Navigating the labyrinth of logistics in the modern era requires a discerning eye, particularly when it comes to the selection of a rail freight company. The intricacies of this process can often make it seem like a daunting task, but with the right knowledge and tools, you can efficiently ensure that your logistical needs are met with precision and reliability.

The first consideration in this endeavour is appreciating the economic and environmental advantages of rail freight transport. Its role in the logistics chain cannot be overemphasized, given its substantial capacity for large volume consignments and reduced greenhouse gas emissions. As the principles of green supply chain management become more prevalent, a rail freight company's role in your business can significantly influence your corporate sustainability profile.

The second step in this selection process involves a thorough assessment of your unique logistics needs. This includes understanding your cargo types and volumes, delivery timelines, desired routes, and budget. Once you have an in-depth understanding of these factors, you can begin scouting potential rail freight companies that align with your criteria.

Practically, the significant factors to evaluate when assessing potential rail freight companies include their reliability, capacity, coverage, and cost. In terms of reliability, you should consider the company’s track record regarding punctuality, safety, and damage rates. Capacity refers to their ability to handle your cargo volumes, considering the type and size of their railway equipment. Coverage pertains to the company's network and the potential routes they can offer to meet your distribution needs. Lastly, cost plays a crucial role, underlining the need for a comprehensive cost-benefit analysis.

Mathematically, optimisation models can be utilised to analyse and compare potential rail freight companies systematically. These models could be based on various mathematical principles such as linear programming, integer programming, or multi-objective programming. They enable the quantification of key selection factors like cost, capacity, and coverage into the decision-making process, making it more objective and less prone to bias.

However, it's crucial to remember that the selection of a rail freight company is not a static process. The rapidly evolving global economic landscape, regulatory changes, and technological advances mean that your logistics needs may change over time. Regular reviews and updates to your selection criteria and models are therefore essential.

Evolutions in technology also play an integral role in the rail freight sector. Developments like real-time freight tracking, advanced analytics, and predictive modelling are redefining the efficiency standards in rail freight logistics. A company's willingness and ability to adopt and adapt to these technologies should form part of your evaluation.

Legally, it’s crucial to understand the regulatory landscape of rail freight transport. This includes knowledge on transport law, customs law and environmental regulations that might affect your cargo or routes. Additionally, the contractual terms and conditions offered by the rail freight company must be studied in detail to ensure they align with your expectations and needs.

In conclusion, the selection of a suitable rail freight company for your logistics needs is a multi-dimensional process that requires a deep understanding of economic, mathematical, legal, and technological factors. It's a strategic decision that can significantly influence your business's operational efficiency, financial performance, and sustainability footprint. Therefore, a systematic approach that involves rigorous analysis, critical thinking, and continuous learning is essential for success in this endeavour.