A Memetic Algorithm and a Solution Archive for the Rooted Delay-Constrained Minimum Spanning Tree Problem
نویسندگان
چکیده
We present a memetic algorithm for a combinatorial optimization problem called rooted delay-constrained minimum spanning tree problem arising for example in centralized broadcasting networks where quality of service constraints are of concern. The memetic algorithm is based on a specialized solution representation and a simple and effective decoding mechanism. Solutions are locally improved by a variable neighborhood descent in two neighborhood structures. Furthermore, to tackle the problem of repeated examination of already visited solutions we investigate a simple hash-based method to only detect duplicates or, alternatively, a trie-based complete solution archive to additionally derive new unvisited solutions. Experimental results show that our memetic algorithm outperforms existing heuristic approaches for this problem in most cases. Including the hash-based duplicate detection mostly further improves solution quality whereas the solution archive can only rarely obtain better results due to its operational overhead.
منابع مشابه
SOLVING A STEP FIXED CHARGE TRANSPORTATION PROBLEM BY A SPANNING TREE-BASED MEMETIC ALGORITHM
In this paper, we consider the step fixed-charge transportation problem (FCTP) in which a step fixed cost, sometimes called a setup cost, is incurred if another related variable assumes a nonzero value. In order to solve the problem, two metaheuristic, a spanning tree-based genetic algorithm (GA) and a spanning tree-based memetic algorithm (MA), are developed for this NP-hard problem. For compa...
متن کاملUsing a Solution Archive to Enhance Metaheuristics for the Rooted Delay-Constrained Minimum Spanning Tree Problem
متن کامل
A Metaheuristic Algorithm for the Minimum Routing Cost Spanning Tree Problem
The routing cost of a spanning tree in a weighted and connected graph is defined as the total length of paths between all pairs of vertices. The objective of the minimum routing cost spanning tree problem is to find a spanning tree such that its routing cost is minimum. This is an NP-Hard problem that we present a GRASP with path-relinking metaheuristic algorithm for it. GRASP is a multi-start ...
متن کاملA Kruskal-Based Heuristic for the Rooted Delay-Constrained Minimum Spanning Tree Problem
The rooted delay-constrained minimum spanning tree problem is an NP-hard combinatorial optimization problem arising for example in the design of centralized broadcasting networks where quality of service constraints are of concern. We present a construction heuristic based on Kruskal’s algorithm for finding a minimum cost spanning tree which eliminates some drawbacks of existing heuristic metho...
متن کاملA Multilevel Heuristic for the Rooted Delay-Constrained Minimum Spanning Tree Problem
The rooted delay-constrained minimum spanning tree (RDCMST) problem is an NP-hard [3] combinatorial optimization problem. The objective is to find a minimum cost spanning tree in a given graph with cost and delay values assigned to each edge. Additionally, a delay-bound is given limiting the maximum delay allowed for each path between a specified root vertex and any other vertex in the graph. T...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011