Supplier selection and evaluation model proposal for industrial maintenance based on Fuzzy-TOPSIS

Calache, Lucas Daniel Del Rosso; Pedroso, Carolina Belotti; Lima Junior, Francisco Rodrigues; Carpinetti, Luiz César Ribeiro

Lucas Daniel Del Rosso Calache

Departamento de Engenharia de Produção, Escola de Engenharia de São Carlos, Universidade de São Paulo – USP, Av. Trabalhador São-carlense, 400, Parque Arnold Schimidt, CEP , São Carlos, SP, Brasil, e-mail: lucascalache@gmail.com

https://orcid.org/0000-0002-0706-917X

Carolina Belotti Pedroso

Departamento de Engenharia de Produção, Escola de Engenharia de São Carlos, Universidade de São Paulo – USP, Av. Trabalhador São-carlense, 400, Parque Arnold Schimidt, CEP , São Carlos, SP, Brasil, e-mail: lucascalache@gmail.com

https://orcid.org/0000-0001-9520-6885

Francisco Rodrigues Lima Junior

Departamento de Gestão e Economia, Universidade Tecnológica Federal do Paraná – UTFPR, Campus Curitiba, Av. Sete de Setembro, 3165, Rebouças, CEP , Curitiba, PR, Brasil

https://orcid.org/0000-0001-7053-5519

Luiz César Ribeiro Carpinetti

Departamento de Engenharia de Produção, Escola de Engenharia de São Carlos, Universidade de São Paulo – USP, Av. Trabalhador São-carlense, 400, Parque Arnold Schimidt, CEP , São Carlos, SP, Brasil, e-mail: lucascalache@gmail.com

https://orcid.org/0000-0002-8357-2607

Selected criteria	Description
Preventive maintenance cost (C1)	Sum of the total and direct costs with preventive maintenance in a given period. Maintenance values performed periodically.
Corrective maintenance cost (C2)	Sum of the total and direct costs with corrective maintenance in a given period. Maintenance values performed on an emergency and non-scheduled basis.
Predictive maintenance cost (C3)	Sum of the total and direct costs with predictive maintenance in a given period. Inspection values of monitored parameters and performed maintenance if necessary.
Opportunity cost for production loss (C4)	Represents implicit costs and seeks to analyze what is proposed, allowing to act on results. Cost of non-produced units due to unplanned outages.
Management cost (C5)	It represents the administrative costs. It can represent direct costs related to maintenance management and also implicit costs such as those related to flexibility and relationship.
OEE- Overall Equipment Effectiveness (C6)	It takes into account performance, availability, and equipment quality.
MTTF- Mean Time to Failure (C7)	Estimated time for the interval between failures of a no repairable component.
MTBF – Mean Time Between Failures (C8)	Estimated time for the interval between failures of a repairable component.
MTTR- Mean Time To Repair (C9)	Represents the average time elapsed for the equipment repair.
Conformity (C10)	Represents if whether was requested has been accomplished.
Number of processes /improvements (C11)	Criteria for evaluating the identification of opportunities for improvement and development of processes and procedures.
Safety (C12)	Safety offered to employees and the environment, seeking satisfaction in the workplace.

Linguistic terms	Triangular Fuzzy Number
Linguistic terms	l	m	u
Very Low (VL)	0.00	0.00	0.25
Low (L)	0.00	0.25	0.50
Medium (M)	0.25	0.50	0.75
High (H)	0.50	0.75	1.00
Very High (VH)	0.75	1.00	1.00

DM 1	C1	C2	C3	C4	C5
Alternative 1	VH	VH	M	VH	H
Alternative 2	L	L	VH	L	L
Weight vector	VH	VH	H	H	H

DM 2	C1	C2	C3	C4	C5
Alternative 1	M	L	M	H	H
Alternative 2	L	VL	L	H	H
Weight vector	VH	VH	VH	M	M

DM 3	C1	C2	C3	C4	C5
Alternative 1	M	L	M	L	M
Alternative 2	M	M	M	M	M
Weight vector	VH	VH	VH	M	M

DM 1	C6	C7	C8	C9	C10	C11	C12
Alternative 1	M	VL	M	M	VH	VH	VH
Alternative 2	L	VH	L	L	L	L	L
Weight vector	H	M	M	M	VH	VH	VH

DM 2	C6	C7	C8	C9	C10	C11	C12
Alternative 1	M	L	M	M	H	M	M
Alternative 2	H	L	H	M	VH	VH	H
Weight vector	M	L	L	M	VH	M	VH

DM 3	C6	C7	C8	C9	C10	C11	C12
Alternative 1	L	L	L	L	M	M	M
Alternative 2	M	M	L	M	H	H	H
Weight vector	M	L	L	M	VH	VH	VH

Normalized and weighted values	C1			C2			C3			C4			C5
Normalized and weighted values	l	m	u	l	m	u	l	m	u	l	m	u	l	m	u
Alternative 1	0.50	0.80	1.00	0,38	0.75	1.00	0.33	0.67	1.00	0.50	0.80	1.00	0.45	0.73	1.00
Alternative 2	0.20	0.40	0.70	0.13	0,38	0.75	0.44	0.78	1.00	0.30	0.60	0.90	0.27	0.55	0.82
Weights	0.75	1.00	1.00	0.75	1,00	1.00	0.67	0.92	1.00	0.33	0.58	0.83	0.33	0.58	0.83

Normalized and weighted values	C6			C7			C8
Normalized and weighted values	l	m	u	l	m	u	l	m	u	l	m	u	l	m	u	l	m	u	l	m	u
Alternative 1	0.07	0.32	0.74	0.00	0.07	0.32	0.02	0.21	0.58	0.06	0.31	0.75	0.41	1.00	1.00	0.29	0.67	0.92	0.38	0.80	1.00
Alternative 2	0.11	0.39	0.83	0.04	0.26	0.58	0.02	0.21	0.58	0.06	0.31	0.75	0.34	0.73	0.91	0.29	0.67	0.92	0.30	0.70	1.00
Weights	0.33	0.58	0.83	0.08	0.33	0.58	0.08	0.33	0.58	0.25	0.50	0.75	0.75	1.00	1.00	0.58	0.83	0.92	0.75	1.00	1.00

$D_{i}^{+}$	C1	C2	C3	C4	C5	Sum
Alternative 1	0.38	0.44	0.50	0.58	0.60	2.50
Alternative 2	0.63	0.65	0.44	0.66	0.68	3.05

$D_{i}^{-}$	C1	C2	C3	C4	C5	Sum
Alternative 1	0.77	0.74	0.69	0.56	0.55	3.31
Alternative 2	0.47	0.49	0.73	0.48	0.44	2.61

$D_{i}^{+}$	C6	C7	C8	C9	C10	C11	C12	Sum
Alternative 1	0.57	0.79	0.67	0.58	0.20	0.45	0.38	3.64
Alternative 2	0.52	0.64	0.67	0.58	0.29	0.45	0.44	3.59

$D_{i}^{-}$	C6	C7	C8	C9	C10	C11	C12	Sum
Alternative 1	0.47	0.19	0.36	0.47	0.85	0.68	0.77	3.79
Alternative 2	0.53	0.37	0.36	0.47	0.70	0.68	0.73	3.83

	Approximation Coefficient	Ranking
Alternative 1	0.57	1
Alternative 2	0.46	2

	Approximation Coefficient	Ranking
Alternative 1	0.49	2
Alternative 2	0.50	1

μ_{A} (x) = \{\begin{matrix} 0 f o r x < l, \\ \frac{x - a}{m - a} f o r a \leq x \leq m, \\ \frac{u - x}{u - m} f o r m \leq x \leq u, \\ 0 f o r x > u . \end{matrix}

\tilde{D} = \begin{matrix} A_{1} \\ A_{j} \\ A_{n} \end{matrix} [\begin{matrix} {\tilde{X}}_{11} & {\tilde{X}}_{1 j} & {\tilde{X}}_{1 m} \\ ⋮ & ⋮ & ⋮ \\ {\tilde{X}}_{n 1} & {\tilde{X}}_{n j} & {\tilde{X}}_{n m} \end{matrix}]

{\tilde{r}}_{i j} = (\frac{l_{i j}}{u_{j}^{+}}, \frac{m_{i j}}{u_{j}^{+}}, \frac{u_{i j}}{u_{j}^{+}}), u_{j}^{+} = \max_{i} u_{i j} (b e n e f i t s c r i t e r i a)

{\tilde{r}}_{i j} = (\frac{l_{j}^{-}}{u_{i j}}, \frac{l_{j}^{-}}{m_{i j}}, \frac{l_{j}^{-}}{l_{i j}}), l_{j}^{-} = \min_{i} l_{i j} (c o s t s c r i t e r i a)

[1] Source: Adapted from Picanto et al. (2014)Picanto, A. R. S., Risso, L. A., Silva, A., & Simões, V. H. F. (2014). Balanced Scorecard para o controle e gestão de indicadores de manutenção industrial. In Anais do XXI Simpósio de Engenharia de Produção. Bauru: UNESP..

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Supplier selection and evaluation model proposal for industrial maintenance based on Fuzzy-TOPSIS

Abstract: