# Optimization Techniques for Design Problems in Selected Areas in WSNs: A Tutorial
## 3 Optimization in WSN Design Problems  
* 7 Routing for Multi-hop WSNs with a Single Immobile Sink
\t* 7.1 System Model and Design Objectives
\t* 7.2 Initial Optimization Problem Formulation
\t* 7.3 Reformulation
\t* 7.4 Solution Methods
\t\t* 7.4.1 A partially Distributed Algorithm
\t\t* 7.4.2 A fully Distributed Algorithm
\t* 7.5 Important Results
\t* 7.6 Discussions of the Results
* 8 Routing in a delay-tolerant WSN to a Single Mobile Sink
\t* 8.1 System Model and Design Objectives
\t* 8.2 Initial Optimization Problem Formulation
\t* 8.3 Comments on the Problem Formulation
\t* 8.4 Reformulation for the Optimization Problem Formulation
\t* 8.5 Solution Method
\t* 8.6 Important Results
* 9 Joint Routing, Power and Bandwidth Allocation in FDMA WSNs
\t* 9.1 System Model and Design Objectives
\t* 9.2 Optimization Problem Formulation
\t* 9.3 Reformulation: Distributed Global Consensus Problem
\t* 9.4 Solution Method
\t* 9.5 A Reference Algorithm
\t* 9.6 The Obtained Results
* 10 Routing and Energy Allocation in Rechargeable WSNs with Multiple Sources and Destinations
\t* 10.1 System Model and Design Objectives and Considerations
\t* 10.2 Problem Formulation
\t* 10.3 Comments on the Problem Formulation
\t* 10.4 Solution Method
\t* 10.5 Comments and Observations on the Solution Technique
\t* 10.6 Comments on the Experiments and Results
* 11 Routing in Multi-hop Single Immobile Sink for Different Objectives under Distance Uncertainties
\t* 11.1 Problem Statement and Design Objectives
\t* 11.2 Formulations for the Three Problems
\t* 11.3 Accounting for Uncertainties in the Formulation
\t* 11.4 Important Results
* 12 Joint Routing and Scheduling in WSNs with Multiple Sinks having Different Location Possibilities
\t* 12.1 System Model and Design Objectives
\t* 12.2 Initial Problem Formulation: Time Based Formulation
\t* 12.3 Reformulation: Pattern Based Formulation
\t* 12.4 Solution Method: Column Generation Method
\t* 12.5 Important Results
* 13 Delay-Sensitive Routing in Underwater WSNs
\t* 13.1 System Model and Design Objectives
\t* 13.2 Initial Problem Formulation
\t* 13.3 Comments on the Initial Problem Formulation
\t* 13.4 Reformulation
\t* 13.5 Comments on Reformulation
\t* 13.6 The Solution Method in and Our Comments on it
* 14 Using Mobile Radio Frequency (RF) Power Charger to Charge the Batteries of Sensors in a WSN
\t* 14.1 System Model and Design Objectives
\t* 14.2 Problem Formulation
\t* 14.3 Solution Method
\t* 14.4 Observations and Comments on the Problem Formulation, Solution Method and Experiments
* 15 Assignment of Processing Tasks Across Nodes in a WSN
\t* 15.1 System Model and Design Objectives
\t* 15.2 Initial Optimization Problem Formulation
\t* 15.3 Solution Method
\t* 15.4 Comments on the Solution Method
* 16 Hierarchical Clustering in a Heterogeneous Network
\t* 16.1 System Model and Design Objectives
\t* 16.2 Problem Formulation
\t* 16.3 Solution Method
\t* 16.4 Comments on the Solution Method
* 17 Energy Efficient Co-Operative Broadcasting at the Symbol Level
\t* 17.1 System Model and Design Objectives
\t* 17.2 Optimization Problem Formulation
\t* 17.3 Comments on the Optimization Problem Formulation
\t* 17.4 Optimal Solution Method and Our Related Comments
\t* 17.5 Suboptimal Solution Method: A Heuristic Technique
\t* 17.6 Important Numerical Results
\t* 17.7 Comments on the Solution Methods and Their Related Experiments
* 18 Dispatching of Mobile Sensor Nodes in a WSN to Sense a Region of Interest
\t* 18.1 System Model and Design Objectives
\t* 18.2 Problem Formulation
\t* 18.3 Solution Method: Centralized
\t* 18.4 Solution Method: Distributed
\t* 18.5 Comments on the Solution Methods
* 19 Fusion of Delay Sensitive Noise Perturbed Data Sensed by Different Nodes in a Given Cluster
\t* 19.1 System Model and Design Objectives
\t* 19.2 Optimization Problem Formulation
\t* 19.3 Comments on the Formulation
\t* 19.4 Solution Method: Heuristic scheme
\t* 19.5 Comments on the Solution Methods
* 20 Energy Optimization in Wireless Visual Sensor Networks While Maintaining Image Quality
\t* 20.1 System Model
\t* 20.2 Formulation
\t* 20.3 Solution
* 21 Conclusions