Chapter 6: Tera Calculation 3_Logistics Equipment Space Calculation

Section 1: PL_Ass Calculation

Overview of Automated Pallet Warehouse (PL_Ass) Calculation

This function is a simulation tool for calculating the storage capacity of an automated pallet warehouse, the corresponding installation area, and the "virtual floor" area related to legal regulations.

1. Calculation of Storage Capacity and Installation Area

Calculation Logic for Firewalls and "Virtual Floors"

In connection with Japanese legal regulations, area calculations employ the concept of a "virtual floor" depending on the height of the automated warehouse. This significantly impacts the firewall installation standards (required every 1,500$m^2$).

Criteria for Adding Virtual Floors

Depending on the height of the racks (top surface of the highest cantilever), the virtual floor area is added as follows.

Height of the Highest Tier Treatment of Virtual Floor
Less than 5m No virtual floor
5m to less than 10m Virtual floor = Rack installation area (excluding cargo handling aisles and inspection paths)
10m to less than 15m Virtual floor = Rack installation area × 2

Determination of Firewall Installation

Benefits of Introduction and Utilization

Automated Pallet Warehouse Calculation Screen

Calculation Method and Firewalls (Virtual Floors)

Calculation Method of Storage Capacity and Virtual Floors

The storage capacity of 1 unit is Number of Rows * Number of Bays * Number of Tiers.

In the figure to the left, the storage capacity is calculated by the number of units, bays, and tiers, and the installation area is calculated automatically.

By changing the Tera Settings for rack specifications and pressing the "Calculate Start (Re)" button, the installation area is calculated reflecting those changes.

Firewalls are installed every 1500m2, but virtual floors are added for every 5m increment.

As an example:

If the top surface of the highest cantilever is less than 5m, there is no virtual floor.

If the top surface of the highest cantilever is 5m to less than 10m, Virtual floor = Rack installation area (excluding cargo handling aisles and inspection paths).

If the top surface of the highest cantilever is 10m to less than 15m, Virtual floor = Rack installation area * 2.

A firewall is required for every 1500m2 of Installed Floor + Virtual Floor.


Section 3: Electric Racks

Overview of Electric Racks (Mobile Racks)

Electric racks consist of fixed pallet racks mounted on electric carriages. By moving the carriages sideways, the system can share cargo handling aisles. This allows for a significant reduction in aisle space compared to fixed racks, increasing storage efficiency.

Structural Characteristics

Space Design and Clearance

Area calculations for electric racks reflect maintenance spaces and aisle concepts specific to the equipment.

Simulation Example of Area Efficiency

Based on the calculation example in the document (4 Rows × 5 Bays × 4 Tiers × 2 PL = 160 PL), the changes in occupied area per 1 pallet (PL) are as follows.

Condition Installation Area Area per 1 PL
When including auxiliary aisles 0.79 $m^2$/PL
When excluding auxiliary aisles 107 $m^2$ 0.67 $m^2$/PL

As shown, since the storage efficiency per pallet varies greatly depending on the aisle design, optimization through simulation is important.

Calculation Screen

For electric racks, fixed PL racks are mounted on electric carriages and moved to share cargo handling aisles.
The rack becomes taller by the 250mm height of the carriage. For the fixed PL racks mounted on the carriages, refer to the fixed PL racks in Section 2.

Electric Rack Calculation Screen

PL Dimensions and Adjacent Clearance

PL Dimensions and Adjacent Clearance

The electric rack area is recalculated reflecting the change in PL dimensions.

Auxiliary aisles are not required if they are close to the rack area. A control panel is on the back of the rack, requiring 400mm of adjacent clearance.

Required Area and Area per PL

Required Area and Area per PL

4 Rows * 5 Bays * 4 Tiers * 2 PL = 160 PL

For Electric Rack 1, the area per 1 PL is calculated as 0.79m2/PL including the auxiliary aisle area.

However, if the auxiliary aisle area is excluded, the installation area becomes 107m2, resulting in 0.67m2/PL.


Section 4: Automated Bucket Warehouse

Basic Structure of Automated Bucket Warehouse

An automated bucket warehouse is a system that performs multi-tier, high-density storage using dedicated container boxes (buckets).

⚙️ Operations and Picking Formats

Incoming and outgoing conveyors are installed at the front of the racks, where the following operations are performed.

Design Dimensions and Clearance

By changing the Tera Calculation settings, automatic calculations based on the latest designs are possible.

Example of Dimension Calculation

A standard calculation example when using a Type 51 container (width 550mm) is as follows.

Item Dimension Setting Example
Rack Width (Total) 1,910mm (Rack Depth 555mm × 2 Rows + Crane Width 800mm)
Building Adjacent Clearance 200mm (Margin between the building wall and the rack)
Inter-Unit Clearance 150mm (Spacing when arranging 2 cranes in parallel)

Rack Components

Racks are not uniform; they consist of classifications such as "First Tier," "Highest Tier," "Reinforced Tier," and "Normal Tier" depending on their structural roles, and these are also reflected in the calculations.

Calculation Screen

Automated Bucket Warehouse Calculation Screen

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Automated Bucket Warehouse Configuration

Per unit:
A transport crane travels between 2 rows of racks.

The rack is a cantilever type

Cantilever Type

Boards (cantilevers) extend from both rack pillars, and container boxes are stored straddling these boards.

The slide plate from the traveling crane cargo handling device is inserted into the rack, scoops up the bottom of the container box, and pulls it from the rack onto the traveling crane.

Container boxes of predetermined dimensions are used; containers with different dimensions cannot be stored, and even if the dimensions are the same, weak cardboard cannot be stored.

Incoming/Outgoing Conveyor and Picking

Incoming and outgoing conveyors are installed at the front of the racks, where workers perform storage and retrieval operations. Cargo handling aisles are also necessary.

There are container unit retrievals and piece picking.

In piece picking, products are picked from the retrieved container, and the container is re-stored.

Classification of Rack Structure

The rack structure
is divided into the first tier, the highest tier, reinforced tiers, and normal tiers.

By changing the Tera Setting numerical values,
calculations are performed automatically reflecting those changes.

Calculation Factors for Rack Width

The rack width is
For a Type 51 container (550mm)
Rack Depth 555mm * 2 rows + Crane Width 800mm, totaling 1910mm.

The building adjacent clearance is 200mm.
The inter-unit clearance when there are 2 cranes is 150mm.


Section 5: Automated Case Warehouse Calculation

Overview and Features of Automated Case Warehouse (SAS)

The automated case warehouse (SAS: Shuttle Automated Storage) is highly reliable logistics equipment with a track record of over 700 installations since its introduction in 1985. Recently, as patent restrictions have expired, many logistics manufacturers have begun selling it, drawing renewed attention.

1. Advanced Sorting and Sequencing Functions

2. Overwhelming Storage and Retrieval Capacity

Because high-speed traveling carriages (shuttles) move independently on each tier of the racks, it demonstrates capacity surpassing conventional systems.

3. Dramatic Improvement in Work Efficiency (Picking Comparison)

Compared to manual labor, picking speed accelerates significantly at the SAS retrieval station.

Efficiency for Low-Liquidity Destinations/Items

The SAS solves at once the challenges of the "low-liquidity" (infrequently shipped) areas, which are the most difficult to mechanize and the most labor-intensive in a distribution center.

Continuous Mixed Work of Cases and Pieces

Design Dimensions and Practical Considerations

Tera Calculation enables highly accurate simulations reflecting the following numerical values.

Below, low-liquidity destinations and low-liquidity items in the red frame are placed in the automated case warehouse, and shipped mixed by destination.

Mixed Shipping of Low-Liquidity Goods

Calculation Screen

Automated Case Warehouse Calculation Screen

Case Packaging and Storage Capacity

Case Packaging and Storage Capacity

The calculation of the number of stored cases is based on fixed conditions because any case with a length, width, and height between 150-600 can be stored.
Under the conditions in the table to the left, the storage capacity of 1 unit (2 Rows * 15 Bays * 13 Tiers) is 2,000 cases.

Please change the Tera Settings in the left table to verify the changes in storage capacity.

Operation of Automated Case Warehouse

Automated Case Warehouse Operation Animation

Incoming cases are transferred from the internal conveyor,
transported to the rack slot, and stored in the rack.

Moves to the rack slot containing the case to be retrieved, transfers the case,
transports and unloads the case onto the internal rack conveyor,
and transfers it to the external retrieval conveyor via a vertical conveyor.

The above storage and retrieval can be performed 50-60 times per hour.

Planar Layout

Planar Layout

Incoming and outgoing conveyors can be installed at the front and back of the case racks. (The layout above is front only.)
Walkways are installed at 2000mm height intervals, making retrieval possible during trouble stoppages.
Calculated assuming a virtual floor exists for every 5m exceeded by the highest tier.

Traveling Carriages, Rack Slot Height/Width, and Number of Stored Cases

Slot pitch 2710mm, number of stored cases per slot:
6 cases for a 300mm wide case, 5 cases for a 400mm wide case, 4 cases for a 500mm wide case, 3 cases for a 600mm wide case.

Slots and Number of Stored Cases

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Traveling Carriage and Rails

The traveling carriage structure overhangs below the rails, so pay attention to the dimensional arrangements between slots with walkways and those without.

Tera Settings can be modified.


Section 6: Flow Rack Calculation

Basic Structure and Calculation of Flow Racks

Flow racks are structured so that cargo received from the back flows forward (to the retrieval side) due to an incline; these racks are suited for First-In, First-Out (FIFO).

⚙️ Picking Efficiency and Operational Considerations

In designing flow racks, it is important to consider the attributes of the workers (such as height) and picking frequency.

Design Dimensions (Clearance)

Calculation Screen

Flow Rack Calculation Screen

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Flow Rack Structure

Number of Racks = Number of Rows * Number of Bays
Flow racks consist of single racks and add-on racks
(Add-on racks share pillars with adjacent racks).

Since cases of various dimensions are temporarily stored in a fixed rack width, the rack fill rate is inferred to be very poor.

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Worker Height and Rack Height Number of Tiers in Flow Racks and Efficiency

Because the top tier is difficult to reach, it stores products with infrequent retrieval.
Usually, women do the picking, so it is necessary to either provide a step stool or
lower the top tier to suit women.

Changing a 4-tier rack to 3 tiers results in a 25% decrease, making it a difficult choice between prioritizing picking efficiency or storage.

Adjacent clearance to the building is 100mm.


Section 7: Medium-Duty Rack Calculation

Basic Specifications and Area Calculation for Medium-Duty Racks

The installation area for medium-duty racks is automatically calculated by setting the rack's specific dimensional specifications (width, depth, height) along with the number of rows and bays to be placed.

⚙️ Rack Fill Rate and Item Management

To maximize the storage capacity of medium-duty racks, flexible slot design corresponding to item size is important.

Simulation of Inventory Days and Replenishment Cycles

In Tera Calculation, inventory days on medium-duty racks can be calculated based on inventory volume estimation calculations.

Calculation Example

When simulating under the following conditions, the inventory days that can be held on medium-duty racks is 14 days' worth.

Practical Point: Considering the workload of replenishing from the inventory area to the medium-duty racks (operation area), it is ideal to design the operation area to hold 20 days or more worth of inventory.

Estimation of Item Composition (Calculation Based on Empirical Values)

Estimates the dispersion status of items between the inventory area and the operation area according to shipping frequency (Rank B, C, D items).

Calculation Screen

Medium-Duty Rack Calculation Screen

After setting the medium-duty rack specifications, number of rows, and number of bays, the installation area is calculated.

Rack Specifications, Number of Rows, and Number of Bays

Rack Specifications and Settings

Rack Width: selectable from 1800, 2100, 2400
Rack Depth: selectable from 300, 450, 600, 900
Rack Height: selectable from 1800, 2100, 2400
Number of Tiers: selectable from 3, 4, 5, 6
Rack Slots: selectable from 2, 3, 4, 5, 6, 7, 8

Rack Slots

Concept of Rack Slots

The number of stored items for medium-duty racks is determined by how many items are stored on one rack tier. Because the slots do not need to be equally spaced, combining small-volume items with large-volume items improves the rack fill rate.

Target items for storage are dispersed and managed in two locations: the inventory storage area and the shipping space area where medium-duty racks are installed.

When the target is 1000 items:
Center Inventory Days = 40 days, Center Inventory Volume = 100m3
Effective Medium-Duty Rack Storage Volume = 50m3, Rack Fill Rate = 70%
When Effective Medium-Duty Rack Storage Volume = 35m3
Medium-Duty Rack Inventory Days = (35m3 / 100m3) * 40 Days = 14 Days
The Inventory Storage Area is 26 days. The Shipping Operation Area is 14 days.

Considering the workload of replenishing from the inventory area to the shipping operation area, the shipping operation area (medium-duty racks) ideally should hold an inventory of 20 days or more.

Then, during the above calculation, what is the item count composition between the inventory storage area and the shipping operation area?

Number of items in the operation area is 1000 items
Number of items in the inventory storage area is 790 items

For the inventory storage area:
Number of Reduced Items = (Medium-duty rack inventory days / Center inventory days) * Number of items * 0.6
Number of Reduced Items = (14 / 20) * 1000 * 0.6 = 210
The above calculation is an example based on empirical values.

While automated warehouses and fixed PL rack heights exceed 3000mm and thus have an adjacent clearance of 200mm, the heights of flow racks and medium-duty racks are under 3000mm, so an adjacent clearance of 100mm is sufficient.

The total center inventory volume is obtained from the table below.

Total Center Inventory Volume

The table to the left is derived from inventory volume estimation calculations.

The target items for medium-duty racks are B_Piece_I_B, B_Piece_I_C, B_Piece_I_D.

For how to read the table, refer to the inventory volume estimation calculations.


Section 8: Sorting Machine Calculation

Basic Configuration and Dimension Calculation of Sorters

The overall dimensions of a sorting machine are broadly calculated as the sum of 3 sections: the "Infeed Section," the "Intermediate Section," and the "Drive Section."

⚙️ Layout Design and Space Management

After the dimensions of the sorter itself are finalized, verify interference with the building and other equipment, and calculate the incidental space necessary for operations.

Benefits of Introduction and Utilization

Calculation Screen

Sorting Machine Calculation Screen

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Configuration of Sorting Machine

The sorting machine is divided into the infeed section (front), the intermediate section, and the drive section (rear) for calculation.

Sorter Width = Front + (Intermediate Section * Number of Intermediate Chutes) + Rear.

The dimensions between chutes and the length of the chutes are determined by the installation dimensions of the roll cages.

After confirming the dimensions of the sorter machine itself, calculate the product staging space by looking at the margin space and arrangements with the building and other equipment.

Sorting Machine Calculation Settings

Please change the Tera Setting values and observe the changes in the installation area.


Section 9: Manual Sorting Calculation

Overview of Manual Sorting Calculation

Manual sorting is a common method performed in cases where dedicated automated equipment is not introduced, or in workplaces requiring effective use of space. The installation area fluctuates based on the following factors.

⚙️ Operational Characteristics and Targets

Manual sorting is flexibly performed by utilizing dead space or multi-purpose spaces within the distribution center.

Points for Efficiency

Operational ingenuity is effective for saving space and shortening work flow lines.

Calculation Screen

Manual Sorting Calculation Screen

The installation area changes depending on the roll cage dimensions, sorting aisles, and the number of destinations.

Manual Sorting Image

Manual Sorting Work Image

Manual sorting is often performed in infrequently used aisles or shipping staging spaces.

The target for sorting is case shipping, intended for in-house and dedicated fleets. Courier services do not require sorting as you simply affix shipping labels to the cases and transport them to the courier's area.

Also, if the worker who retrieved the goods from the inventory area performs the sorting directly, the necessity for a sorting staging area is eliminated.


Section 10: Inspection and Packing Calculation

Two Models for Inspection and Packing Calculation

The area is calculated using two approaches, depending on the strictness of the work and the degree of automation.

  1. Inspection & Packing Calculation 1 (100% Inspection Assumed): A standard work model where inspection and packing are performed for all shipped goods.
  2. Inspection & Packing Calculation 2 (Inspection-Less Assumed): Assumes a streamlined "inspection-less" flow, based on the Distribution Center Scale Calculation (Tera Calculation 2 Automatic).

⚙️ Item 1: Inspection & Packing Calculation 1 (Standard Model)

In this model, the required number of work sets and the area are derived based on the number of workers and processing capacity.

Work Configuration and Concept of Area Calculation

Calculation Simulation Example

A calculation example for inspecting 20,000 piece products per hour is as follows.

Item Numerical Value
Inspection Time per 1 Piece 2 seconds
Capacity of 1 Set (4 people) 7,200 pieces per hour ($3600 \text{ sec} / 0.5 \text{ sec}$)
Required Number of Sets 3 Sets ($20,000 / 7,200 = 2.77 \dots$)
Total Required Area 39 $m^2$ ($13 m^2 \times 3 \text{ Sets}$)

Item 2: Inspection & Packing Calculation 2 (Inspection-Less Model)

This is a model that optimizes workspace and flow lines by simplifying or automating the inspection process.

Item 2: Inspection & Packing Calculation 2

Inspection and Packing Calculation 2

Inspection & Packing Calculation 2 Image

Inspection and Packing Calculation 2 Image

Photo Description
Inspection & Packing Calculation 1 assumes 100% inspection and packing work, while Inspection & Packing Calculation 2 assumes the inspection-less work adopted in Tera Calculation (Distribution Center Scale Calculation).

For inspection-less operations, refer to "Chapter 4, Tera Calculation 2 Automatic Distribution Center Scale Calculation, Item 7: Flowchart for Inspection/Packing Piece Pic".

Item 1: Inspection & Packing Calculation 1

Inspection and Packing Calculation 1 Screen

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Inspection System

Assumes the work of 4 inspection workers and 1 assistant.

Workspace increases or decreases depending on roll cage dimensions and operation methods.

Calculation Example:
Inspecting 20,000 pieces per hour
Inspecting at 2 seconds per piece,
With 1 set of 4 people, it is possible to inspect at 0.5 seconds per piece,
The hourly processing capacity per set = 3600 / 0.5 = 7,200 pieces.

Required number of sets = 20000 / 7200 = 2.8 sets => 3 sets

The required area is 13m2 * 3 sets = 39m2.

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Operation Photo

Photo description

Area Calculation for Multiple Sets

Area of Multiple Set Placement

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