A multi-state network to evaluate network reliability with maximal and minimal capacity vectors by using recursive sum of disjoint products
•A multi-state network (MSN) model is constructed for expert systems.•The MSN is evaluated with both maximal and minimal capacity vectors.•Reliability evaluation is formulated by the sum of disjoint products.•A procedure is built with a recursive function and simplified processes.•Experiments show t...
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| Published in: | Expert systems with applications Vol. 193; p. 116421 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
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Elsevier Ltd
01.05.2022
Elsevier BV |
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| ISSN: | 0957-4174, 1873-6793 |
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| Abstract | •A multi-state network (MSN) model is constructed for expert systems.•The MSN is evaluated with both maximal and minimal capacity vectors.•Reliability evaluation is formulated by the sum of disjoint products.•A procedure is built with a recursive function and simplified processes.•Experiments show the procedure efficiency by a real project management case.
This paper applies a multi-state network (MSN) model with multi-state capacity to evaluate network reliability with both maximal and minimal capacity vectors for real-life applications. To be specific, the proposed MSN model can be embedded in the practically related expert systems, especially in project networks, manufacturing, and supply chain. In the early works, the estimated network reliability with maximal and minimal capacity vectors and the exact value for the MSNs were measured based on an interval approach and inclusion and exclusion (IE) principle, respectively. Owing to the computational inefficiency, the early works are inappropriate to be integrated into practical expert systems. In this paper, a more efficient procedure based on the sum of disjoint products (SDP) principle calculates the exact network reliability. Additionally, a recursive function with simplified processes is developed to achieve the efficiency of reliability evaluation. By using a practical project network case with several numerical experiments, efficiency investigation reveals that the SDP-based procedure outperforms the IE-based approach in terms of efficiency under all the experiments. The proposed SDP-based procedure can achieve over 30 times (and reach up to 5,000 times) faster than the IE-based approach. That is, based on the proposed procedure, the reliability evaluation of practical applications such as project management can be implemented. |
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| AbstractList | •A multi-state network (MSN) model is constructed for expert systems.•The MSN is evaluated with both maximal and minimal capacity vectors.•Reliability evaluation is formulated by the sum of disjoint products.•A procedure is built with a recursive function and simplified processes.•Experiments show the procedure efficiency by a real project management case.
This paper applies a multi-state network (MSN) model with multi-state capacity to evaluate network reliability with both maximal and minimal capacity vectors for real-life applications. To be specific, the proposed MSN model can be embedded in the practically related expert systems, especially in project networks, manufacturing, and supply chain. In the early works, the estimated network reliability with maximal and minimal capacity vectors and the exact value for the MSNs were measured based on an interval approach and inclusion and exclusion (IE) principle, respectively. Owing to the computational inefficiency, the early works are inappropriate to be integrated into practical expert systems. In this paper, a more efficient procedure based on the sum of disjoint products (SDP) principle calculates the exact network reliability. Additionally, a recursive function with simplified processes is developed to achieve the efficiency of reliability evaluation. By using a practical project network case with several numerical experiments, efficiency investigation reveals that the SDP-based procedure outperforms the IE-based approach in terms of efficiency under all the experiments. The proposed SDP-based procedure can achieve over 30 times (and reach up to 5,000 times) faster than the IE-based approach. That is, based on the proposed procedure, the reliability evaluation of practical applications such as project management can be implemented. This paper applies a multi-state network (MSN) model with multi-state capacity to evaluate network reliability with both maximal and minimal capacity vectors for real-life applications. To be specific, the proposed MSN model can be embedded in the practically related expert systems, especially in project networks, manufacturing, and supply chain. In the early works, the estimated network reliability with maximal and minimal capacity vectors and the exact value for the MSNs were measured based on an interval approach and inclusion and exclusion (IE) principle, respectively. Owing to the computational inefficiency, the early works are inappropriate to be integrated into practical expert systems. In this paper, a more efficient procedure based on the sum of disjoint products (SDP) principle calculates the exact network reliability. Additionally, a recursive function with simplified processes is developed to achieve the efficiency of reliability evaluation. By using a practical project network case with several numerical experiments, efficiency investigation reveals that the SDP-based procedure outperforms the IE-based approach in terms of efficiency under all the experiments. The proposed SDP-based procedure can achieve over 30 times (and reach up to 5,000 times) faster than the IE-based approach. That is, based on the proposed procedure, the reliability evaluation of practical applications such as project management can be implemented. |
| ArticleNumber | 116421 |
| Author | Lin, Yi-Kuei Chang, Ping-Chen Huang, Ding-Hsiang |
| Author_xml | – sequence: 1 givenname: Ding-Hsiang surname: Huang fullname: Huang, Ding-Hsiang organization: Department of Industrial Engineering and Enterprise Information, Tunghai University, Taichung City 407, Taiwan – sequence: 2 givenname: Ping-Chen surname: Chang fullname: Chang, Ping-Chen organization: Department of Industrial Engineering and Management, National Quemoy University, Kinmen County 892, Taiwan – sequence: 3 givenname: Yi-Kuei surname: Lin fullname: Lin, Yi-Kuei email: yklin@nctu.edu.tw organization: Department of Industrial Engineering and Management, National Yang Ming Chiao Tung University, Hsinchu 300, Taiwan |
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| Cites_doi | 10.1016/j.eswa.2008.08.078 10.1016/j.ress.2019.106578 10.1016/j.apm.2015.10.004 10.1109/TR.2015.2452573 10.1016/j.jal.2013.05.005 10.1016/j.ress.2019.106744 10.1109/TR.1985.5222235 10.3390/math7111115 10.1080/24725854.2017.1351044 10.1016/j.amc.2017.05.043 10.1016/j.ejor.2016.12.030 10.1016/j.ins.2019.02.004 10.1016/j.ress.2016.08.026 10.1016/S0951-8320(02)00038-8 10.1007/978-3-030-52488-3_1 10.1016/j.amc.2019.125024 10.1007/s11518-017-5343-7 10.1080/00207219108921308 10.1016/j.ress.2017.05.032 10.1080/24725854.2017.1410598 10.1109/TR.2017.2713704 10.1016/j.eswa.2019.112841 10.1109/TR.2015.2430491 |
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| Keywords | Maximal capacity vectors Multi-state network (MSN) Minimal capacity vectors Project management Sum of disjoint products (SDP) |
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| Snippet | •A multi-state network (MSN) model is constructed for expert systems.•The MSN is evaluated with both maximal and minimal capacity vectors.•Reliability... This paper applies a multi-state network (MSN) model with multi-state capacity to evaluate network reliability with both maximal and minimal capacity vectors... |
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| SubjectTerms | Efficiency Expert systems Maximal capacity vectors Minimal capacity vectors Multi-state network (MSN) Network reliability Project management Recursive functions Reliability analysis Sum of disjoint products (SDP) Supply chains System reliability |
| Title | A multi-state network to evaluate network reliability with maximal and minimal capacity vectors by using recursive sum of disjoint products |
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