A Hybrid MADM Approach for the Evaluation of Different Material Handling Issues in Flexible Manufacturing Systems
Abstract
:1. Introduction
2. Material Handling System and Equipment
3. Literature Review
3.1. Review of Literature Regarding ISM
3.2. Review of Literature Regarding TOPSIS
4. Methodology
4.1. Interpretive Structural Modelling
- Step 1:
- First of all different attributes related to any issue are identified either by a survey or any group problem solving technique.
- Step 2:
- Further, these different attributes are related by contextual relationship. For this a Structural self-interaction matrix (SSIM) is developed, which indicates the pair-wise relationship between the different attributes.
- Step 3:
- Reachability Matrix (RM) is developed from the SSIM. The transitivity of this matrix is also checked and Final Reachability Matrix containing all the transitive links is developed.
- Step 4:
- Different level partitioning is done of RM. The reachability set and antecedent set for each issue are found from the final reachability matrix. Then the intersection set is found and the levels are decided based on all the issues which can reach the issue from bottom.
- Step 5:
- Conical matrix is developed with zero elements in the upper diagonal and the unitary elements in the lower half.
- Step 6:
- Based on the conical matrix relationships, a directed graph (digraph) without the transitive links is drawn.
- Step 7:
- The nodes of the digraph are replaced with statements to convert it into an ISM model.
4.2. TOPSIS
- Step 1:
- Determine the related attributes for the given objective.
- Step 2:
- All the information related to the attributes is expressed in matrix form. This information may be collected from a survey or group discussion. Each row of this matrix is allocated to one attribute and each column to one criterion. Raw measurements are standardized by using Equation (1), where, raw measure Xij is standardized into Sij,
- Step 3:
- Importance weights wk is developed for each of the criteria. The relative importance of these criteria is reflected by these weights. In this work the weightage of rating is calculated by using following criteria:
- Step 4:
- The weighted normalized matrix Wij is obtained by multiplying each element of the column of the matrix Sij with its associated weight wk. So, the elements of this are expressed as:Wij = wkSij
- Step 5:
- Identify the ideal attribute on each criterion, S+.
- Step 6:
- Identify the nadir attribute on each criterion, S−.
- Step 7:
- A distance measure is developed over each criterion to both ideal (D+) and nadir (D−).
- Step 8:
- The relative closeness of a particular attribute to the ideal solution, Ri, is calculated as shown in Equation (6)
- Step 9:
- Finally, all the alternatives are arranged in the descending order according to the value of Ri indicating the most preferred and least preferred attribute.
5. ISM Model for the Evaluation of Material Handling Issues
5.1. Development of SSIM
5.2. Development of the Reachability Matrix
5.3. Partitioning the Reachability Matrix
5.4. Development of the Conical Matrix
5.5. Development of the Digraph and the ISM Model
6. TOPSIS Model for the Evaluation of Material Handling Issues
- Step 1:
- Objective is to find the significance hierarchy of different material handling issues. For this 19 issues were identified as given in Table 1.
- Step 2:
- The next step is to represent all the information available for the issues in the form of a decision matrix. For this step, the data is collected from a survey and 19 issues of material handling in FMS were rated on a scale of 5 in which responses from 63 respondents were collected. Thus, number of attributes is, n = 19 and criteria, k = 5. This raw data in the form of frequency table is shown in Table 18.
- Step 3:
- Table 20 shows these criteria weights developed for each criteria using Equation (2).
- Step 4:
- Now the weighted matrix is developed by multiplying each value of a rating column by its respective weight. The same is shown in Table 21.
- Step 5:
- Step 6:
- Step 7:
- By using the Equations (4) and (5), a distance measure over each criterion to both ideal (D+) and nadir (D−) is developed. The same is shown in Table 24.
- Step 8:
- A ratio R is determined for each issue which is equal to the distance to the nadir divided by the sum of the distance to the nadir and the distance to the ideal, as shown in Equation (6) and calculated in Table 25.
- Step 9:
- Rank the issues by maximizing the ratio in Step 8 as shown in Table 26.
7. Discussion
8. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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S. No. | Issue |
---|---|
1. | Initial cost of the MH equipment |
2. | Load carrying capacity |
3. | Programming flexibility of MH equipment |
4. | Operational cost |
5. | Throughput rate |
6. | Capacity to handle different shapes and volumes |
7. | Storage/Retrieval MH equipment |
8. | Operational control |
9. | Automation |
10 | Floor space |
11. | AGVs/Robots and other advanced MH equipment already present |
12. | Number of AGVs required |
13. | Layout of AGV tracks |
14. | Vehicle dispatching rules |
15. | Traffic management |
16. | Positioning of idle vehicles |
17. | Failure management |
18. | Compatibility of MH equipment with other workstations |
19. | Comparison with cheap human labour |
Issue | 19 | 18 | 17 | 16 | 15 | 14 | 13 | 12 | 11 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | X | O | O | O | O | O | O | A | O | O | A | O | O | A | O | O | A | A |
2 | V | O | O | O | V | V | V | V | A | O | O | O | O | A | V | V | O | |
3 | O | O | O | O | V | O | O | V | O | O | V | V | O | A | V | V | ||
4 | V | O | O | O | O | O | O | O | O | O | O | A | O | A | O | |||
5 | O | O | O | O | V | V | A | O | O | O | O | O | O | O | ||||
6 | O | V | O | O | O | V | O | V | O | O | O | O | A | |||||
7 | A | V | O | V | O | O | V | O | O | O | V | O | ||||||
8 | O | V | V | O | V | V | O | O | O | O | A | |||||||
9 | A | V | V | O | O | O | O | O | O | O | ||||||||
10 | O | O | O | V | V | O | V | V | O | |||||||||
11 | O | O | V | O | O | V | V | V | ||||||||||
12 | O | A | O | O | V | V | V | |||||||||||
13 | O | A | O | O | V | X | ||||||||||||
14 | O | A | O | O | V | |||||||||||||
15 | O | O | O | V | ||||||||||||||
16 | O | O | O | |||||||||||||||
17 | O | O | ||||||||||||||||
18 | O |
Issue | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
2 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 |
3 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
4 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
5 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 |
6 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 |
7 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 |
8 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 |
9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 |
10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 |
11 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 |
12 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
13 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 |
16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 |
19 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
Issue | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1 | 0 | 0 | 0 | 0 | 1 * | 1 * | 1 * | 1 * | 0 | 0 | 0 | 1 * | 0 | 0 | 1 * | 1 * | 1 * | 1 |
2 | 1 | 1 | 0 | 1 | 1 | 1 * | 1 * | 1 * | 1 * | 0 | 0 | 1 | 1 | 1 | 1 | 1 * | 1 * | 1 * | 1 |
3 | 1 | 0 | 1 | 1 | 1 | 0 | 1 * | 1 | 1 | 0 | 0 | 1 | 1 * | 1 * | 1 | 1 * | 1 * | 1 * | 1 * |
4 | 1 * | 0 | 0 | 1 | 0 | 1 * | 1 * | 1 * | 1 * | 0 | 0 | 0 | 1 * | 0 | 0 | 1 * | 1 * | 1 * | 1 |
5 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 * | 1 | 1 | 1 * | 0 | 0 | 0 |
6 | 1 | 1 | 1 | 1 | 1 * | 1 | 0 | 1 * | 1 * | 0 | 0 | 1 | 1 * | 1 | 1 * | 0 | 1 * | 1 | 1 * |
7 | 1 * | 1 * | 1 * | 1 * | 1 * | 1 | 1 | 1 * | 1 | 0 | 0 | 1 * | 1 | 1 * | 1 * | 1 | 1 * | 1 | 0 |
8 | 1 * | 0 | 0 | 1 | 1 * | 0 | 1 * | 1 | 1 * | 0 | 0 | 1 * | 1 * | 1 | 1 | 1 * | 1 | 1 | 1 * |
9 | 1 | 0 | 0 | 1 * | 1 * | 0 | 1 * | 1 | 1 | 0 | 0 | 1 * | 1 * | 1 * | 1 * | 1 * | 1 | 1 | 1 * |
10 | 1 * | 0 | 0 | 0 | 1 * | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 * | 1 | 1 | 0 | 0 | 1 * |
11 | 1 * | 1 | 0 | 1 * | 1 * | 0 | 1 * | 0 | 1 * | 0 | 1 | 1 | 1 | 1 | 1 * | 1 * | 1 | 0 | 1 * |
12 | 1 | 0 | 0 | 0 | 1 * | 0 | 1 * | 0 | 1 * | 0 | 0 | 1 | 1 | 1 | 1 | 1 * | 0 | 0 | 1 * |
13 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 * | 0 | 0 | 0 |
14 | 0 | 0 | 0 | 0 | 1 * | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 * | 0 | 0 | 0 |
15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 |
16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
18 | 1 * | 0 | 0 | 0 | 1 * | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 * | 0 | 0 | 1 | 1 * |
19 | 1 | 1 * | 1 * | 1 * | 0 | 1 * | 1 | 1 * | 1 | 0 | 0 | 1 * | 1 * | 1 * | 1 * | 1 * | 1 * | 1 * | 1 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
1 | 1,6,7,8,9,13,16,17,18,19 | 1,2,3,4,6,7,8,9,10,11,12,18,19 | 1,6,7,8,9,18,19 | |
2 | 1,2,4,5,6,7,8,9,12,13,14,15,16,17,18,19 | 2,6,7,11,19 | 2,6,7,19 | |
3 | 1,3,4,5,7,8,9,12,13,14,15,16,17,18,19 | 3,6,7,19 | 3,7,19 | |
4 | 1,4,6,7,8,9,13,16,17,18,19 | 2,3,4,6,7,8,9,11,19 | 4,6,7,8,9,19 | |
5 | 5, 13,14,15,16 | 1,2,5,6,7,8,9,10,11,12,13,14,18 | 5,13,14 | |
6 | 1,2,3,4,5,6,8,9,12,13,14,15,17,18,19 | 1,2,4,6,7,19 | 1,2,4,6,19 | |
7 | 1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18 | 1,2,3,4,7,8,9,11,12,19 | 1,2,3,4,7,8,9,12 | |
8 | 1,4,5,7,8,9,12,13,14,15,16,17,18,19 | 1,2,3,4,6,7,8,9,19 | 1,4,7,8,9,19 | |
9 | 1,4,5,7,8,9,12,13,14,15,16,17,18,19 | 1,2,3,4,6,7,8,9,11,12,19 | 1,4,7,8,9,12,19 | |
10 | 1,5,10,12,13,14,15,16,19 | 10 | 10 | |
11 | 1,2,4,5,7,9,11,12,13,14,15,16,17,19 | 11 | 11 | |
12 | 1,5,7,9,12,13,14,15,16,19 | 2,3,6,7,8,9,10,11,12,18,19 | 7,9,12,19 | |
13 | 5,13,14,15,16 | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19 | 5,13,14 | |
14 | 5,13,14,15,16 | 2,3,5,6,7,8,9,10,11,12,13,14,18,19 | 5,13,14 | |
15 | 15,16 | 2,3,5,6,7,8,9,10,11,12,13,14,15,18,19 | 15 | |
16 | 16 | 1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,19 | 16 | I |
17 | 17 | 1,2,3,4,6,7,8,9,11,17,19 | 17 | I |
18 | 1,5,12,13,14,15,18,19 | 1,2,3,4,6,7,8,9,18,19 | 1,18,19 | |
19 | 1,2,3,4,6,7,8,9,12,13,14,15,16,17,18,19 | 1,2,3,4,6,8,9,10,11,12,18,19 | 1,2,3,4,6,8,9,12,18,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
1 | 1,6,7,8,9,13,18,19 | 1,2,3,4,6,7,8,9,10,11,12,18,19 | 1,6,7,8,9,18,19 | |
2 | 1,2,4,5,6,7,8,9,12,13,14,15,18,19 | 2,6,7,11,19 | 2,6,7,19 | |
3 | 1,3,4,5,7,8,9,12,13,14,15,18,19 | 3,6,7,19 | 3,7,19 | |
4 | 1,4,6,7,8,9,13,18,19 | 2,3,4,6,7,8,9,11,19 | 4,6,7,8,9,19 | |
5 | 5, 13,14,15 | 1,2,5,6,7,8,9,10,11,12,13,14,18 | 5,13,14 | |
6 | 1,2,3,4,5,6,8,9,12,13,14,15,18,19 | 1,2,4,6,7,19 | 1,2,4,6,19 | |
7 | 1,2,3,4,5,6,7,8,9,12,13,14,15,18 | 1,2,3,4,7,8,9,11,12,19 | 1,2,3,4,7,8,9,12 | |
8 | 1,4,5,7,8,9,12,13,14,15,18,19 | 1,2,3,4,6,7,8,9,19 | 1,4,7,8,9,19 | |
9 | 1,4,5,7,8,9,12,13,14,15,18,19 | 1,2,3,4,6,7,8,9,11,12,19 | 1,4,7,8,9,12,19 | |
10 | 1,5,10,12,13,14,15,19 | 10 | 10 | |
11 | 1,2,4,5,7,9,11,12,13,14,15,19 | 11 | 11 | |
12 | 1,5,7,9,12,13,14,15,19 | 2,3,6,7,8,9,10,11,12,18,19 | 7,9,12,19 | |
13 | 5,13,14,15 | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19 | 5,13,14 | |
14 | 5,13,14,15 | 2,3,5,6,7,8,9,10,11,12,13,14,18,19 | 5,13,14 | |
15 | 15 | 2,3,5,6,7,8,9,10,11,12,13,14,15,18,19 | 15 | II |
18 | 1,5,12,13,14,15,18,19 | 1,2,3,4,6,7,8,9,18,19 | 1,18,19 | |
19 | 1,2,3,4,6,7,8,9,12,13,14,15,18,19 | 1,2,3,4,6,8,9,10,11,12,18,19 | 1,2,3,4,6,8,9,12,18,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
1 | 1,6,7,8,9,13,18,19 | 1,2,3,4,6,7,8,9,10,11,12,18,19 | 1,6,7,8,9,18,19 | |
2 | 1,2,4,5,6,7,8,9,12,13,14,18,19 | 2,6,7,11,19 | 2,6,7,19 | |
3 | 1,3,4,5,7,8,9,12,13,14,18,19 | 3,6,7,19 | 3,7,19 | |
4 | 1,4,6,7,8,9,13,18,19 | 2,3,4,6,7,8,9,11,19 | 4,6,7,8,9,19 | |
5 | 5, 13,14 | 1,2,5,6,7,8,9,10,11,12,13,14,18 | 5,13,14 | III |
6 | 1,2,3,4,5,6,8,9,12,13,14,18,19 | 1,2,4,6,7,19 | 1,2,4,6,19 | |
7 | 1,2,3,4,5,6,7,8,9,12,13,14,18 | 1,2,3,4,7,8,9,11,12,19 | 1,2,3,4,7,8,9,12 | |
8 | 1,4,5,7,8,9,12,13,14,18,19 | 1,2,3,4,6,7,8,9,19 | 1,4,7,8,9,19 | |
9 | 1,4,5,7,8,9,12,13,14,18,19 | 1,2,3,4,6,7,8,9,11,12,19 | 1,4,7,8,9,12,19 | |
10 | 1,5,10,12,13,14,19 | 10 | 10 | |
11 | 1,2,4,5,7,9,11,12,13,14,19 | 11 | 11 | |
12 | 1,5,7,9,12,13,14,19 | 2,3,6,7,8,9,10,11,12,18,19 | 7,9,12,19 | |
13 | 5,13,14 | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19 | 5,13,14 | III |
14 | 5,13,14 | 2,3,5,6,7,8,9,10,11,12,13,14,18,19 | 5,13,14 | III |
18 | 1,5,12,13,14,18,19 | 1,2,3,4,6,7,8,9,18,19 | 1,18,19 | |
19 | 1,2,3,4,6,7,8,9,12,13,14,18,19 | 1,2,3,4,6,8,9,10,11,12,18,19 | 1,2,3,4,6,8,9,12,18,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
1 | 1,6,7,8,9,18,19 | 1,2,3,4,6,7,8,9,10,11,12,18,19 | 1,6,7,8,9,18,19 | IV |
2 | 1,2,4,6,7,8,9,12,18,19 | 2,6,7,11,19 | 2,6,7,19 | |
3 | 1,3,4,7,8,9,12,18,19 | 3,6,7,19 | 3,7,19 | |
4 | 1,4,6,7,8,9,18,19 | 2,3,4,6,7,8,9,11,19 | 4,6,7,8,9,19 | |
6 | 1,2,3,4,6,8,9,12,18,19 | 1,2,4,6,7,19 | 1,2,4,6,19 | |
7 | 1,2,3,4,6,7,8,9,12,18 | 1,2,3,4,7,8,9,11,12,19 | 1,2,3,4,7,8,9,12 | |
8 | 1,4,7,8,9,12,18,19 | 1,2,3,4,6,7,8,9,19 | 1,4,7,8,9,19 | |
9 | 1,4,7,8,9,12,18,19 | 1,2,3,4,6,7,8,9,11,12,19 | 1,4,7,8,9,12,19 | |
10 | 1,10,12,19 | 10 | 10 | |
11 | 1,2,4,7,9,11,12,19 | 11 | 11 | |
12 | 1,7,9,12,19 | 2,3,6,7,8,9,10,11,12,18,19 | 7,9,12,19 | |
18 | 1,12,18,19 | 1,2,3,4,6,7,8,9,18,19 | 1,18,19 | |
19 | 1,2,3,4,6,7,8,9,12,18,19 | 1,2,3,4,6,8,9,10,11,12,18,19 | 1,2,3,4,6,8,9,12,18,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
2 | 2,4,6,7,8,9,12,18,19 | 2,6,7,11,19 | 2,6,7,19 | |
3 | 3,4,7,8,9,12,18,19 | 3,6,7,19 | 3,7,19 | |
4 | 4,6,7,8,9,18,19 | 2,3,4,6,7,8,9,11,19 | 4,6,7,8,9,19 | |
6 | 2,3,4,6,8,9,12,18,19 | 2,4,6,7,19 | 2,4,6,19 | |
7 | 2,3,4,6,7,8,9,12,18 | 2,3,4,7,8,9,11,12,19 | 2,3,4,7,8,9,12 | |
8 | 4,7,8,9,12,18,19 | 2,3,4,6,7,8,9,19 | 4,7,8,9,19 | |
9 | 4,7,8,9,12,18,19 | 2,3,4,6,7,8,9,11,12,19 | 4,7,8,9,12,19 | |
10 | 10,12,19 | 10 | 10 | |
11 | 2,4,7,9,11,12,19 | 11 | 11 | |
12 | 7,9,12,19 | 2,3,6,7,8,9,10,11,12,18,19 | 7,9,12,19 | V |
18 | 12,18,19 | 2,3,4,6,7,8,9,18,19 | 18,19 | |
19 | 2,3,4,6,7,8,9,12,18,19 | 2,3,4,6,8,9,10,11,12,18,19 | 2,3,4,6,8,9,12,18,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
2 | 2,4,6,7,8,9,18,19 | 2,6,7,11,19 | 2,6,7,19 | |
3 | 3,4,7,8,9,18,19 | 3,6,7,19 | 3,7,19 | |
4 | 4,6,7,8,9,18,19 | 2,3,4,6,7,8,9,11,19 | 4,6,7,8,9,19 | |
6 | 2,3,4,6,8,9,18,19 | 2,4,6,7,19 | 2,4,6,19 | |
7 | 2,3,4,6,7,8,9,18 | 2,3,4,7,8,9,11,19 | 2,3,4,7,8,9 | |
8 | 4,7,8,9,18,19 | 2,3,4,6,7,8,9,19 | 4,7,8,9,19 | |
9 | 4,7,8,9,18,19 | 2,3,4,6,7,8,9,11,19 | 4,7,8,9,19 | |
10 | 10,19 | 10 | 10 | |
11 | 2,4,7,9,11,19 | 11 | 11 | |
18 | 18,19 | 2,3,4,6,7,8,9,18,19 | 18,19 | VI |
19 | 2,3,4,6,7,8,9,18,19 | 2,3,4,6,8,9,10,11,18,19 | 2,3,4,6,8,9,18,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
2 | 2,4,6,7,8,9,19 | 2,6,7,11,19 | 2,6,7,19 | |
3 | 3,4,7,8,9,19 | 3,6,7,19 | 3,7,19 | |
4 | 4,6,7,8,9,19 | 2,3,4,6,7,8,9,11,19 | 4,6,7,8,9,19 | VII |
6 | 2,3,4,6,8,9,19 | 2,4,6,7,19 | 2,4,6,19 | |
7 | 2,3,4,6,7,8,9 | 2,3,4,7,8,9,11,19 | 2,3,4,7,8,9 | |
8 | 4,7,8,9,19 | 2,3,4,6,7,8,9,19 | 4,7,8,9,19 | VII |
9 | 4,7,8,9,19 | 2,3,4,6,7,8,9,11,19 | 4,7,8,9,19 | VII |
10 | 10,19 | 10 | 10 | |
11 | 2,4,7,9,11,19 | 11 | 11 | |
19 | 2,3,4,6,7,8,9,19 | 2,3,4,6,8,9,10,11,19 | 2,3,4,6,8,9,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
2 | 2,6,7,19 | 2,6,7,11,19 | 2,6,7,19 | VIII |
3 | 3,7,19 | 3,6,7,19 | 3,7,19 | VIII |
6 | 2,3,6,19 | 2,6,7,19 | 2,6,19 | |
7 | 2,3,6,7 | 2,3,7,11,19 | 2,3,7 | |
10 | 10,19 | 10 | 10 | |
11 | 2,7,11,19 | 11 | 11 | |
19 | 2,3,6,7,19 | 2,3,6,10,11,19 | 2,3,6,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
6 | 6,19 | 6,7,19 | 6,19 | IX |
7 | 6,7 | 7,11,19 | 7 | |
10 | 10,19 | 10 | 10 | |
11 | 7,11,19 | 11 | 11 | |
19 | 6,7,19 | 6,10,11,19 | 6,19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
7 | 7 | 7,11,19 | 7 | X |
10 | 10,19 | 10 | 10 | |
11 | 7,11,19 | 11 | 11 | |
19 | 7,19 | 10,11,19 | 19 |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
10 | 10,19 | 10 | 10 | |
11 | 11,19 | 11 | 11 | |
19 | 19 | 10,11,19 | 19 | XI |
Issue | Reachability Set | Antecedent Set | Intersection Set | Level |
---|---|---|---|---|
10 | 10 | 10 | 10 | XII |
11 | 11 | 11 | 11 | XII |
Issue | 16 | 17 | 15 | 5 | 13 | 14 | 1 | 12 | 18 | 4 | 8 | 9 | 2 | 3 | 6 | 7 | 19 | 10 | 11 | Driving Power |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
16 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
17 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
15 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 |
5 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 5 |
13 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 5 |
14 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 5 |
1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 10 |
12 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 10 |
18 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 8 |
4 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 11 |
8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 14 |
9 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 14 |
2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 16 |
3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 15 |
6 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 15 |
7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 16 |
19 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 16 |
10 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 9 |
11 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 14 |
Dependence Power | 16 | 11 | 15 | 13 | 16 | 14 | 13 | 11 | 10 | 9 | 9 | 11 | 5 | 4 | 6 | 10 | 12 | 1 | 1 |
Rating | 5 | 4 | 3 | 2 | 1 |
---|---|---|---|---|---|
Issue | Most Important | Above Average | Average | Below Average | Least Important |
1 | 2 | 5 | 24 | 28 | 4 |
2 | 1 | 10 | 33 | 15 | 4 |
3 | 0 | 10 | 34 | 16 | 3 |
4 | 0 | 23 | 28 | 12 | 0 |
5 | 5 | 4 | 29 | 20 | 5 |
6 | 12 | 9 | 34 | 8 | 0 |
7 | 6 | 18 | 34 | 2 | 3 |
8 | 2 | 28 | 15 | 18 | 0 |
9 | 0 | 21 | 30 | 12 | 0 |
10 | 4 | 9 | 50 | 0 | 0 |
11 | 5 | 34 | 22 | 2 | 0 |
12 | 0 | 11 | 30 | 22 | 0 |
13 | 6 | 8 | 22 | 27 | 0 |
14 | 7 | 14 | 30 | 12 | 0 |
15 | 17 | 17 | 18 | 10 | 1 |
16 | 2 | 18 | 13 | 24 | 6 |
17 | 4 | 2 | 18 | 28 | 11 |
18 | 11 | 25 | 25 | 2 | 0 |
19 | 3 | 4 | 50 | 6 | 0 |
Rating | 5 | 4 | 3 | 2 | 1 |
---|---|---|---|---|---|
Issue | Most Important | Above Average | Average | Below Average | Least Important |
1 | 0.1433 | 0.3442 | 4.4057 | 10.8659 | 1.0482 |
2 | 0.0358 | 1.3767 | 8.3295 | 3.1184 | 1.0482 |
3 | 0.0000 | 1.3767 | 8.8420 | 3.5480 | 0.5896 |
4 | 0.0000 | 7.2829 | 5.9966 | 1.9958 | 0.0000 |
5 | 0.8957 | 0.2203 | 6.4326 | 5.5438 | 1.6378 |
6 | 5.1593 | 1.1151 | 8.8420 | 0.8870 | 0.0000 |
7 | 1.2898 | 4.4606 | 8.8420 | 0.0554 | 0.5896 |
8 | 0.1433 | 10.7935 | 1.7210 | 4.4905 | 0.0000 |
9 | 0.0000 | 6.0714 | 6.8839 | 1.9958 | 0.0000 |
10 | 0.5733 | 1.1151 | 19.1219 | 0.0000 | 0.0000 |
11 | 0.8957 | 15.9150 | 3.7020 | 0.0554 | 0.0000 |
12 | 0.0000 | 1.6658 | 6.8839 | 6.7080 | 0.0000 |
13 | 1.2898 | 0.8811 | 3.7020 | 10.1036 | 0.0000 |
14 | 1.7556 | 2.6984 | 6.8839 | 1.9958 | 0.0000 |
15 | 10.3545 | 3.9787 | 2.4782 | 1.3860 | 0.0655 |
16 | 0.1433 | 4.4606 | 1.2926 | 7.9831 | 2.3584 |
17 | 0.5733 | 0.0551 | 2.4782 | 10.8659 | 7.9270 |
18 | 4.3353 | 8.6045 | 4.7805 | 0.0554 | 0.0000 |
19 | 0.3225 | 0.2203 | 19.1219 | 0.4989 | 0.0000 |
Rating | Most Important | Above Average | Average | Below Average | Least Important |
---|---|---|---|---|---|
Instance of each importance | 87 | 270 | 539 | 264 | 37 |
Total of each importance | 435 | 1080 | 1617 | 528 | 37 |
Normalized weight of each importance | 0.1177 | 0.2921 | 0.4374 | 0.1428 | 0.0100 |
Rating | 5 | 4 | 3 | 2 | 1 |
---|---|---|---|---|---|
Issue | Most Important | Above Average | Average | Below Average | Least Important |
1 | 0.0252 | 0.1360 | 1.3506 | 1.1561 | 0.0160 |
2 | 0.0063 | 0.5441 | 2.5576 | 0.3318 | 0.0160 |
3 | 0.0000 | 0.5441 | 2.7152 | 0.3775 | 0.0090 |
4 | 0.0000 | 2.8782 | 1.8400 | 0.2123 | 0.0000 |
5 | 0.1572 | 0.0871 | 1.9741 | 0.5899 | 0.0251 |
6 | 0.9055 | 0.4407 | 2.7152 | 0.0944 | 0.0000 |
7 | 0.2264 | 1.7628 | 2.7152 | 0.0059 | 0.0090 |
8 | 0.0252 | 4.2656 | 0.5248 | 0.4778 | 0.0000 |
9 | 0.0000 | 2.3994 | 2.1129 | 0.2123 | 0.0000 |
10 | 0.1006 | 0.4407 | 5.8773 | 0.0000 | 0.0000 |
11 | 0.1572 | 6.2896 | 1.1341 | 0.0059 | 0.0000 |
12 | 0.0000 | 0.6583 | 2.1129 | 0.7137 | 0.0000 |
13 | 0.2264 | 0.3482 | 1.1341 | 1.0750 | 0.0000 |
14 | 0.3081 | 1.0664 | 2.1129 | 0.2123 | 0.0000 |
15 | 1.8172 | 1.5724 | 0.7577 | 0.1475 | 0.0010 |
16 | 0.0252 | 1.7628 | 0.3930 | 0.8494 | 0.0361 |
17 | 0.1006 | 0.0218 | 0.7577 | 1.1561 | 0.1213 |
18 | 0.7608 | 3.4005 | 1.4659 | 0.0059 | 0.0000 |
19 | 0.0566 | 0.0871 | 5.8773 | 0.0531 | 0.0000 |
max Wi1 | max Wi2 | max Wi3 | max Wi4 | max Wi5 | |
---|---|---|---|---|---|
S+ | 1.8172 | 6.2896 | 5.8819 | 1.1561 | 0.1213 |
min Wi1 | min Wi2 | min Wi3 | min Wi4 | min Wi5 | |
---|---|---|---|---|---|
S− | 0.0000 | 0.0218 | 0.3976 | 0.0000 | 0.0000 |
Issue | ||
---|---|---|
Initial cost of the MH equipment | 10.9437 | 1.7833 |
Load carrying capacity | 10.4622 | 2.6358 |
Programming flexibility of MH equipment | 10.3733 | 2.7948 |
Operational cost | 9.5797 | 3.4227 |
Throughput rate | 10.8597 | 2.0683 |
Capacity to handle different shapes and volumes | 10.3192 | 2.8975 |
Storage/Retrieval MH equipment | 9.7465 | 3.2452 |
Operational control | 9.7077 | 4.3243 |
Automation | 9.6648 | 3.2041 |
Floor space | 9.6956 | 5.8947 |
AGVs/Robots and other advanced MH equipment already present | 9.0706 | 6.3930 |
Number of AGVs required | 10.4161 | 2.3253 |
Layout of AGV tracks | 10.8966 | 1.6169 |
Vehicle dispatching rules | 10.3076 | 2.3961 |
Traffic management | 10.4425 | 2.5240 |
Positioning of idle vehicles | 10.6712 | 1.9964 |
Failure management | 11.3093 | 1.3914 |
Compatibility of MH equipment with other workstations | 9.4341 | 3.7804 |
Comparison with cheap human labour | 9.9357 | 5.8785 |
Issue | Ri |
---|---|
Initial cost of the MH equipment | 0.1401 |
Load carrying capacity | 0.2012 |
Programming flexibility of MH equipment | 0.2122 |
Operational cost | 0.2632 |
Throughput rate | 0.1600 |
Capacity to handle different shapes and volumes | 0.2192 |
Storage/Retrieval MH equipment | 0.2498 |
Operational control | 0.3082 |
Automation | 0.2490 |
Floor space | 0.3781 |
AGVs/Robots and other advanced MH equipment already present | 0.4134 |
Number of AGVs required | 0.1825 |
Layout of AGV tracks | 0.1292 |
Vehicle dispatching rules | 0.1886 |
Traffic management | 0.1947 |
Positioning of idle vehicles | 0.1576 |
Failure management | 0.1096 |
Compatibility of MH equipment with other workstations | 0.2861 |
Comparison with cheap human labour | 0.3717 |
Issue | Ri |
---|---|
AGVs/Robots and other advanced MH equipment already present | 0.4134 |
Floor space | 0.3781 |
Comparison with cheap human labour | 0.3717 |
Operational control | 0.3082 |
Compatibility of MH equipment with other workstations | 0.2861 |
Operational cost | 0.2632 |
Storage/Retrieval MH equipment | 0.2498 |
Automation | 0.2490 |
Capacity to handle different shapes and volumes | 0.2192 |
Programming flexibility of MH equipment | 0.2122 |
Load carrying capacity | 0.2012 |
Traffic management | 0.1947 |
Vehicle dispatching rules | 0.1886 |
Number of AGVs required | 0.1825 |
Throughput rate | 0.1600 |
Positioning of idle vehicles | 0.1576 |
Initial cost of the MH equipment | 0.1401 |
Layout of AGV tracks | 0.1292 |
Failure management | 0.1096 |
© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
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Dixit, S.; Raj, T. A Hybrid MADM Approach for the Evaluation of Different Material Handling Issues in Flexible Manufacturing Systems. Adm. Sci. 2018, 8, 69. https://doi.org/10.3390/admsci8040069
Dixit S, Raj T. A Hybrid MADM Approach for the Evaluation of Different Material Handling Issues in Flexible Manufacturing Systems. Administrative Sciences. 2018; 8(4):69. https://doi.org/10.3390/admsci8040069
Chicago/Turabian StyleDixit, Sandhya, and Tilak Raj. 2018. "A Hybrid MADM Approach for the Evaluation of Different Material Handling Issues in Flexible Manufacturing Systems" Administrative Sciences 8, no. 4: 69. https://doi.org/10.3390/admsci8040069
APA StyleDixit, S., & Raj, T. (2018). A Hybrid MADM Approach for the Evaluation of Different Material Handling Issues in Flexible Manufacturing Systems. Administrative Sciences, 8(4), 69. https://doi.org/10.3390/admsci8040069