A marine observation buoy design optimization method, device, equipment, medium and product

By breaking down functional requirements into sub-functional requirements, establishing a morphological matrix, and conducting quantitative analysis, the problem of high cost in the design of marine observation buoys was solved, modular adaptation and full-cycle cost balance were achieved, and the operational stability and observation reliability of the buoys were improved.

CN122365876APending Publication Date: 2026-07-10STATE OCEAN TECH CENT
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
STATE OCEAN TECH CENT
Filing Date
2026-04-15
Publication Date
2026-07-10

AI Technical Summary

Technical Problem

Existing technologies lack quantitative design methods to guide the expansion of ocean observation buoy functions, resulting in high development costs and difficulty in meeting diverse observation needs.

Method used

By breaking down functional requirements into sub-functional requirements, establishing a morphological matrix, constructing a solution set, performing modular design, and conducting quantitative analysis of the degree of structural modularity, reliability, and economy, the optimal design scheme is determined.

Benefits of technology

Modular adaptation of buoy design has been achieved, improving operational stability and observation reliability, reducing the total cost of the entire life cycle, and meeting diverse observation needs.

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Abstract

This application discloses a method, apparatus, equipment, medium, and product for optimizing the design of marine observation buoys, relating to the field of marine observation equipment design. The method includes: determining corresponding functional requirements based on the technical requirements of the marine observation scenario for the marine observation buoy; establishing a morphological matrix to divide the functional requirements into multiple sub-functional requirements, and determining the solution set for each sub-functional requirement; combining possible functional modules to obtain multiple candidate buoy design schemes; quantitatively analyzing each candidate buoy design scheme from the aspects of structural modularity, reliability, and economy to determine the optimal design scheme, thereby guiding the design and optimization of the marine observation buoy, ensuring that the optimized marine observation buoy meets the technical requirements of the marine observation scenario. This application achieves modular adaptation, efficient optimization, and full-cycle cost balance in buoy design, significantly improving the operational stability and observation reliability of marine observation buoys.
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Description

Technical Field

[0001] This application relates to the field of marine observation equipment design, and in particular to a method, apparatus, equipment, medium and product for optimizing the design of marine observation buoys. Background Technology

[0002] As user and market demands for ocean observation buoys increase, expanding the functionality of existing buoys has become a popular choice for many manufacturers, offering the opportunity to meet more functional requirements while reducing development costs. However, there is currently no quantifiable design methodology to guide how to incorporate more observation needs into the design process while minimizing development costs. Summary of the Invention

[0003] The purpose of this application is to provide a method, apparatus, equipment, medium and product for optimizing the design of marine observation buoys, which can realize modular adaptation, efficient optimization and full-cycle cost balance of buoy design, and improve the operational stability and observation reliability of marine observation buoys.

[0004] To achieve the above objectives, this application provides the following solution: Firstly, this application provides a method for optimizing the design of ocean observation buoys, including: The corresponding functional requirements are determined based on the technical requirements of the marine observation scenario of the marine observation buoy; A morphological matrix is ​​established to divide the functional requirements into multiple sub-functional requirements, and a solution set for each sub-functional requirement is established based on the mapping relationship to establish objective design elements; possible functional modules are combined to obtain multiple candidate buoy design schemes; the solution set includes multiple candidate functional modules, and each candidate functional module corresponds one-to-one with the sub-functional requirement; Each candidate buoy design scheme was quantitatively analyzed in terms of structural modularity, reliability, and economy to determine the optimal design scheme, so as to guide the design and optimization of marine observation buoys and ensure that the optimized marine observation buoys meet the technical requirements of marine observation scenarios.

[0005] Secondly, this application provides a design optimization device for ocean observation buoys, comprising: The requirements analysis module is used to determine the corresponding functional requirements based on the technical requirements of the marine observation scenario of the marine observation buoy; The candidate scheme determination module is used to establish a morphological matrix, divide the functional requirements into multiple sub-functional requirements, establish a solution set for each sub-functional requirement based on the mapping relationship, and combine possible functional modules to obtain multiple candidate buoy design schemes; the solution set includes multiple candidate functional modules, and each candidate functional module corresponds one-to-one with a sub-functional requirement; The structural optimization module is used to quantitatively analyze each candidate buoy design scheme from the aspects of structural modularity, reliability and economy, and determine the optimal design scheme to guide the design and optimization of marine observation buoys, so that the optimized marine observation buoys meet the technical requirements of marine observation scenarios.

[0006] Thirdly, this application provides a computer device, including: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the above-described method for optimizing the design of marine observation buoys.

[0007] Fourthly, this application provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the above-described method for optimizing the design of marine observation buoys.

[0008] Fifthly, this application provides a computer program product, including a computer program that, when executed by a processor, implements the above-described method for optimizing the design of marine observation buoys.

[0009] According to the specific embodiments provided in this application, this application achieves the following technical effects: By decomposing the overall functional requirements into sub-functional requirements and constructing a solution set, it promotes the transformation of buoy design towards modularity and standardization, enabling flexible reuse and rapid replacement of functional modules, significantly improving design adaptability, meeting the customized needs of different marine observation scenarios, and reducing the technical and cost barriers to customized production. Furthermore, it conducts quantitative analysis from three dimensions: structural modularity, reliability, and economy, replacing traditional experience-based judgments with data-driven indicators. Based on the intensity of competition among these indicators, it accurately selects the optimal design scheme, effectively avoiding the inherent defects of a single design, significantly improving the operational stability and data observation continuity of the buoy in complex marine environments, and ensuring the reliable conduct of observation missions. Moreover, the quantitative evaluation takes into account both functional implementation and cost investment, achieving an optimal balance of design and operation costs throughout the entire lifecycle, avoiding resource redundancy and waste, and improving the overall economic benefits of buoy design. Attached Figure Description

[0010] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0011] Figure 1 This is a flowchart illustrating a method for optimizing the design of an ocean observation buoy, as provided in one embodiment of this application.

[0012] Figure 2 This is a schematic diagram of the functional modules of a marine observation buoy design optimization device provided in an embodiment of this application. Detailed Implementation

[0013] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0014] The purpose of this application is to provide a quantifiable design method to guide the design of functional expansion schemes for ocean observation buoys.

[0015] To make the above-mentioned objectives, features and advantages of this application more apparent and understandable, the application will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0016] In one exemplary embodiment, such as Figure 1 As shown, a method for optimizing the design of marine observation buoys is provided. This method is executed by computer equipment, specifically by a terminal or server alone, or by both a terminal and a server. In this embodiment, the method includes steps 101 to 103.

[0017] Step 101: Determine the corresponding functional requirements based on the technical requirements of the marine observation scenario for the marine observation buoy. These technical requirements include the technical specifications for marine environmental detection accuracy, detection range, buoy corrosion resistance to marine environments, and buoy endurance at sea.

[0018] In a specific application example, a tabular listing method is used to analyze the technical requirements of a marine observation scenario, and the functional requirements of the equipment are divided according to these requirements. When listing the technical requirements of a marine observation scenario, all design elements necessary for the normal operation of the entire equipment should be met. A one-to-one correspondence must be maintained when dividing the functional requirements according to the technical requirements of the marine observation scenario. For example, to extend the target identification function of an anchored buoy that includes water temperature measurement, the technical requirements of this marine observation scenario are transformed into functional requirements as shown in Table 1.

[0019] Table 1: Correspondence between Design Requirements and Functional Requirements

[0020] Step 102: Establish a morphological matrix to divide the functional requirements into multiple sub-functional requirements, and establish a solution set for each sub-functional requirement based on the mapping relationship. Establish objective design elements and combine possible functional modules to obtain multiple candidate buoy design schemes.

[0021] The solution set includes multiple candidate functional modules, and each candidate functional module is used to implement a corresponding sub-functional requirement. Each candidate functional module corresponds one-to-one with a sub-functional requirement. Each candidate buoy design scheme includes one candidate functional module for each sub-functional requirement.

[0022] In a specific application example, functional requirements were divided into sub-functional requirements based on morphological matrix method, using a combination of human experience and technical specifications for the hardware design of marine observation equipment. Candidate buoy design schemes were then determined by combining possible solutions. The general form of the morphological matrix is ​​shown in Table 2.

[0023] Table 2 Morphological Matrix

[0024] In the morphological matrix, functional requirements are listed and further decomposed to identify sub-functional requirements that can fulfill each requirement. In the morphological matrix, functional requirements are the causes, and the solution set is the effect. To satisfy a specific sub-functional requirement, modules capable of fulfilling that function are listed as solutions in the set. Each module can be a device part or a combination of parts, and should be able to independently implement the corresponding sub-function. By combining various possible solutions, multiple candidate buoy design schemes can be established to meet the corresponding functional requirements. This is used for floating protection. F Taking the functional requirement 4 as an example, a morphological matrix can be established as shown in Table 3.

[0025] Table 3. Morphological matrix corresponding to floating protection

[0026] Therefore, combining the buoy shell module with the buoy electronic compartment module can be one solution to achieve floating protection. F 4. This feature requirement.

[0027] Step 103 involves quantitatively analyzing each candidate buoy design scheme from the perspectives of structural modularity, reliability, and economy to determine the optimal design scheme. This optimal design scheme guides the design and optimization of ocean observation buoys, ensuring that the optimized buoys meet the technical requirements of ocean observation scenarios. Specifically, structural modularity is quantified based on the physical connection characteristics of hardware functional modules; hardware reliability is quantified based on the marine environment adaptability technical parameters of functional modules; and hardware production economy is quantified based on the processing technology parameters of functional modules.

[0028] In a specific application example, step 103 includes steps 31 to 35.

[0029] Step 31: For any candidate buoy design scheme, determine the structural evaluation value of the candidate buoy design scheme based on the connection relationships between the candidate functional modules. The connection relationships between the candidate functional modules include the mechanical connection methods and electrical interface matching relationships between the functional modules.

[0030] Specifically, a structural matrix is ​​constructed based on the connection relationships between candidate functional modules in the candidate buoy design scheme.

[0031] The connections between candidate functional modules are determined based on the hardware assembly specifications of marine observation equipment and human experience. The structural matrix reflects the strength of the connections between candidate functional modules, and the modularity of the candidate buoy design can be calculated based on this relationship. The higher the modularity, the stronger the independence of each candidate functional module, and the stronger the functional expandability of the candidate buoy design.

[0032] Structure matrix S It can be represented as: In this structure matrix, the elements on the diagonal are 0, and the elements off-diagonal are... This represents the connection relationship between two candidate functional modules. If the first... x Candidate functional modules With the y Candidate functional modules If a physical connection exists, then ,otherwise , x =1~ n , y =1~ n , The first in the structure matrix x Line 1 y Column elements, n The order of the structure matrix represents the number of candidate functional modules.

[0033] Based on the aforementioned structure matrix, the formula is used. Calculate the structural evaluation value of the candidate buoy design schemes; wherein, J The structural evaluation value for candidate buoy design schemes. J The lower the value, the higher the degree of modularity of the candidate buoy design, the stronger the subsequent functional expandability, and the more observation needs can be met.

[0034] Step 32: Based on the service life of each candidate functional module in the candidate buoy design scheme, the reliability evaluation value of the candidate buoy design scheme is determined by expert scoring method.

[0035] Regarding reliability, candidate buoy designs should meet the minimum service life requirement; generally, the service life of all functional modules or components should not be less than the minimum service life requirement. Those that do not meet this requirement should be directly excluded from the evaluation. For candidate buoy designs that meet the requirements, a discrete grade value is determined for each candidate buoy design based on an expert scoring method. The set of discrete grade values ​​is as follows: .

[0036] The lower the grade value of a candidate buoy design, the higher its expected lifespan. Therefore, the formula... The reliability evaluation value of the candidate buoy design scheme can be obtained by scoring it with experts. K For reliability evaluation, K The lower the value, the better the reliability of the candidate buoy design, the lower the cost of equipment replacement and use, and the more it lays the foundation for functional expansion.

[0037] Step 33: Determine the economic evaluation value of the candidate buoy design scheme based on the economic cost required for processing and producing each candidate functional module in the candidate buoy design scheme.

[0038] Specifically, in terms of economics, the production cost of ocean observation buoys should be minimized. Based on the economic costs required for manufacturing and producing each candidate buoy design, a formula can be used. Determine the economic evaluation value of the candidate buoy design schemes. Among them, E The economic evaluation value of the candidate buoy design scheme. e The natural base, c The total economic cost required for manufacturing each candidate functional module in the candidate buoy design scheme. E The lower the value, the lower the economic cost and development cost of the candidate buoy design.

[0039] Step 34: Determine the weight of each evaluation dimension based on the competitiveness of the structural evaluation value, reliability evaluation value, and economic evaluation value of each candidate buoy design scheme. The evaluation dimensions include the degree of structural modularity, reliability, and economy.

[0040] The evaluation values ​​of structure, reliability, and economy lay the foundation for a comprehensive analysis of the candidate buoy design schemes. To scientifically determine the comprehensive evaluation value of each candidate buoy design scheme, a standard matrix should first be established. Specifically, based on the structural evaluation value, reliability evaluation value, and economic evaluation value of each candidate buoy design scheme, a standard matrix is ​​constructed: ;in, A For a standard matrix, b The number of candidate buoy design schemes, the first For the first b Structural evaluation values ​​of each candidate buoy design scheme For the first b The reliability evaluation value of each candidate buoy design scheme. For the first b Economic evaluation values ​​of candidate buoy design schemes.

[0041] To determine the importance of each evaluation dimension, a standard matrix is ​​used. A The probability form of elements in each evaluation dimension can be calculated: .in, a ij For the first in the standard matrix i Line 1 j Column elements, p ij For the first in the standard matrix i Line 1 j The probability form of column elements, i =1~ b , j =1~3, the rows of the standard matrix represent candidate buoy design schemes, and the columns represent evaluation dimensions.

[0042] The weight of each evaluation dimension is calculated based on the probability form of each element in the standard matrix. The weight is calculated using the following formula: j The weights of each evaluation dimension are used to quantify the importance of each evaluation dimension: ; in, For the first j The weight of each evaluation dimension can reflect the degree of competition among them; the more important the evaluation dimension, the greater its weight.

[0043] Step 35: For any candidate buoy design scheme, based on the weights of each evaluation dimension, the structural evaluation value, reliability evaluation value, and economic evaluation value of the candidate buoy design scheme are weighted and summed to obtain the comprehensive evaluation value of the candidate buoy design scheme. .in, ZP This represents the comprehensive evaluation value of the candidate buoy design schemes. ZP The smaller the value, the better the candidate buoy design, with better functional scalability and lower development costs.

[0044] This application selects ZP The lowest-scoring candidate buoy design is the optimal design.

[0045] This application addresses the design challenges of marine observation buoy equipment, analyzing and proposing a systematic, function-driven design and optimization method. To meet the need for expanded observation capabilities, this application, based on a modular structure, utilizes quantitative relationships and calculations to guide the design, reducing design costs while simultaneously enhancing the scalability of the designed marine observation equipment and extending its lifespan.

[0046] Based on the same inventive concept, this application also provides an apparatus for implementing the method described above. The solution provided by this apparatus is similar to the solution described in the above method; therefore, specific limitations in one or more apparatus embodiments provided below can be found in the limitations of the method described above, and will not be repeated here.

[0047] In one exemplary embodiment, such as Figure 2 As shown, a marine observation buoy design optimization device is provided, comprising: a requirements analysis module 201, a candidate scheme determination module 202, and a structural optimization module 203.

[0048] The requirements analysis module 201 is used to determine the corresponding functional requirements based on the technical requirements of the marine observation scenario of the marine observation buoy.

[0049] The candidate scheme determination module 202 is used to establish a morphological matrix, divide the functional requirements into multiple sub-functional requirements, establish a solution set for each sub-functional requirement based on the mapping relationship, establish objective design elements, and combine possible functional modules to obtain multiple candidate buoy design schemes. The solution set includes multiple candidate functional modules, and each candidate functional module corresponds one-to-one with a sub-functional requirement.

[0050] The structural optimization module 203 is used to quantitatively analyze each candidate buoy design scheme from the aspects of structural modularity, reliability and economy, and determine the optimal design scheme to guide the design and optimization of marine observation buoys, so that the optimized marine observation buoys meet the technical requirements of marine observation scenarios.

[0051] In summary, this application has achieved scientific optimization of the design of marine observation buoys through a systematic process of "functional requirement decomposition - module set construction - multi-dimensional quantitative evaluation - optimal solution determination".

[0052] In one exemplary embodiment, a computer device is provided, including a memory and a processor, wherein the memory stores a computer program, and the processor executes the computer program to implement the steps in the above-described method embodiments.

[0053] In one exemplary embodiment, a computer-readable storage medium is provided storing a computer program that, when executed by a processor, implements the steps in the above-described method embodiments.

[0054] In one exemplary embodiment, a computer program product is provided, including a computer program that, when executed by a processor, implements the steps in the above-described method embodiments.

[0055] It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data used for analysis, data stored, data displayed, etc.) involved in this application are all information and data authorized by the user or fully authorized by all parties, and the collection, use and processing of the relevant data must comply with relevant regulations.

[0056] Those skilled in the art will understand that all or part of the processes in the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium. When the computer program is executed, it can include the processes of the embodiments of the above methods.

[0057] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0058] This document uses specific examples to illustrate the principles and implementation methods of this application. The descriptions of the above embodiments are only for the purpose of helping to understand the methods and core ideas of this application. Furthermore, those skilled in the art will recognize that, based on the ideas of this application, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of this application.

Claims

1. A method for optimizing the design of ocean observation buoys, characterized in that, The ocean observation buoy design optimization method includes: The corresponding functional requirements are determined based on the technical requirements of the marine observation scenario of the marine observation buoy; A morphological matrix is ​​established to divide the functional requirements into multiple sub-functional requirements. Based on the mapping relationship, a solution set for each sub-functional requirement is established, and objective design elements are established. Possible functional modules are combined to obtain multiple candidate buoy design schemes. The solution set includes multiple candidate functional modules, and each candidate functional module corresponds one-to-one with a sub-functional requirement. Each candidate buoy design scheme was quantitatively analyzed in terms of structural modularity, reliability, and economy to determine the optimal design scheme, so as to guide the design and optimization of marine observation buoys and ensure that the optimized marine observation buoys meet the technical requirements of marine observation scenarios.

2. The method for optimizing the design of marine observation buoys according to claim 1, characterized in that, Each candidate buoy design scheme was quantitatively analyzed in terms of structural modularity, reliability, and economy to determine the optimal design scheme, including: For any candidate buoy design scheme, the structural evaluation value of the candidate buoy design scheme is calculated based on the structural matrix according to the connection relationship between the candidate functional modules in the candidate buoy design scheme. Based on the service life of each candidate functional module in the candidate buoy design scheme, the reliability evaluation value of the candidate buoy design scheme is determined by expert scoring method. Based on the economic cost required for processing and producing each candidate functional module in the candidate buoy design scheme, determine the economic evaluation value of the candidate buoy design scheme; The weights of each evaluation dimension are determined based on the degree of competition among the structural evaluation values, reliability evaluation values, and economic evaluation values ​​of the candidate buoy design schemes; the evaluation dimensions include the degree of structural modularity, reliability, and economy. For any candidate buoy design scheme, the structural evaluation value, reliability evaluation value, and economic evaluation value of the candidate buoy design scheme are weighted and summed according to the weight of each evaluation dimension to obtain the comprehensive evaluation value of the candidate buoy design scheme. The candidate buoy design scheme with the lowest comprehensive evaluation value is selected as the optimal design scheme.

3. The method for optimizing the design of marine observation buoys according to claim 2, characterized in that, Based on the connection relationships between candidate functional modules in the candidate buoy design schemes, the structural evaluation value of the candidate buoy design schemes is calculated based on the structural matrix, including: Construct a structural matrix based on the connection relationships between candidate functional modules in the candidate buoy design scheme: ;in, S The structure matrix has diagonal elements of 0 and off-diagonal elements of 0. Representing the x Candidate functional modules With the y Candidate functional modules The connection between them, if the first x Candidate functional modules With the y Candidate functional modules If there is a physical connection, then ,otherwise , x =1~ n , y =1~ n ; Based on the aforementioned structure matrix, the formula is used. Calculate the structural evaluation value of the candidate buoy design schemes; wherein, J The structural evaluation value of the candidate buoy design scheme. The first in the structure matrix x Line number y Column elements, n Let be the order of the structure matrix.

4. The method for optimizing the design of marine observation buoys according to claim 2, characterized in that, Based on the economic costs required for processing and producing each candidate functional module in the candidate buoy design scheme, the economic evaluation value of the candidate buoy design scheme is determined, including: Using formula Determine the economic evaluation value of the candidate buoy design schemes; among which, E The economic evaluation value of the candidate buoy design scheme. e The natural base, c The total economic cost required for manufacturing each candidate functional module in the candidate buoy design scheme.

5. The method for optimizing the design of marine observation buoys according to claim 2, characterized in that, Based on the degree of competition among the candidate buoy design schemes in terms of structural evaluation values, reliability evaluation values, and economic evaluation values, the weights of each evaluation dimension are determined, including: Based on the structural evaluation values, reliability evaluation values, and economic evaluation values ​​of each candidate buoy design scheme, a standard matrix is ​​constructed: ;in, A For a standard matrix, b The number of candidate buoy design schemes, the first For the first b Structural evaluation values ​​of each candidate buoy design scheme For the first b The reliability evaluation value of each candidate buoy design scheme. For the first b Economic evaluation values ​​of each candidate buoy design scheme; Using formula Calculate the probability form of each element in the standard matrix; where, a ij For the first in the standard matrix i Line number j Column elements, p ij For the first in the standard matrix i Line number j The probability form of column elements, i =1~ b , j =1~3, the rows of the standard matrix represent candidate buoy design schemes, and the columns represent evaluation dimensions; The weight of each evaluation dimension is calculated based on the probability form of each element in the standard matrix.

6. The method for optimizing the design of marine observation buoys according to claim 5, characterized in that, The following formula is used to calculate the first... j The weights of each evaluation dimension are used to quantify the importance of each evaluation dimension: ; in, For the first j The weights of each evaluation dimension.

7. A marine observation buoy design optimization device, applied to the marine observation buoy design optimization method according to any one of claims 1-6, characterized in that, The ocean observation buoy design optimization device includes: The requirements analysis module is used to determine the corresponding functional requirements based on the technical requirements of the marine observation scenario of the marine observation buoy; The candidate scheme determination module is used to establish a morphological matrix, divide the functional requirements into multiple sub-functional requirements, establish a solution set for each sub-functional requirement based on the mapping relationship, establish objective design elements, and combine possible functional modules to obtain multiple candidate buoy design schemes; the solution set includes multiple candidate functional modules, and each candidate functional module corresponds one-to-one with a sub-functional requirement; The structural optimization module is used to quantitatively analyze each candidate buoy design scheme from the aspects of structural modularity, reliability and economy, and determine the optimal design scheme to guide the design and optimization of marine observation buoys, so that the optimized marine observation buoys meet the technical requirements of marine observation scenarios.

8. A computer device, comprising: A memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that the processor executes the computer program to implement the marine observation buoy design optimization method according to any one of claims 1-6.

9. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the marine observation buoy design optimization method as described in any one of claims 1-6.

10. A computer program product, comprising a computer program, characterized in that, When executed by a processor, the computer program implements the marine observation buoy design optimization method as described in any one of claims 1-6.