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Unlocking Mobility Expense Optimization: A Manager's Guide to Linear Programming

  • Akira Oyama
  • Jun 8, 2023
  • 3 min read


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Introduction:


In today's hyper-connected world, managing mobility expenses presents a complex challenge for many businesses. Whether you're a small firm with a handful of devices or a sprawling enterprise with tens of thousands, the costs can easily escalate if not managed effectively. As a manager responsible for these expenses, you may have grappled with questions like: How can I distribute data among users to avoid overage charges? Should I move high-usage users to unlimited plans? How can I make swift and accurate decisions about each subscriber's plan to keep costs to a minimum?


If these challenges sound familiar, you're not alone. But there's a good news: Linear Programming can offer a powerful and efficient solution.


The Challenge:


For businesses using 'pooled' or 'shared' mobile data plans, managing mobility expenses can feel like solving a complex puzzle. These plans allow multiple devices to share a collective data cap, and as long as the total usage stays under this cap, there are no overage charges. This pricing structure, however, creates a dilemma: balancing high-usage users with distributing data among several users.


The complexity doesn't stop there. Some carriers allow changes to each subscriber's plan before the end of a usage period, adding another layer of decision-making. As a result, making quick and accurate assessments of the optimal plan for each subscriber becomes not just a convenience, but a financial necessity.


Enter Linear Programming:


Linear programming is a mathematical method used to find the best possible outcome in a given situation. It's about optimizing something - in our case, mobility expense - subject to constraints like data usage limits and client-specific needs.


Previously, you might have relied on spreadsheets and manual calculations to tackle these challenges. But this approach can be time-consuming, error-prone, and often leads to suboptimal outcomes. However, with linear programming, you can transform this process, achieving optimal solutions in a fraction of the time.


The power of Linear Programming:


By representing your mobility expense optimization problem as a linear programming model, you can identify the most cost-effective distribution of data across all users while adhering to the constraints of your shared plans.


This is achieved by modeling the problem with linear equations and inequalities that represent the cost of each plan, the data usage of each user, and the total data cap of your shared plan. Linear programming then seeks to minimize (or maximize) a particular quantity - in this case, the total cost of your mobile plans.


What's remarkable about linear programming is its efficiency. Once the model is set up, the solution can be computed in a fraction of the time compared to traditional manual methods. This rapid turnaround means you can respond to changes in data usage or carrier plan options more swiftly, ensuring your decisions are always based on the most current data.


Reaping the Benefits:


Using linear programming for mobility expense optimization brings significant benefits. For starters, it reduces the time spent on decision-making from hours to mere minutes. This time saving not only makes your team more efficient, but also allows them to focus on other important tasks.


In addition to time savings, the precision of linear programming eliminates errors that can arise from manual calculations or subjective decision-making. By employing a scientific approach grounded in mathematical optimization, you can be confident that the solutions provided are truly optimal.


And there's more. The speed and accuracy of linear programming mean you can manage more mobile providers and larger data pools without increasing your team size. This scalability allows for more cost savings without proportional increase in overheads.


Conclusion:


Linear programming might sound like a complex concept, but implementing it doesn't have to be. With the right tools and mindset, you can transform your approach to managing mobility expenses and start reaping the benefits today.

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