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Weighted Moving Average

Weighted Moving Average Calculator

The Weighted Moving Average (WMA) formula:

WMA = (w1 * D1 + w2 * D2 + ... + wn * Dn) / (w1 + w2 + ... + wn)

where:

  • D1, D2, ..., Dn = Demand values for each period
  • w1, w2, ..., wn = Weight values for each period

Weighted Moving Average Calculator

Weighted Moving Average (WMA) Calculator

The Weighted Moving Average (WMA) calculator is a powerful tool that helps you analyze and forecast demand patterns for your products or services. Unlike the simple Moving Average, the WMA assigns different weights to each data point, providing greater flexibility in capturing the importance of recent or specific periods in the demand analysis.

How to Use the Calculator

  1. Enter Demand Values: Begin by entering the historical demand values for your product or service. Input the demand values separated by commas in the “Demand values” field. For instance, if you have monthly demand data for the past year, you would enter the respective values, such as 100, 120, 110, and so on.
  2. Specify Weight Values: Assign weight values to each period according to their significance in the demand analysis. Input the weight values separated by commas in the “Weight values” field. Ensure that the number of weight values matches the number of demand values. The weights can be based on factors such as seasonality, business priorities, or expert judgment.
  3. Calculate WMA: Click on the “Calculate WMA” button to obtain the Weighted Moving Average. The calculator will perform the necessary calculations based on your input and display the result in the table below.

Interpretation of Results

The resulting Weighted Moving Average (WMA) represents the weighted average of demand over the specified periods. The WMA gives more emphasis to recent or important periods by assigning higher weights, providing a more dynamic and adaptable analysis of the demand pattern.

By calculating the WMA, you gain insights into the overall demand trend while accounting for specific factors that influence your business. This information can guide inventory planning, production scheduling, and decision-making processes related to resource allocation and capacity management.

Example 1:

Let’s consider a scenario where you have collected monthly demand data for a specific product over the past six months: 120, 110, 130, 140, 125, and 135. You want to calculate the Weighted Moving Average, assigning higher importance to the more recent months.

  1. Enter the demand values: 120, 110, 130, 140, 125, 135.
  2. Specify the weight values: 1, 1, 2, 3, 2, 1.
  3. Click “Calculate WMA.”

The calculator will determine the Weighted Moving Average as follows:
((120 * 1) + (110 * 1) + (130 * 2) + (140 * 3) + (125 * 2) + (135 * 1)) / (1 + 1 + 2 + 3 + 2 + 1) = 130.6

The Weighted Moving Average (WMA) is approximately 130.6. This value represents the average demand over the specified periods, with higher weights given to the more recent months. It provides a more accurate understanding of the current demand trend and assists in making informed decisions related to inventory management and production planning.

Example 2:

Suppose you have weekly demand data for a particular item for the past eight weeks: 50, 60, 45, 70, 55, 50, 65, and 60. In this case, you want to assign equal weights to all periods.

  1. Enter the demand values: 50, 60, 45, 70, 55, 50, 65, 60.
  2. Specify the weight values: 1, 1, 1, 1, 1, 1, 1, 1.
  3. Click “Calculate WMA.

The calculator will calculate the Weighted Moving Average as follows:
((50 * 1) + (60 * 1) + (45 * 1) + (70 * 1) + (55 * 1) + (50 * 1) + (65 * 1) + (60 * 1)) / (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) = 56.25

The Weighted Moving Average (WMA) is approximately 56.25. This value represents the average demand over the specified weeks, with equal weights assigned to each period. It provides a balanced view of the demand pattern without giving extra importance to any specific week. This information can be valuable in detecting overall trends and smoothing out short-term fluctuations in demand.

The Weighted Moving Average (WMA) calculator allows you to adjust the weights based on your business requirements and expertise. By experimenting with different weight allocations, you can fine-tune the analysis to align with your specific industry, market dynamics, or seasonal variations.

Please note that the Weighted Moving Average (WMA) is a valuable forecasting technique; however, it should be used in conjunction with other forecasting methods and consider additional factors like market trends, customer behavior, and external influences to enhance the accuracy of demand predictions.

Use this powerful calculator to gain insights into your demand patterns and make informed decisions regarding inventory management, production planning, and resource allocation. Regularly analyzing and updating your weighted moving averages can lead to improved operational efficiency and better responsiveness to market dynamics.

Start using the Weighted Moving Average (WMA) calculator today and unlock the potential to optimize your business’s demand forecasting and planning processes.


Feel free to modify the above explanation as per your requirements, and make sure to provide clear instructions and examples that cater to your specific industry or business context.

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