Multi-variety four-way vehicle three-dimensional garage out-of-garage distribution method and system

Abstract

The invention relates to the technical field of warehousing, in particular to a warehouse-out distribution method and system for a multi-variety four-way vehicle three-dimensional warehouse. The method comprises the steps of obtaining target material information according to order information; determining a warehouse-out mode according to the target material information; and generating a warehouse-out instruction according to the warehouse-out mode. According to the invention, the target material information is obtained according to the order information, the target material information is processed into the formula number of the target material and the batch number of the target material, the warehouse-out mode is determined according to the target material information, and the warehouse-out instruction is produced. According to the ex-warehouse distribution method, the ex-warehouse instruction can be quickly, orderly and efficiently generated under the scenes of multiple varieties, multiple batches and few batches, operation of the four-way trolley is better facilitated, the travel path of the trolley is reduced, the avoidance waiting time is shortened, and the ex-warehouse efficiency is improved.

Description

Technical Field

[0001] The invention relates to the field of warehousing technology, and in particular to a method and system for allocating multiple varieties of four-way vehicles out of a stereoscopic warehouse. Background Art

[0002] Four-way vehicle stereoscopic warehouses are generally used for dense storage of materials with small varieties, small batches and large quantities, and are widely used in logistics and warehousing.

[0003] The cargo space allocation method refers to the method of allocating goods to designated storage locations to achieve efficient warehouse management and fast storage and retrieval of goods. In a four-way vehicle stereoscopic warehouse, the rationality of the cargo space allocation method directly affects the efficiency of four-way vehicle entry and exit and the quality of inventory management. The common cargo space allocation methods in the industry mainly include strategies such as incremental allocation by entry layer, incremental allocation by column, and equal allocation by aisle. The exit includes first-in-first-out, whole pallet priority, and loose pallet priority. These methods have their own advantages and disadvantages and cannot solve the efficiency requirements of four-way vehicle entry and exit in special scenarios. Summary of the invention

[0004] Other features and advantages of the present invention will be described in the following description, and partly become apparent from the description, or be understood by implementing the present invention. The purpose and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the description and other drawings of the description.

[0005] The purpose of the present invention is to overcome the above-mentioned shortcomings and provide a method and system for allocating outbound shipments from a stereoscopic warehouse for a multi-variety four-way vehicle. The present invention obtains target material information based on order information, and processes the target material information into the formula number of the target material and the batch number of the target material, and then determines the outbound shipment mode and generates outbound shipment instructions based on the target material information. The outbound shipment allocation method of the present invention can also generate outbound shipment instructions quickly, orderly, and efficiently in scenarios with multiple varieties, multiple batches, and small batches, which is more conducive to the operation of the four-way trolley, reduces the trolley travel path, avoids waiting time, and improves outbound shipment efficiency.

[0006] To achieve the above purpose, the technical solution of the present invention is: a method for distributing multiple types of four-way vehicles out of a three-dimensional warehouse, comprising:

[0007] Acquisition of target material information: Acquisition of target material information based on order information;

[0008] Determination of the outbound delivery mode: Determine the outbound delivery mode based on the target material information;

[0009] Generation of outbound instructions: Generate outbound instructions according to the outbound mode;

[0010] in,

[0011] The target material information includes the formula number of the target material and the batch number of the target material;

[0012] The delivery modes include delivery by formula number and delivery by batch number.

[0013] The present invention obtains target material information according to order information, processes the target material information into the target material's formula number and the target material's batch number, and then determines the outbound mode and generates outbound instructions according to the target material information. The outbound allocation method of the present invention can also generate outbound instructions quickly, orderly, and efficiently in scenarios with multiple varieties, multiple batches, and small batches, which is more conducive to the operation of the four-way trolley, reduces the trolley's travel path, avoids waiting time, and improves outbound efficiency.

[0014] In some embodiments, a dispatch instruction is generated according to the dispatch mode, specifically, if the dispatch mode is dispatch by recipe number, a dispatch instruction by recipe number is generated; if the dispatch mode is dispatch by batch number, a dispatch instruction by batch number is generated. The present invention can perform dispatch allocation in different ways according to different dispatch modes, and has strong adaptability and a wide range of applications.

[0015] In some embodiments, if the delivery mode is delivery by batch number, a delivery instruction by batch number is generated, including:

[0016] Determine whether the target material is from the same customer. If so, proceed to the next step. If not, perform outbound allocation according to the route allocation principle.

[0017] Determine whether the target material has priority for bulk trays. If so, distribute the materials out of the warehouse according to the priority principle of bulk trays; if not, distribute the materials out of the warehouse according to the first-in-first-out principle and the equal distribution principle.

[0018] The present invention can select different outbound distribution methods according to different customers. For the target materials of the same customer, the outbound delivery can be carried out in bulk or according to the first-in-first-out and equal distribution principle.

[0019] In some embodiments, the batch first-in-first-out principle includes

[0020] Classify and sum the target materials.

[0021] Arrange the inventory materials in ascending order according to batches to form an inventory material set, and obtain the outbound port based on the inventory material set;

[0022] Determine the proposed partition area based on the target material, and judge whether the proposed partition area needs to be transferred. If so, make outbound allocation according to the transfer. If not, make outbound allocation directly.

[0023] In some embodiments, transferring a library includes

[0024] Get the cargo layer position, sub-channel position, and column position of the transferred material;

[0025] Determine whether the subchannel is in queue mode. If so, generate a transfer instruction based on the column position of the transfer material. If not, proceed to the next step.

[0026] Determine whether the subchannel is a left-advanced stack. If so, generate a left-column shift instruction. If not, execute the next step.

[0027] Determine whether the subchannel is a right-push stack. If so, generate a right column shift instruction.

[0028] In some embodiments, the equal sharing principle includes

[0029] Sort inventory materials by layer and region.

[0030] The target material and the inventory material are matched layer by layer and judged whether they match. If they do not match, the matching is continued layer by layer. If they match, the target material and the inventory material are matched area by area and judged whether they match. If they do not match, the matching is continued area by area. If they match, the outbound allocation is carried out.

[0031] In some embodiments, the route allocation principle is specifically:

[0032] Calculate the distance disn from the target material to the delivery port corresponding to customer N (N = 1, 2, ..., n),

[0033] Determine customer 1 as the priority outbound customer, and the distance from the target material corresponding to customer 1 to the outbound port is dis1;

[0034] Compare the distance disn from the target material to the delivery port corresponding to customer N (N=1, 2, ..., n) with the distance dis1 from the target material to the delivery port corresponding to customer 1, where customer 1 is the priority delivery customer, and make delivery allocation based on the comparison result.

[0035] The present invention also provides a multi-variety four-way vehicle stereoscopic warehouse outbound distribution system, including a target material information acquisition module, an outbound mode determination module, and an outbound instruction generation module. The target material information acquisition module is used to acquire target material information according to order information; the outbound mode determination module is used to acquire target material information according to order information; the outbound instruction generation module is used to generate an outbound instruction according to the outbound mode; wherein the target material information includes the formula number of the target material and the batch number of the target material; the outbound mode includes outbound by formula number and outbound by batch number.

[0036] In some embodiments, an outbound instruction is generated according to the outbound mode. Specifically, if the outbound mode is outbound by recipe number, an outbound instruction by recipe number is generated; if the outbound mode is outbound by batch number, an outbound instruction by batch number is generated.

[0037] In some embodiments, if the delivery mode is delivery by batch number, a delivery instruction by batch number is generated, including:

[0038] Determine whether the target material is from the same customer. If so, proceed to the next step. If not, perform outbound allocation according to the route allocation principle.

[0039] Determine whether the target material has priority for bulk trays. If so, distribute the materials out of the warehouse according to the priority principle of bulk trays; if not, distribute the materials out of the warehouse according to the first-in-first-out principle and the equal distribution principle.

[0040] By adopting the above technical solution, the beneficial effects of the present invention are:

[0041] The present invention obtains target material information according to order information, processes the target material information into the target material's formula number and the target material's batch number, and then determines the outbound mode and generates outbound instructions according to the target material information. The outbound allocation method of the present invention can also generate outbound instructions quickly, orderly, and efficiently in scenarios with multiple varieties, multiple batches, and small batches, which is more conducive to the operation of the four-way trolley, reduces the trolley's travel path, avoids waiting time, and improves outbound efficiency.

[0042] It is to be understood that the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the present disclosure.

[0043] Undoubtedly, these and other objects of the present invention will become more apparent after the following detailed description of the preferred embodiment described with reference to various figures and drawings.

[0044] In order to make the above and other purposes, features and advantages of the present invention more obvious and easy to understand, one or several preferred embodiments are given below and described in detail with reference to the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0045] The accompanying drawings are used to provide further understanding of the present invention and constitute a part of the specification. They are used together with the embodiments of the present invention to explain the present invention and do not constitute a limitation of the present invention.

[0046] In the drawings, the same reference numerals are used for the same components and the drawings are schematic and not necessarily drawn to scale.

[0047] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only one or several embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on such drawings without paying creative work.

[0048] Figure 1 A schematic diagram of a method for allocating inventory in some embodiments of the present invention;

[0049] Figure 2 A schematic diagram of the process of dispatching goods by batch number according to some embodiments of the present invention;

[0050] Figure 3 A schematic diagram of a first-in-first-out batch outbound process according to some embodiments of the present invention;

[0051] Figure 4 A schematic diagram of a warehouse transfer process in some embodiments of the present invention;

[0052] Figure 5 A schematic diagram of an evenly distributed outbound delivery process according to some embodiments of the present invention;

[0053] Figure 6 A schematic diagram of a route allocation outbound flow chart of some embodiments of the present invention;

[0054] Figure 7 It is a schematic diagram of the structure of the outbound distribution system of some embodiments of the present invention. DETAILED DESCRIPTION

[0055] In order to make the purpose, technical solution and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with specific embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but are not used to limit the present invention.

[0056] In addition, in the description of the present invention, it should be understood that the terms "center", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", "axial", "radial", "circumferential" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, and do not indicate or imply that the referred device or element must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as a limitation on the present invention.

[0057] In the present invention, unless otherwise clearly specified and limited, the terms "installed", "connected", "connected", "fixed" and the like should be understood in a broad sense. For example, it can be a fixed connection, a detachable connection, or an integral body; it can be directly connected or indirectly connected through an intermediate medium, and it can be the internal connection of two elements or the interaction relationship between two elements. However, if it is indicated as a direct connection, it means that the two connected bodies are not connected through a transition structure, but are connected to form a whole through a connecting structure. For those of ordinary skill in the art, the specific meanings of the above terms in the present invention can be understood according to the specific circumstances.

[0058] In the present invention, unless otherwise clearly specified and limited, the first feature "on" or "under" the second feature may be that the first and second features are in direct contact, or the first and second features are in indirect contact through an intermediate medium. In the description of this specification, the description with reference to the terms "one embodiment", "some embodiments", "example", "specific example", or "some examples" means that the specific features, structures, materials or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representation of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described may be combined in an appropriate manner in any one or more embodiments or examples. SUMMARY OF THE INVENTION

[0060] With the rapid development of the logistics industry, the demand for warehousing is increasing and the efficiency requirements are getting higher and higher. The traditional three-dimensional warehouse storage can no longer meet the needs of the modern logistics industry in terms of storage capacity or efficiency. Therefore, intensive storage has become an inevitable choice.

[0061] In the prior art, a four-way vehicle stereoscopic warehouse is used as a dense storage warehouse. The four-way vehicle stereoscopic warehouse is generally used to store a small number of varieties, a small number of batches, and a large number of materials for dense storage, and has a wide range of applications in logistics and warehousing.

[0062] The cargo space allocation method refers to the method of allocating goods to designated storage locations to achieve efficient warehouse management and fast storage and retrieval of goods. In a four-way vehicle stereoscopic warehouse, the rationality of the cargo space allocation method directly affects the efficiency of four-way vehicle entry and exit and the quality of inventory management. The common cargo space allocation methods in the industry mainly include strategies such as incremental allocation by entry layer, incremental allocation by column, and equal allocation by aisle. The exit includes first-in-first-out, whole pallet priority, and loose pallet priority. However, these methods have their own advantages and disadvantages and cannot solve the efficiency requirements of four-way vehicle entry and exit in special scenarios.

[0063] In addition, although the dense warehouse performs well in the scenario of storing a small number of varieties, a small number of batches, and a large number of materials, it cannot play its advantages in the storage of a large number of varieties, a large number of batches, and a small number of materials, which has become a problem in the industry. Therefore, the present invention proposes a multi-variety four-way vehicle stereoscopic warehouse outbound allocation method to solve the problem of cargo space allocation based on this scenario, so as to improve the efficiency of inbound and outbound storage.

[0064] Exemplary Methods

[0065] Figure 1 Schematic diagram of the process of outbound allocation method in some embodiments of the present invention. Figure 1 As shown, the exemplary method includes

[0066] Step S1, obtaining target material information, obtaining target material information according to order information; wherein the target material information includes the formula number of the target material and the batch number of the target material.

[0067] Step S2, determining the outbound delivery mode, determining the outbound delivery mode according to the target material information; wherein the outbound delivery mode includes outbound delivery by formula number and outbound delivery by batch number.

[0068] Step S3, generating a dispatch instruction, generating a dispatch instruction according to the dispatch mode.

[0069] The present invention obtains target material information according to order information, processes the target material information into the target material's formula number and the target material's batch number, and then determines the outbound mode and generates outbound instructions according to the target material information. The outbound allocation method of the present invention can also generate outbound instructions quickly, orderly, and efficiently in scenarios with multiple varieties, multiple batches, and small batches, which is more conducive to the operation of the four-way trolley, reduces the trolley's travel path, avoids waiting time, and improves outbound efficiency.

[0070] In the embodiment of the present invention, step S2 generates a dispatch instruction according to the dispatch mode, specifically, if the dispatch mode is dispatch by recipe number, a dispatch instruction by recipe number is generated; if the dispatch mode is dispatch by batch number, a dispatch instruction by batch number is generated. The present invention can perform dispatch allocation in different ways according to different dispatch modes, and has strong adaptability and a wide range of applications.

[0071] Figure 2 The following is a schematic diagram of the process of outbound delivery by batch number in some embodiments of the present invention. Figure 2 As shown, in one implementation of the embodiment of the present invention, if the delivery mode is delivery by batch number, a delivery instruction by batch number is generated, including

[0072] Determine whether the target material is from the same customer. If so, proceed to the next step. If not, perform outbound allocation according to the route allocation principle.

[0073] Determine whether the target material has priority for bulk trays. If so, distribute the materials out of the warehouse according to the priority principle of bulk trays; if not, distribute the materials out of the warehouse according to the first-in-first-out principle and the equal distribution principle.

[0074] The present invention can select different outbound distribution methods according to different customers. For the target materials of the same customer, the outbound delivery can be carried out in bulk or according to the first-in-first-out and equal distribution principle.

[0075] Figure 3 This is a schematic diagram of the first-in-first-out process of batches in some embodiments of the present invention. Figure 3 As shown, in one implementation of the embodiment of the present invention, the batch first-in-first-out principle includes

[0076] Classify and sum the target materials;

[0077] Arrange the inventory materials in ascending order according to batches to form an inventory material set, and obtain the outbound port based on the inventory material set;

[0078] Determine the proposed partition area based on the target material, and judge whether the proposed partition area needs to be transferred. If so, make outbound allocation according to the transfer. If not, make outbound allocation directly.

[0079] Figure 4 Schematic diagram of the warehouse transfer process in some embodiments of the present invention. Figure 4 As shown, in one implementation of the embodiment of the present invention, the library transfer includes

[0080] Get the cargo layer position, sub-channel position, and column position of the transferred material;

[0081] Determine whether the subchannel is in queue mode. If so, generate a transfer instruction based on the column position of the transfer material. If not, proceed to the next step.

[0082] Determine whether the subchannel is a left-advanced stack. If so, generate a left-column shift instruction. If not, execute the next step.

[0083] Determine whether the subchannel is a right-push stack. If so, generate a right column shift instruction.

[0084] Figure 5 This is a schematic diagram of the equal distribution outbound flow of some embodiments of the present invention. Figure 5 As shown, in one implementation of the embodiment of the present invention, the equal distribution principle includes

[0085] Sort inventory materials by layer and region.

[0086] The target material and the inventory material are matched layer by layer and judged whether they match. If they do not match, the matching is continued layer by layer. If they match, the target material and the inventory material are matched area by area and judged whether they match. If they do not match, the matching is continued area by area. If they match, the outbound allocation is carried out.

[0087] Figure 6 The following is a schematic diagram of the route allocation outbound process of some embodiments of the present invention. Figure 6 As shown, in one implementation of the embodiment of the present invention, the route allocation principle is specifically as follows:

[0088] Calculate the distance disn from the target material to the delivery port corresponding to customer N (N = 1, 2, ..., n),

[0089] Determine customer 1 as the priority outbound customer, and the distance from the target material corresponding to customer 1 to the outbound port is dis1;

[0090] Compare the distance disn from the target material to the delivery port corresponding to customer N (N=1, 2, ..., n) with the distance dis1 from the target material to the delivery port corresponding to customer 1, where customer 1 is the priority delivery customer, and make delivery allocation based on the comparison result.

[0091] Exemplary Systems

[0092] Figure 7 Schematic diagram of the structure of the outbound distribution system in some embodiments of the present invention. Figure 7 As shown, the exemplary system includes a target material information acquisition module, a delivery mode determination module, and a delivery instruction generation module. The target material information acquisition module is used to acquire target material information according to order information; the delivery mode determination module is used to acquire target material information according to order information; the delivery instruction generation module is used to generate delivery instructions according to the delivery mode; wherein the target material information includes the formula number of the target material and the batch number of the target material; the delivery mode includes delivery by formula number and delivery by batch number.

[0093] In the embodiment of the present invention, the outbound instruction is generated according to the outbound mode. Specifically, if the outbound mode is outbound by recipe number, an outbound instruction by recipe number is generated; if the outbound mode is outbound by batch number, an outbound instruction by batch number is generated.

[0094] In the embodiment of the present invention, if the delivery mode is delivery by batch number, a delivery instruction by batch number is generated, including:

[0095] Determine whether the target material is from the same customer. If so, proceed to the next step. If not, perform outbound allocation according to the route allocation principle.

[0096] Determine whether the target material has priority for bulk trays. If so, distribute the materials out of the warehouse according to the priority principle of bulk trays; if not, distribute the materials out of the warehouse according to the first-in-first-out principle and the equal distribution principle.

[0097] It should be understood that the embodiments disclosed in the present invention are not limited to the specific processing steps or materials disclosed herein, but should be extended to equivalent substitutions of such features understood by ordinary technicians in the relevant field. It should also be understood that the terms used herein are only used for the purpose of describing specific embodiments and are not meant to be limiting.

[0098] The "embodiment" mentioned in the specification means that the specific features or characteristics described in conjunction with the embodiment are included in at least one embodiment of the present invention. Therefore, the phrases or "embodiment" appearing in various places throughout the specification do not necessarily refer to the same embodiment.

[0099] In addition, the described features or characteristics may be combined in one or more embodiments in any other suitable manner. In the above description, some specific details, such as thickness, quantity, etc., are provided to provide a comprehensive understanding of the embodiments of the present invention. However, those skilled in the relevant art will understand that the present invention can be implemented without one or more of the above specific details or can also be implemented using other methods, components, materials, etc.

Claims

1. A method for distributing multiple types of four-way vehicles out of a three-dimensional warehouse, characterized in that: include Acquisition of target material information: Acquisition of target material information based on order information; Determination of the outbound delivery mode: Determine the outbound delivery mode based on the target material information; Generation of outbound instructions: Generate outbound instructions according to the outbound mode; in, The target material information includes the formula number of the target material and the batch number of the target material; The delivery modes include delivery by formula number and delivery by batch number.

2. The method for distributing multiple types of vehicles from a four-way three-dimensional warehouse according to claim 1 is characterized in that: Generate outbound instructions according to the outbound mode, specifically: If the delivery mode is delivery by recipe number, a delivery instruction by recipe number is generated; If the outbound delivery mode is by batch number, an outbound delivery instruction by batch number will be generated.

3. The method for distributing multiple types of vehicles from a four-way three-dimensional warehouse according to claim 2 is characterized in that: If the delivery mode is delivery by batch number, a delivery instruction by batch number is generated, including Determine whether the target material is from the same customer. If so, proceed to the next step. If not, perform outbound allocation according to the route allocation principle. Determine whether the target material has priority for bulk trays. If so, distribute the materials out of the warehouse according to the priority principle of bulk trays; if not, distribute the materials out of the warehouse according to the first-in-first-out principle and the equal distribution principle.

4. The method for distributing multiple types of vehicles from a four-way three-dimensional warehouse according to claim 3 is characterized in that: Batch first-in-first-out principle, including Classify and sum the target materials. Arrange the inventory materials in ascending order according to batches to form an inventory material set, and obtain the outbound port based on the inventory material set; Determine the proposed partition area based on the target material, and judge whether the proposed partition area needs to be transferred. If so, make outbound allocation according to the transfer. If not, make outbound allocation directly.

5. The method for distributing multiple types of vehicles from a four-way three-dimensional warehouse according to claim 4 is characterized in that: Transferring the warehouse includes obtaining the cargo layer position, sub-channel position, and column position of the transferred material; Determine whether the subchannel is in queue mode. If so, generate a transfer instruction based on the column position of the transfer material. If not, proceed to the next step. Determine whether the subchannel is a left-advanced stack. If so, generate a left-column shift instruction. If not, execute the next step. Determine whether the subchannel is a right-push stack. If so, generate a right column shift instruction.

6. The method for distributing multiple types of vehicles from a four-way three-dimensional warehouse according to claim 3 is characterized in that: The principle of equal distribution includes Sort inventory materials by layer and region. The target material and the inventory material are matched layer by layer and judged whether they match. If they do not match, the matching is continued layer by layer. If they match, the target material and the inventory material are matched area by area and judged whether they match. If they do not match, the matching is continued area by area. If they match, the outbound allocation is carried out.

7. The method for distributing multiple types of vehicles from a four-way three-dimensional warehouse according to claim 3 is characterized in that: Route allocation principles, specifically: Calculate the distance disn from the target material to the delivery port corresponding to customer N (N = 1, 2, ..., n), Determine customer 1 as the priority outbound customer, and the distance from the target material corresponding to customer 1 to the outbound port is dis1; Compare the distance disn from the target material to the delivery port corresponding to customer N (N=1, 2, ..., n) with the distance dis1 from the target material to the delivery port corresponding to customer 1, where customer 1 is the priority delivery customer, and make delivery allocation based on the comparison result.

8. A multi-variety four-way vehicle outbound distribution system, characterized in that: include A target material information acquisition module, which is used to acquire target material information according to order information; The outbound mode determination module is used to obtain target material information according to order information; A delivery instruction generation module, which is used to generate delivery instructions according to the delivery mode; in, The target material information includes the formula number of the target material and the batch number of the target material; The delivery modes include delivery by formula number and delivery by batch number.

9. The multi-variety four-way vehicle outbound distribution system according to claim 8 is characterized in that: Generate outbound instructions according to the outbound mode, specifically: If the delivery mode is delivery by recipe number, a delivery instruction by recipe number is generated; If the outbound delivery mode is by batch number, an outbound delivery instruction by batch number will be generated.

10. The multi-variety four-way vehicle outbound distribution system according to claim 9, characterized in that: If the delivery mode is delivery by batch number, a delivery instruction by batch number is generated, including Determine whether the target material is from the same customer. If so, proceed to the next step. If not, perform outbound allocation according to the route allocation principle. Determine whether the target material has priority for bulk trays. If so, distribute the materials out of the warehouse according to the priority principle of bulk trays; if not, distribute the materials out of the warehouse according to the first-in-first-out principle and the equal distribution principle.

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