Redundant constraints in the standard formulation for the clique partitioning problem
نویسندگان
چکیده
Grötschel and Wakabayashi (1989) experimentally confirmed that their cutting plane algorithms for the standard formulation for the clique partitioning problem terminate when only a small fraction of constraints are added. Motivated by this result, we theoretically derive a certain class of redundant constraints in the formulation. More than half of the constraints belong to the class for some instances.
منابع مشابه
Inverse Kinematics Resolution of Redundant Cooperative Manipulators Using Optimal Control Theory
The optimal path planning of cooperative manipulators is studied in the present research. Optimal Control Theory is employed to calculate the optimal path of each joint choosing an appropriate index of the system to be minimized and taking the kinematics equations as the constraints. The formulation has been derived using Pontryagin Minimum Principle and results in a Two Point Boundary Value Pr...
متن کاملInverse Kinematics Resolution of Redundant Cooperative Manipulators Using Optimal Control Theory
The optimal path planning of cooperative manipulators is studied in the present research. Optimal Control Theory is employed to calculate the optimal path of each joint choosing an appropriate index of the system to be minimized and taking the kinematics equations as the constraints. The formulation has been derived using Pontryagin Minimum Principle and results in a Two Point Boundary Value Pr...
متن کاملDesign and Evaluation of a Method for Partitioning and Offloading Web-based Applications in Mobile Systems with Bandwidth Constraints
Computation offloading is known to be among the effective solutions of running heavy applications on smart mobile devices. However, irregular changes of a mobile data rate have direct impacts on code partitioning when offloading is in progress. It is believed that once a rate-adaptive partitioning performed, the replication of such substantial processes due to bandwidth fluctuation can be avoid...
متن کاملLagrangian relaxation and pegging test for the clique partitioning problem
The clique partitioning problem is an NP-hard combinatorial optimization problem with applications to data analysis such as clustering. Though a binary integer linear programming formulation has been known for years, one needs to deal with a huge number of variables and constraints when solving a large instance. In this paper, we propose a size reduction algorithm which is based on the Lagrangi...
متن کاملCockpit Crew Pairing Problem in Airline Scheduling: Shortest Path with Resources Constraints Approach
Increasing competition in the air transport market has intensified active airlines’ efforts to keep their market share by attaching due importance to cost management aimed at reduced final prices. Crew costs are second only to fuel costs on the cost list of airline companies. So, this paper attempts to investigate the cockpit crew pairing problem. The set partitioning problem has been used for ...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Optimization Letters
دوره 9 شماره
صفحات -
تاریخ انتشار 2015