Admissible transformations and assignment problems

نویسندگان

  • Rainer E. Burkard
  • Hoang Tuy
چکیده

We introduce the notion of admissible transfomations which is related to the Hungarian method for solving assignment problems. Admissible transformations are stated for linear, quadratic and multi-index assignment problems. Their application to find good lower bounds and/or to solve the problem, respectively, is outlined. Finally it is shown that admissible transformations can also be applied to so-called algebraic objective functions whose cost elements are drawn from a totally ordered semigroup.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On $F$-Weak Contraction of Generalized Multivalued Integral Type Mappings with $alpha $-admissible

The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the ...

متن کامل

A Generalization of a Theorem of Dimensional Analysis

Any function relating several variables for which admissible scale transformations are specified is assumed to satisfy a functional equation that requires admissible transformations of the independent variables to effect only admissible transformations of the dependent variable. When there are not any dimensional constants that, in effect, cancel out the admissible transformations of the indepe...

متن کامل

An Interval Assignment Problem with Multiple Attributes: A DEA-Based Approach

One of the basic combinatorial optimization problems is the assignment problem that deals with assigning jobs to individuals. In traditional assignment problems, n jobs usually assign to n individuals such that the total cost is minimized or the total profit is maximized. However, in numerous real-life applications, various attributes could be considered in assignment problems while data (obj...

متن کامل

Admissible Digit Sets and a Modified Stern–Brocot Representation

We examine a special case of admissible representations of the closed interval, namely those which arise via sequences of a finite number of Möbius transformations. We regard certain sets of Möbius transformations as a generalized notion of digits and introduce sufficient conditions that such a “digit set” yields an admissible representation of [0,+∞]. Furthermore we establish the productivity ...

متن کامل

Feedback Control of Linear Systems under Input Constraints

This paper shows that the problem of control under linear symmetrical input constraints of linear stabilizable systems can always be solved by restricting the set of admissible initial states to a polyhedral domain of the state space. This result can be obtained by an appropriate closed-loop eigenstructure assignment. Two subsequent problems are then addressed: the maximal size of the domain of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007