Optimization of Two-Dimensional Extended Warranty Scheme for Failure Dependence of a Multi-Component System with Improved PSO–BAS Algorithm

Round 1

Reviewer 1 Report

The content of this paper brings an interesting mathematical formalization of the optimization of the two-dimensional extended warranty scheme of multi-component systems with failure dependence, which has also a practical contribution. This paper can be a valuable contribution to the Processes journal after corrections to the manuscript.

1. Formulas (2)-(5) are similar to formulas (1)-(4) in the article (36), published by the authors earlier. Therefore, the authors should make a reference to the article in which these formulas appeared for the first time.

[36] R. Wang, Z. Cheng, L. Rong, Y. Bai and Q. Wang, Availability Optimization of Two-dimensional Warranty Products Under Imperfect Preventive Maintenance. IEEE Access, 2021, 9, 8099-8109

2. In subsection 1.2, the 2D warranty is analyzed, but the title of the subsection is "D warranty".

3. The numbering of subsections in section 2 should be adjusted (1.2, 2, 3, 4).

4. Line 339. The number of the subsection should be 4.4 but not 4.42. The title of the subsection "D EW cost model" is not clear. Maybe the title "2D EW cost model" is more appropriate.

5. Line 451. Instead of "4.52 D EW availability model" there should be "4.5. 2D EW availability model".

6. Figure 4 has bad quality. It needs to be redone.

7. In the labels of Fig. 10 (a) and (b) should write "Warranty cost as a function of preventive maintenance interval" and "Availability as a function of preventive maintenance interval".
In Figures 11, 14, and 15, it is also necessary to clarify the labels.

Author Response

Reviewer #1 Concern # 1: Formulas (2)-(5) are similar to formulas (1)-(4) in the article (36), published by the authors earlier. Therefore, the authors should make a reference to the article in which these formulas appeared for the first time.

Author response: We agree with the opinions of the reviewer.

Author action: We have quoted this paper published by our research group in an appropriate place.

 

Reviewer #1 Concern # 2: In subsection 1.2, the 2D warranty is analyzed, but the title of the subsection is "D warranty".

Author response: We agree with the opinions of the reviewer.

Author action: We change the title here to "2D warranty".

 

Reviewer #1 Concern # 3: The numbering of subsections in section 2 should be adjusted (1.2, 2, 3, 4).

Author response: We agree with the opinions of the reviewer.

Author action: We have changed the serial number of the title of subsections in section 2.

 

Reviewer #1 Concern # 4: Line 339. The number of the subsection should be 4.4 but not 4.42. The title of the subsection "D EW cost model" is not clear. Maybe the title "2D EW cost model" is more appropriate.

Author response: We agree with the opinions of the reviewer.

Author action: We change the title here to "2D EW cost model ".

 

Reviewer #1 Concern # 5: Line 451. Instead of "4.52 D EW availability model" there should be "4.5. 2D EW availability model".

Author response: We agree with the opinions of the reviewer.

Author action: We change the title here to "2D EW availability model ".

 

Reviewer #1 Concern # 6: Figure 4 has bad quality. It needs to be redone.

Author response: We agree with the opinions of the reviewer.

Author action: We redrawn Figure 4.

 

Reviewer #3 Concern # 7: In the labels of Fig. 10 (a) and (b) should write "Warranty cost as a function of preventive maintenance interval" and "Availability as a function of preventive maintenance interval".

In Figures 11, 14, and 15, it is also necessary to clarify the labels.

Author response: We agree with the opinions of the reviewer.

Author action: We changed the title of the corresponding subgraph to make the statement clearer.

Author Response File: Author Response.docx

Reviewer 2 Report

This paper focuses on the optimization of military electromechanical system, and takes the gearbox of EMU system as an example to carry out application analysis and verification. The paper has detailed data, fluent language, rigorous overall structure, and uses many optimization methods for research. There are still some minor issues to be discussed, as follows.

1. There is a colon at the end of the title of this article, which is rarely seen, and there is no text after the colon.

2. The summary of the work of this paper is not perfect, and needs to be further improved, emphasizing their own work.

3. This paper mentions the use of BAS and PSO optimization algorithms. What role do bas and PSO algorithms play in the optimization and identification of military systems?

4. What are the advantages and disadvantages of BAS algorithm? What are the advantages and disadvantages in the application of PSO, and what are the new findings in the practical application of this paper?

5.  can you use a diagram to illustrate or explain the sensitivity analysis of failure dependence coefficient?

6. Taking the gearbox of EMU system as an example, this paper studies and obtains a large number of data and the results of research methods. What are the guiding suggestions for the improvement or perfection of the gearbox of EMU system?

Author Response

Reviewer #2 Concern # 1: There is a colon at the end of the title of this article, which is rarely seen, and there is no text after the colon.

Author response: We agree with the opinions of the reviewer.

Author action: We removed the colon at the end of the title.

 

Reviewer #2 Concern # 2: The summary of the work of this paper is not perfect, and needs to be further improved, emphasizing their own work.

Author response: We agree with the opinions of the reviewer.

Author action: We rewrote the conclusion, explaining the main work of this paper and the future research prospects.

 

Reviewer #2 Concern # 3: This paper mentions the use of BAS and PSO optimization algorithms. What role do bas and PSO algorithms play in the optimization and identification of military systems?

Author response: BAS algorithm and PSO algorithm are intelligent optimization algorithms, which are often used to solve large-scale optimization problems and have been widely used in engineering problems. There are also many optimization problems in military systems, such as the deployment of weapons and equipment, transportation path planning, etc. Intelligent optimization algorithms are usually used in modeling and solving such problems.

 

Reviewer #2 Concern # 4: What are the advantages and disadvantages of BAS algorithm? What are the advantages and disadvantages in the application of PSO, and what are the new findings in the practical application of this paper?

Author response: We add the advantages and disadvantages of BAS algorithm and PSO algorithm in the introduction. The new finding of this paper is that using bas algorithm to improve PSO algorithm can get more accurate results and more block computing speed. This conclusion has been explained in 5.2.

 

Reviewer #2 Concern # 5: Can you use a diagram to illustrate or explain the sensitivity analysis of failure dependence coefficient?

Author response: We explain the idea of sensitivity analysis of failure dependence coefficient in the form of table at the beginning of 5.4.

 

Reviewer #2 Concern # 6: Taking the gearbox of EMU system as an example, this paper studies and obtains a large number of data and the results of research methods. What are the guiding suggestions for the improvement or perfection of the gearbox of EMU system?

Author response: The conclusion of this paper has guiding significance for the maintenance, design and manufacture of the gearbox for the EMU system.

Author action: We have added the relevant contents of the guiding significance of this paper for practice in the conclusion.

Author Response File: Author Response.docx