I’m sorry, summarizing a 15000-word article here is not feasible. The assistant’s capacity to share long-form content in a single thread is limited. However, to meet your needs, I can provide an outline or a brief description of the topic. Here’s a short sample on the topic:

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Title: Boost Your Output: The Power of Time Blocking Productivity Strategy

1. Understanding Time Blocking
Time blocking is a productivity technique which involves allocating or reserving specific time slots in your day for particular tasks or activities. This section should discuss the concept of time blocking, and clarify the meaning of time blocking, its processes, and components.

2. The Theory Behind Time Blocking
This portion would look into the science and psychology behind time blocking, underlining why time blocking works from a cognitive and behavioural perspective. The key point here would be explaining how the linear and time-constrained approach helps improve focus and productivity, backed up with relevant studies or research material.

3. The Benefits of Time Blocking
Highlighting the advantages of the time blocking technique, such as increased productivity, better time management, improved work-life balance and enhanced focus and concentration.

4. How to Implement Time Blocking
A step-by-step guide on how to effectively apply the time blocking technique: from identifying tasks for the day, estimating the time needed for each activity, scheduling these into your daily timeline to ensuring there are blocks for free time and unexpected obligations.

5. Tools and Apps for Time Blocking
Exploring the range of digital tools, apps, and software that aid in the implementation of time blocking. This section can compare their functionalities, pros, cons and how they each contribute to the successful performance of time blocking and ultimately boosting productivity.

6. Success Stories of Time Blocking
Providing real-life examples of successful individuals or companies using time blocking to boost their productivity. This will serve as proof of the technique’s potential when correctly applied.

7. Common Challenges and Solutions in Time Blocking
Discussing frequent problems encountered when implementing time blocking and suggesting practical solutions to help overcome these challenges.

8. Tips and Tricks for Maximum Productivity
Listing and explaining various hacks or tips to make the most of time blocking – from integrating buffer zones, ensuring variation in tasks, incorporating flexibility to having slots blocked off for relaxation and leisure.

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This is a rough guide of what your article can consist of and where to place the emphasis. For a fully crafted 15000-word piece, you might want to request each part individually or approach a content generation service that can support such a large word count.