
Approximation and Online Algorithms
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Content
- Title Page
- Preface
- Organization
- Table of Contents
- Approximation Algorithms for Schedulingand Packing Problems
- Introduction
- Scheduling with Fixed Jobs
- Related Results
- New Results
- 2D Strip Packing
- Related Work
- New Results
- Multiple Knapsack Problem
- Known Results
- New Results
- Scheduling on Uniform Processors
- Known Results
- New Results
- References
- Approximating Subset $k$ -Connectivity Problems
- Introduction
- Proof of Theorem 1
- Proof of Theorem 2
- Proof of Theorem 3
- References
- Learning in Stochastic Machine Scheduling
- Introduction
- Preliminaries and Scheduling Policies
- Bayesian Methodology
- Bayesian Scheduling Policies
- Bounds on Scheduling Policies
- Upper Bound on Performance Guarantees
- Tightness of the Performance Guarantees
- Lower Bound on the Performance Guarantee of SEPT
- Lower Bound on the Performance Guarantee of -SEPT
- Computational Results
- Concluding Remarks
- References
- An Online Algorithm Optimally Self-tuning to Congestion for Power Management Problems
- Introduction
- Problem Statement
- Our Algorithm
- Decrease and Reset Algorithm (DRA)
- How to Set the Coefficients for ``Optimality
- Queueing Analysis
- Analysis
- Numerical Examples
- Conclusions
- References
- Single Approximation for Biobjective Max TSP
- Introduction
- Preliminaries
- Non Existence of a Single -Approximate Solution
- A Generic Algorithm for Biobjective Max TSP
- An Improved Analysis
- Future Work
- References
- Parameterized Approximation Algorithms for Hitting Set
- Introduction
- A Simple Design for Parameterized Approximation
- A Simple Branching for Approximation
- A More Elaborated Analysis of a Factor-2 Approximation Algorithm for 3-HS
- Approximating 3-HS with Degree Constraints
- Further Questions
- References
- Approximation Algorithmsfor the Maximum Leaf Spanning Tree Problem on Acyclic Digraphs
- Introduction
- Indegree-Based Algorithm
- Expansion Algorithm
- Expansion Algorithm for Undirected Graphs
- Expansion Algorithm for Acyclic Digraphs
- Performance Guarantee
- Tight Example
- MaxSNP-Hardness
- Concluding Remarks
- References
- Optimization over Integers with Robustness in Cost and Few Constraints
- Introduction
- Uncertainty in the Objective
- Uncertainty in Constraints
- Applications
- References
- A Lower Bound on Deterministic Online Algorithms for Scheduling on Related Machines without Preemption
- Introduction
- Lower Bound
- Conclusions
- References
- Scheduling Jobs on Identical and Uniform Processors Revisited
- Introduction
- Bounds for max-Gap(A) and the Running-Time
- Scheduling on Uniform Processors
- Algorithm for Case 3
- References
- Approximation Algorithms for Fragmenting a Graph against a Stochastically-Located Threat
- Introduction
- 2-Stage Stochastic Graph Protection Problem in Trees
- 1-Stage Extension to Probabilistic Edge Transmission
- References
- Non-clairvoyant Weighted Flow Time Scheduling on Different Multi-processor Models
- Introduction
- Formal Problem Definitions
- Analyzing WLAPS for Homogeneous Processors
- Restricting the Input Instance
- A Lower Bound on WOpt
- Potential Function Analysis
- An O(1)-Competitive Algorithm for Two Functionality Types
- Restricting the Input Instance
- A Lower Bound of Opt
- Potential Function Analysis
- A Better Competitive Algorithm with $m_1 = m_ 2 = 1$
- References
- A New Perspective on List Update: Probabilistic Locality and Working Set
- Introduction
- List Update with Locality of Reference
- Working Set Property for List Update
- Experimental Results
- Conclusions
- References
- OnlineMin: A Fast Strongly Competitive Randomized Paging Algorithm
- Introduction
- Randomized Selection Process
- Preliminaries
- Selection Process for OnlineMin
- Probability Distribution of Ck
- Algorithm OnlineMin
- Algorithm
- Algorithm Implementation
- Data Structures
- References
- Faster and Simpler Approximation of Stable Matchings
- Introduction
- Algorithm
- Description of Algorithm GS Modified
- Correctness of Algorithm GS Modified
- Extension to Stable b-Matchings
- Data Structures and Running Time
- Correctness of Algorithm ASBM
- References
- Simpler 3/4-Approximation Algorithms for MAX SAT
- Introduction
- Analysis with a Potential Function
- Poloczek and Schnitger's Potential Function
- A New Combinatorial Randomized Algorithm
- A New Deterministic LP Rounding Algorithm
- Conclusion and Future Directions
- References
- On Online Algorithms with Advice for the $k$ -Server Problem
- Introduction
- Preliminaries
- An Upper Bound for General Metric Spaces
- $k$ -Server with Advice on Trees
- Non-lazy Optimum
- The Algorithm
- Special Metric Spaces and PATH-COVER
- Conclusions
- References
- Improved Lower Bound for Online Strip Packing
- Introduction
- Sequence Construction
- Lower Bound
- Upper Bound
- References
- Competitive Router Scheduling with Structured Data
- Introduction
- Preliminaries
- Models
- Algorithm
- Multiple Capacitated Links
- Analysis of Algorithm PLink
- A Lower Bound
- The Effect of Many Links and Large Capacity
- Extensions
- Effective Redundancy
- Multiple Service Levels
- Instantaneous Network Model
- References
- Approximation with a Fixed Number of Solutions of Some Biobjective Maximization Problems
- Introduction
- Preliminaries on Multi-objective Optimization and Approximation
- Approximation with a Given Number of Solutions
- Max Pos NAE
- Max Partition
- Max Matching
- Approximation with One Solution
- Max Bisection
- Conclusion
- References
- Generalized Maximum Flows over Time
- Introduction
- Preliminaries
- Complexity and Hardness of Approximation
- Lossy Networks
- Proportional Losses
- A Variant of the Successive Shortest Path Algorithm
- Turning the Algorithm into an FPTAS
- Conclusion
- References
- The Price of Anarchy for Minsum Related Machine Scheduling
- Introduction
- Characterization of Optimal Solutions
- Coordination Mechanism and Nash Equilibria
- Upper Bound on the Price of Anarchy
- Lower Bound on the Price of Anarchy
- Concluding Remarks
- References
- Author Index
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