. Learn more

Description

In the early fifties, applied mathematicians, engineers and economists started to pay c10se attention to the optimization problems in which another (lower-Ievel) optimization problem arises as a side constraint. One of the motivating factors was the concept of the Stackelberg solution in game theory, together with its economic applications. Other problems have been encountered in the seventies in natural sciences and engineering. Many of them are of practical importance and have been extensively studied, mainly from the theoretical point of view. Later, applications to mechanics and network design have lead to an extension of the problem formulation: Constraints in form of variation al inequalities and complementarity problems were also admitted. The term "generalized bi level programming problems" was used at first but later, probably in Harker and Pang, 1988, a different terminology was introduced: Mathematical programs with equilibrium constraints, or simply, MPECs. In this book we adhere to MPEC terminology. A large number of papers deals with MPECs but, to our knowledge, there is only one monograph (Luo et al. , 1997). This monograph concentrates on optimality conditions and numerical methods. Our book is oriented similarly, but we focus on those MPECs which can be treated by the implicit programming approach: the equilibrium constraint locally defines a certain implicit function and allows to convert the problem into a mathematical program with a nonsmooth objective.

How long is Nonsmooth Approach to Optimization Problems with Equilibrium Constraints?

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints by Jiri Outrata is 281 pages long, and a total of 70,531 words.

This makes it 95% the length of the average book. It also has 86% more words than the average book.

How Long Does it Take to Read Nonsmooth Approach to Optimization Problems with Equilibrium Constraints Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 25 minutes to read Nonsmooth Approach to Optimization Problems with Equilibrium Constraints aloud.

What Reading Level is Nonsmooth Approach to Optimization Problems with Equilibrium Constraints?

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Nonsmooth Approach to Optimization Problems with Equilibrium Constraints?

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