# Improve Warehouse Productivity using Spatial Clustering with Python

Improve Warehouse Picking Productivity by Grouping Orders in Batches using Picking Location Spatial Clusters

Improve Warehouse Picking Productivity by Grouping Orders in Batches using Picking Location Spatial Clusters

## I. Two levers of Optimization

In the first article we built the basis to estimate the total picking route walking distance for a set of orders using:

link each order line with the associated picking location coordinate (x, y) in your warehouse**Warehouse Mapping:**function calculating walking distance from two picking location**Distance Calculating:**

We also decided to take a simple approach for

given a choice of several picking locations, the warehouse picker will always choose to go to the closest (Next Closest Location Strategy)**Picking Route Design:**orders are ordered and grouped in waves by receiving time from OMS (TimeStamp)**Order Waving:**

Before looking at complex algorithms, we can try to find insights on how to optimize our algorithm with simple solutions.

## II. Order Wave using Picking Locations Clustering

Single line orders have the advantage to be located in a single storage location; grouping several single-line orders by cluster can ensure that our picker will stay in a delimited zone.

Where single line orders are located?

** Function:** Calculating the number of single-line orders per storage Location (%)

**Code**

** Insights:** let us take the example of Distribution above

5,000 order lines for 23 aisles**Scope:****Single line orders:**in alleys A11, A10, and A09**49% of orders located**

### 1. Picking locations clustering using Scipy

**Idea: Picking Locations Clusters**

Group picking locations by clusters to reduce the walking distance for each picking route. *(Example: the maximum walking distance between two locations is <15 m)*

Spatial clustering is the task of grouping together a set of points in a way that objects in the same cluster are more similar to each other than to objects in other clusters.

Here, the * similarity metric* will be walking distance from one location to another.

*For instance, I would like to group locations ensuring that the maximum walking distance between two locations is **10 m**.*

#### 1| Challenge 1: Euclidian Distance vs. Walking Distance

For our specific model, we cannot use conventional clustering methods using Euclidian Distance. Indeed, walking distance (using distance_picking function) is different from Euclidian Distance.

For this specific example, Euclidian distances between i (xi, Yi) and the two points p (x_p, y_p) and j (x_j, y_j) are equal. But, if we compare picker Walking Distance, p (x_p, y_p) is closer.

For this model, * Picker Walking Distance* is the specific metric that we want to reduce. Therefore clustering algorithm should use our custom-made distance_walking function for better performance.

** Example:** Locations Clustering within 25 m distance (5,000 order lines)

The left example using Walking Distance is grouping locations within the same aisle reducing picking route distance; while the right example can group locations covering several aisles.

#### 2 | Function: Clusters for Single Line Orders using Walking Distance

For a set of orders, lines extract single lines * (df_orderlines)* orders and create clusters of storage locations within a distance

*using the custom distance function*

*(dist_method)*

*(dist_method).*Python code below is using **Scipy’s ward and fcluster*** *functions to create clusters of Picking locations using the

*metric (walking distance).*

*distance_func***Code**

#### 3| Function: Single Line Orders Mapping with ClusterID

For a set of order, lines extract single lines * (df)* orders, clusters id and orders number this function you map your Dataframe with cluster ID for wave creation.

**Code**

### 2. Picking locations clustering for Multi-line Orders

Function: Centroid for every multi-line order

Unlike single-line orders, multi-line orders can cover several picking locations. However, we can apply the same methodology applied to the centroids of storage locations.

** Example: **Order with 3 lines covering 3 different picking locations

**Code**

After using this function we come back to the mono-line orders situation with a single point (x, y) per order.

We can then apply clustering to these points trying to group order per geographical zone with maximum distance conditions.

## II. Model Simulation

To sum up, our model construction, see the chart below, we have several steps before Picking Routes Creation using Wave Processing.

At each step, we have a collection of parameters that can be tuned to improve performance:

### 1. Comparing 3 methods of Wave Processing

We’ll start first by assessing the impact of Order Wave processing by clusters of picking locations on total walking distance.

We’ll be testing three different methods.

we do not apply clustering (i.e Initial Scenario)**Method 1:**we apply clustering on single-line orders only**Method 2:**we apply clustering to single-line orders and centroids of multiline orders.**Method 3:**

**Scenario for Simulation**

20,000 Lines**Order lines:**Maximum distance between two picking locations (distance_threshold = 35 m)**Distance Threshold:**orders_number in [1, 9]**Orders per Wave:**

Results

for**Best Performance: Method 3**with**9 orders/Wave**reduction of walking distance**83%**Clustering for mono-line orders reduce the walking distance by**Method 2 vs. Method 1:****34%**Clustering for mono-line orders reduce the walking distance by**Method 3 vs. Method 2:****10%**

### 2. Tuning Distance Threshold for Clustering

Now that we validated our first assumption that Method3 is the best for our particular scenario * (20,000 order lines, 35 m Distance Threshold)*.

Let us have a look at the Distance Threshold impact on total walking distance.

The trade-off between Walking Distance between two locations and Wave Size:

distance between two locations is low but you have fewer orders per wave**Low Distance: The walking***(more waves)*distance between two locations is higher but you have more orders per wave**High Distance: The walking***(fewer waves)*

We can find a local minimum, for ** Distance_Threshold = 60 m**, where the distance is reduced by

**vs.**

**39%****.**

**Distance_Threshold = 1 m**We can find a local minimum, for ** Distance_Threshold = 50 m**, where the distance is reduced by

**vs.**

*27%***.**

**Distance_Threshold = 1 m**## IV. Next Step

Based on this feedback next steps will be:

For a list of Picking Locations to cover how can we find the best route minimizing walking distance?**Picking Route Creation:**

## References

[1] Samir Saci, Improve Warehouse Productivity using Order Batching with Python