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A Survey of Approximation Results for Local Search Algorithms

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/j.1538-7305.1970.tb01770.xopenalex-snapshot
An Efficient Heuristic Procedure for Partitioning Graphs
inferredcites →https://doi.org/10.1006/jagm.2000.1100openalex-snapshot
Analysis of a Local Search Heuristic for Facility Location Problems
inferredcites →https://doi.org/10.1006/jagm.2000.1155openalex-snapshot
Greedy Local Improvement and Weighted Set Packing Approximation
inferredcites →https://doi.org/10.1007/3-540-44867-5openalex-snapshot
Experimental and Efficient Algorithms
inferredcites →https://doi.org/10.1007/3-540-44867-5_9openalex-snapshot
Linear Time Local Improvements for Weighted Matchings in Graphs
inferredcites →https://doi.org/10.1007/3-540-44985-x_19openalex-snapshot
A d/2 Approximation for Maximum Weight Independent Set in d-Claw Free Graphs
inferredcites →https://doi.org/10.1007/3-540-45414-4_4openalex-snapshot
Competitive Hill-Climbing Strategies for Replica Placement in a Distributed File System
inferredcites →https://doi.org/10.1007/3-540-45535-3_29openalex-snapshot
Performance Guarantees of Local Search for Multiprocessor Scheduling
inferredcites →https://doi.org/10.1007/3-540-48432-9_15openalex-snapshot
A New Algorithm for Energy Minimization with Discontinuities
inferredcites →https://doi.org/10.1007/3-540-52282-4_52openalex-snapshot
The analysis of local search problems and their heuristics
inferredcites →https://doi.org/10.1007/3-540-57811-0_5openalex-snapshot
New local search approximation techniques for maximum generalized satisfiability problems
inferredcites →https://doi.org/10.1007/3-540-57880-3_2openalex-snapshot
Pi-nets: A graphical form of π-calculus
inferredcites →https://doi.org/10.1007/3-540-58218-5_18openalex-snapshot
Improved approximations of independent sets in bounded-degree graphs
inferredcites →https://doi.org/10.1007/3-540-60618-1_74openalex-snapshot
Non-oblivious local search for graph and hypergraph coloring problems
inferredcites →https://doi.org/10.1007/3-540-61680-2openalex-snapshot
Algorithms — ESA '96
inferredcites →https://doi.org/10.1007/3-540-61680-2_47openalex-snapshot
Positive linear programming, parallel approximation and PCP's
inferredcites →https://doi.org/10.1007/3-540-63397-9openalex-snapshot
Algorithms - ESA '97: 5th Annual European Symposium, Graz, Austria, September 15-17, 1997. Proceedings
inferredcites →https://doi.org/10.1007/3-540-63397-9_2openalex-snapshot
On local search for weighted κ-set packing
inferredcites →https://doi.org/10.1007/978-1-4613-0303-9_2openalex-snapshot
Approximate Algorithms and Heuristics for MAX-SAT
inferredcites →https://doi.org/10.1007/978-1-4615-1507-4openalex-snapshot
Essays and Surveys in Metaheuristics
inferredcites →https://doi.org/10.1007/978-1-4684-2001-2openalex-snapshot
Complexity of Computer Computations
inferredcites →https://doi.org/10.1007/978-1-4684-2001-2_9openalex-snapshot
Reducibility among Combinatorial Problems
inferredcites →https://doi.org/10.1007/978-1-4757-3023-4openalex-snapshot
Handbook of Combinatorial Optimization
inferredcites →https://doi.org/10.1007/978-1-4899-7687-1_100317openalex-snapshot
Multi-criteria Optimization
inferredcites →https://doi.org/10.1007/978-3-662-04616-6openalex-snapshot
Algorithmics for Hard Problems
inferredcites →https://doi.org/10.1007/978-3-662-21708-5_16openalex-snapshot
Approximation Algorithms
inferredcites →https://doi.org/10.1007/978-3-662-22199-0openalex-snapshot
Multicriteria Optimization
inferredcites →https://doi.org/10.1007/b101971openalex-snapshot
The Traveling Salesman Problem and Its Variations
inferredcites →https://doi.org/10.1007/bf01585745openalex-snapshot
Approximation algorithms for scheduling unrelated parallel machines
inferredcites →https://doi.org/10.1007/bf02241270openalex-snapshot
Algorithms for the maximum satisfiability problem
inferredcites →https://doi.org/10.1007/bf02523688openalex-snapshot
Improved approximation algorithms for MAXk-CUT and MAX BISECTION
inferredcites →https://doi.org/10.1007/bfb0024483openalex-snapshot
Non-oblivious local search for MAX 2-CCSP with application to MAX DICUT
inferredcites →https://doi.org/10.1007/s004540010019openalex-snapshot
On Approximate Geometric k -Clustering
inferredcites →https://doi.org/10.1007/s10479-005-3971-7openalex-snapshot
Metaheuristics in Combinatorial Optimization
inferredcites →https://doi.org/10.1007/springerreference_57547openalex-snapshot
Approximation Algorithms
inferredcites →https://doi.org/10.1016/0020-0190(92)90208-dopenalex-snapshot
Approximation algorithms for geometric median problems
inferredcites →https://doi.org/10.1016/0020-0190(95)00006-xopenalex-snapshot
Local search, reducibility and approximability of NP-optimization problems
inferredcites →https://doi.org/10.1016/0022-0000(88)90046-3openalex-snapshot
How easy is local search?
inferredcites →https://doi.org/10.1016/0166-218x(83)90080-xopenalex-snapshot
Efficient bounds for the stable set, vertex cover and set packing problems
inferredcites →https://doi.org/10.1016/0166-218x(92)90113-oopenalex-snapshot
Paroids: a canonical format for combinatorial optimization
inferredcites →https://doi.org/10.1016/0166-218x(93)90005-9openalex-snapshot
Paroid search: generic local combinatorial optimization
inferredcites →https://doi.org/10.1016/0166-218x(95)00030-uopenalex-snapshot
Improving local search heuristics for some scheduling problems—I
inferredcites →https://doi.org/10.1016/0167-6377(92)90049-9openalex-snapshot
Local search and the local structure of NP-complete problems
inferredcites →https://doi.org/10.1016/0377-2217(91)90197-4openalex-snapshot
QAPLIB-A quadratic assignment problem library
inferredcites →https://doi.org/10.1016/j.orl.2003.08.004openalex-snapshot
Local approximations for maximum partial subgraph problem
inferredcites →https://doi.org/10.1016/s0012-365x(98)00115-0openalex-snapshot
Maximum cuts: Improvements and local algorithmic analogues of the Edwards-Erdos inequality
inferredcites →https://doi.org/10.1016/s0020-0190(02)00230-2openalex-snapshot
A note on the minimum label spanning tree
inferredcites →https://doi.org/10.1016/s0020-0190(97)00127-0openalex-snapshot
The minimum labeling spanning trees
inferredcites →https://doi.org/10.1016/s0020-0190(98)00034-9openalex-snapshot
On the minimum label spanning tree problem
inferredcites →https://doi.org/10.1016/s0022-0000(74)80044-9openalex-snapshot
Approximation algorithms for combinatorial problems
inferredcites →https://doi.org/10.1016/s0166-218x(01)00338-9openalex-snapshot
A survey of very large-scale neighborhood search techniques
inferredcites →https://doi.org/10.1016/s0166-218x(02)00404-3openalex-snapshot
Worst-case study of local search for MAX-k-SAT
inferredcites →https://doi.org/10.1016/s0166-218x(96)00036-4openalex-snapshot
Improving local search heuristics for some scheduling problems. Part II
inferredcites →https://doi.org/10.1016/s0166-218x(96)00063-7openalex-snapshot
Nonoverlapping local alignments (weighted independent sets of axis-parallel rectangles)
inferredcites →https://doi.org/10.1016/s0166-218x(97)00129-7openalex-snapshot
On the quality of local search for the quadratic assignment problem
inferredcites →https://doi.org/10.1016/s0167-5060(08)70356-xopenalex-snapshot
Optimization and Approximation in Deterministic Sequencing and Scheduling: a Survey
inferredcites →https://doi.org/10.1016/s0167-6377(02)00165-7openalex-snapshot
On local search for the generalized graph coloring problem
inferredcites →https://doi.org/10.1016/s0167-6377(02)00241-9openalex-snapshot
Local search for the minimum label spanning tree problem with bounded color classes
inferredcites →https://doi.org/10.1016/s0196-6774(02)00005-6openalex-snapshot
Improved approximation of Max-Cut on graphs of bounded degree
inferredcites →https://doi.org/10.1016/s0196-6774(03)00056-7openalex-snapshot
A constant factor approximation algorithm for the fault-tolerant facility location problem
inferredcites →https://doi.org/10.1016/s0304-3975(01)00174-8openalex-snapshot
A deterministic (2−2/(k+1))n algorithm for k-SAT based on local search
inferredcites →https://doi.org/10.1016/s0304-3975(03)00376-1openalex-snapshot
Approximating the Pareto curve with local search for the bicriteria TSP(1,2) problem
inferredcites →https://doi.org/10.1016/s0304-3975(96)00135-1openalex-snapshot
Finding optimal subgraphs by local search
inferredcites →https://doi.org/10.1016/s0377-2217(02)00825-1openalex-snapshot
Lexicographic local search and the p-center problem
inferredcites →https://doi.org/10.1016/s0898-1221(00)90183-4openalex-snapshot
Complexity and approximation: Combinatorial optimization problems and their approximability properties
inferredcites →https://doi.org/10.1016/s0924-6509(09)x7013-3openalex-snapshot
Graphs and Hypergraphs
inferredcites →https://doi.org/10.1017/cbo9780511616655openalex-snapshot
A First Course in Combinatorial Optimization
inferredcites →https://doi.org/10.1023/a:1008293323270openalex-snapshot
QAPLIB – A Quadratic Assignment Problem Library
inferredcites →https://doi.org/10.1090/dimacs/016/01openalex-snapshot
The quadratic assignment problem: A survey and recent developments
inferredcites →https://doi.org/10.1090/dimacs/035/19openalex-snapshot
Solving MAX-SAT with nonoblivious functions and history-based heuristics
inferredcites →https://doi.org/10.1109/istcs.1995.377033openalex-snapshot
Approximating the value of two power proof systems, with applications to MAX 2SAT and MAX DICUT
inferredcites →https://doi.org/10.1109/sfcs.1989.63481openalex-snapshot
Structure in locally optimal solutions
inferredcites →https://doi.org/10.1109/sfcs.1991.185365openalex-snapshot
On selecting a satisfying truth assignment
inferredcites →https://doi.org/10.1109/sfcs.1994.365712openalex-snapshot
On syntactic versus computational views of approximability
inferredcites →https://doi.org/10.1109/sffcs.1999.814571openalex-snapshot
Primal-dual approximation algorithms for metric facility location and k-median problems
inferredcites →https://doi.org/10.1109/sffcs.1999.814609openalex-snapshot
Improved combinatorial algorithms for the facility location and k-median problems
inferredcites →https://doi.org/10.1112/blms/6.2.218bopenalex-snapshot
GRAPHS AND HYPERGRAPHS
inferredcites →https://doi.org/10.1137/0206013openalex-snapshot
Bounds for LPT Schedules on Uniform Processors
inferredcites →https://doi.org/10.1137/0209007openalex-snapshot
Bounds for List Schedules on Uniform Processors
inferredcites →https://doi.org/10.1137/0217033openalex-snapshot
A Polynomial Approximation Scheme for Scheduling on Uniform Processors: Using the Dual Approximation Approach
inferredcites →https://doi.org/10.1137/0220004openalex-snapshot
Simple Local Search Problems that are Hard to Solve
inferredcites →https://doi.org/10.1137/0221030openalex-snapshot
The Complexity of the Lin–Kernighan Heuristic for the Traveling Salesman Problem
inferredcites →https://doi.org/10.1137/0402008openalex-snapshot
On the Size of Systems of Sets Every t of which Have an SDR, with an Application to the Worst-Case Ratio of Heuristics for Packing Problems
inferredcites →https://doi.org/10.1137/s0097539702416402openalex-snapshot
Local Search Heuristics for k -Median and Facility Location Problems
inferredcites →https://doi.org/10.1137/s0097539703431007openalex-snapshot
Approximate Local Search in Combinatorial Optimization
inferredcites →https://doi.org/10.1137/s0097539793245350openalex-snapshot
Integer Linear Programs and Local Search for Max-Cut
inferredcites →https://doi.org/10.1137/s0097539793251244openalex-snapshot
New Results on the Old k -opt Algorithm for the Traveling Salesman Problem
inferredcites →https://doi.org/10.1137/s0097539795286612openalex-snapshot
On Syntactic versus Computational Views of Approximability
inferredcites →https://doi.org/10.1137/s0097539799363359openalex-snapshot
On Local Search and Placement of Meters in Networks
inferredcites →https://doi.org/10.1145/195058.195216openalex-snapshot
.879-approximation algorithms for MAX CUT and MAX 2SAT
inferredcites →https://doi.org/10.1145/227683.227684openalex-snapshot
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
inferredcites →https://doi.org/10.1145/258533.258536openalex-snapshot
Some optimal inapproximability results
inferredcites →https://doi.org/10.1145/258533.258599openalex-snapshot
Approximation of k -set cover by semi-local optimization
inferredcites →https://doi.org/10.1145/258533.258600openalex-snapshot
Approximation algorithms for facility location problems (extended abstract)
inferredcites →https://doi.org/10.1145/380752.380755openalex-snapshot
Local search heuristic for k-median and facility location problems
inferredcites →https://doi.org/10.1145/513400.513402openalex-snapshot
A local search approximation algorithm for k-means clustering
inferredcites →https://doi.org/10.1145/7531.7535openalex-snapshot
Using dual approximation algorithms for scheduling problems theoretical and practical results
inferredcites →https://doi.org/10.1145/937503.937505openalex-snapshot
Metaheuristics in combinatorial optimization
inferredcites →https://doi.org/10.1287/moor.18.1.1openalex-snapshot
The Traveling Salesman Problem with Distances One and Two
inferredcites →https://doi.org/10.1287/moor.23.3.640openalex-snapshot
On Local Search for Weighted k-Set Packing
inferredcites →https://doi.org/10.1287/opre.21.2.498openalex-snapshot
An Effective Heuristic Algorithm for the Traveling-Salesman Problem
inferredcites →https://doi.org/10.1515/9780691187563openalex-snapshot
Local Search in Combinatorial Optimization
inferredcites →https://doi.org/10.2307/1907742openalex-snapshot
Assignment Problems and the Location of Economic Activities
inferredcites →https://doi.org/10.2307/j.ctv346t9copenalex-snapshot
Local Search in Combinatorial Optimization
inferredcites →https://doi.org/10.4153/cjm-1973-048-xopenalex-snapshot
Some Extremal Properties of Bipartite Subgraphs
inferredcites →https://doi.org/10.5555/313651.313687openalex-snapshot
Approximating discrete collections via local improvements
inferredcites →https://doi.org/10.5555/314464.314489openalex-snapshot
New results on the old k-opt algorithm for the TSP
inferredcites →https://doi.org/10.5555/314464.314570openalex-snapshot
Approximating maximum independent set in bounded degree graphs
inferredcites →https://doi.org/10.5555/320176.320229openalex-snapshot
Data structures for weighted matching and nearest common ancestors with linking
inferredcites →https://doi.org/10.7155/jgaa.00003openalex-snapshot
Low-degree Graph Partitioning via Local Search with Applications to Constraint Satisfaction, Max Cut, and Coloring

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Exponential size neighborhoods for makespan minimization scheduling
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Nonoblivious 2‐Opt heuristics for the traveling salesman problem
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On the Complexity of Local Search for Weighted Standard Set Problems
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Smoothed Performance Guarantees for Local Search
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Smoothed performance guarantees for local search
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Performance guarantees of local search for minsum scheduling problems
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Local search algorithms for multiple-depot vehicle routing and for multiple traveling salesman problems with proved performance guarantees
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Application of possibilistic optimization to interval-valued fuzzy numbers: supplemental diet
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Hypergraph matching for MU-MIMO user grouping in wireless LANs
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Evolutionary Tabu Inverted Ant Cellular Automata with Elitist Inertia for swarm robotics as surrogate method in surveillance task using e-Puck architecture
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Uniform unweighted set cover: The power of non-oblivious local search
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On the PLS -complexity of maximum constraint assignment
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Performance guarantee of the jump neighborhood for scheduling jobs on uniformly related machines
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Approximation performance of ant colony optimization for the TSP(1,2) problem
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Low Delay MAC Scheduling for Frequency-Agile Multi-Radio Wireless Networks
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Approximation Algorithms for Large Scale Data Analysis
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A generic bee colony optimization framework for combinatorial optimization problems
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Online test paper generation for a web-based mathematics testing environment
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Developing New Bounds for the Performance Guarantee of the Jump Neighborhood for Scheduling Jobs on Uniformly Related Machines
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