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Ring star problem

The ring star problem (RSP) is a NP-hard problem in combinatorial optimization. In a complete weighted mixed graph, the ring star problem aims to find a minimum cost ring star subgraph formed by a cycle (ring part) and a set of arcs (star part) such that each arc's child node belongs to the cycle and each arc's parent node does not. The costs for the…

Art, Heuristics & Exact formulations

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Heuristics

HeuristicVariable neighborhood searchEvolutionary algorithm
3 related topics

Exact formulations

MILP
1 related topics

Overview

NP-hardCombinatorial optimizationCompleteMixed graphCycle
10 related topics

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Overview

Exact formulations

  • MILP Integer Programming

Heuristics

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Ring star problem

Nodes18
Edges17
Triples10
Avg. degree1.89
Density0.111111
Components1

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Ring star problem

Top relations

related to Exact formulations · 6
Ring star problem → ILP, MILP, Ring, RSP, Several, The
related to Variants of the ring star problem · 2
Ring star problem → Many, The

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Important terminology

rsp ring problem star arcs cycle node costs first introduced optimization exact formulations variants heuristic np-hard complete subgraph tsp telecommunications

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
a graph-layers based ILPinstance ofSeveral exact formulations have since been introduced in order to solve the Ring star problem0.80text
a st-chains formulationinstance ofSeveral exact formulations have since been introduced in order to solve the Ring star problem0.80text
Ring star problemrelated to Exact formulationsRSP0.60section
Ring star problemrelated to Exact formulationsThe0.60section
Ring star problemrelated to Exact formulationsMILP0.60section
Ring star problemrelated to Exact formulationsSeveral0.60section
Ring star problemrelated to Exact formulationsRing0.60section
Ring star problemrelated to Exact formulationsILP0.60section
Ring star problemrelated to Variants of the ring star problemMany0.60section
Ring star problemrelated to Variants of the ring star problemThe0.60section

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    Min side: 3
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