A Tabu Search Heuristic for the Equitable Coloring Problem
نویسندگان
چکیده
The Equitable Coloring Problem is a variant of the Graph Coloring Problem where the sizes of two arbitrary color classes differ in at most one unit. This additional condition, called equity constraints, arises naturally in several applications. Due to the hardness of the problem , current exact algorithms can not solve large-sized instances. Such instances must be addressed only via heuristic methods. In this paper we present a tabu search heuristic for the Equitable Coloring Problem. This algorithm is an adaptation of the dynamic TabuCol version of Galinier and Hao. In order to satisfy equity constraints, new local search criteria are given. Computational experiments are carried out in order to find the best combination of parameters involved in the dynamic tenure of the heuristic. Finally, we show the good performance of our heuristic over known benchmark instances.
منابع مشابه
Backtracking based iterated tabu search for equitable coloring
An equitable k-coloring of an undirected graph G = (V,E) is a partition of its vertices into k disjoint independent sets, such that the cardinalities of any two independent sets differ by at most one. As a variant of the graph coloring problem (GCP), the equitable coloring problem (ECP) concerns finding a minimum k for which an equitable k-coloring exists. In this work, we propose a backtrackin...
متن کاملA heuristic approach for multi-stage sequence-dependent group scheduling problems
We present several heuristic algorithms based on tabu search for solving the multi-stage sequence-dependent group scheduling (SDGS) problem by considering minimization of makespan as the criterion. As the problem is recognized to be strongly NP-hard, several meta (tabu) search-based solution algorithms are developed to efficiently solve industry-size problem instances. Also, two different initi...
متن کاملA novel heuristic algorithm for capacitated vehicle routing problem
The vehicle routing problem with the capacity constraints was considered in this paper. It is quite difficult to achieve an optimal solution with traditional optimization methods by reason of the high computational complexity for large-scale problems. Consequently, new heuristic or metaheuristic approaches have been developed to solve this problem. In this paper, we constructed a new heuristic ...
متن کاملTabu Search vs. Random Walk
We investigate the beneet of Tabu Search for satissability (SAT) and constraint satisfaction problems (CSP) and compare it to the more frequently used random walk heuristic. We argue, that a more deterministic direction of search as done with Tabu Search is worth considering also for SAT and CSP. We give experimental evidence that Tabu Search can be used to eeciently guide local search procedur...
متن کاملAn Improved Modified Tabu Search Algorithm to Solve the Vehicle Routing Problem with Simultaneous Pickup and Delivery
The vehicle routing problem with simultaneous pickup and delivery (VRPSPD) is a well-known combinatorial optimization problem which addresses provided service to a set of customers using a homogeneous fleet of capacitated vehicles. The objective is to minimize the distance traveled. The VRPSPD is an NP-hard combinatorial optimization problem. Therefore, practical large-scale instances of VR...
متن کامل