SIMULATION OPTIMIZATION FOR ANALYSIS OF SUSTAINABLE LOGISTICS SYSTEMS

Silva, Fábio Freitas da; Rangel, João José de Assis; Peixoto, Túlio Almeida; Matias, Ítalo de Oliveira; Tavares, Eder Reis

doi:10.1590/0101-7438.2017.037.01.0145

Fábio Freitas da Silva

Universidade Candido Mendes (UCAM-Campos), 28030-335 Campos dos Goytacazes, RJ, Brasil. E-mails: fabio1_freitas@hotmail.com; joao.rangel@ucam-campos.br; tulioap@gmail.com; italo@ucam-campos.br; ederreis-@hotmail.com

João José de Assis Rangel ^**Corresponding author.

Universidade Candido Mendes (UCAM-Campos), 28030-335 Campos dos Goytacazes, RJ, Brasil. E-mails: fabio1_freitas@hotmail.com; joao.rangel@ucam-campos.br; tulioap@gmail.com; italo@ucam-campos.br; ederreis-@hotmail.com

Túlio Almeida Peixoto

Universidade Candido Mendes (UCAM-Campos), 28030-335 Campos dos Goytacazes, RJ, Brasil. E-mails: fabio1_freitas@hotmail.com; joao.rangel@ucam-campos.br; tulioap@gmail.com; italo@ucam-campos.br; ederreis-@hotmail.com

Ítalo de Oliveira Matias

Universidade Candido Mendes (UCAM-Campos), 28030-335 Campos dos Goytacazes, RJ, Brasil. E-mails: fabio1_freitas@hotmail.com; joao.rangel@ucam-campos.br; tulioap@gmail.com; italo@ucam-campos.br; ederreis-@hotmail.com

Eder Reis Tavares

Universidade Candido Mendes (UCAM-Campos), 28030-335 Campos dos Goytacazes, RJ, Brasil. E-mails: fabio1_freitas@hotmail.com; joao.rangel@ucam-campos.br; tulioap@gmail.com; italo@ucam-campos.br; ederreis-@hotmail.com

*Corresponding author.

Config.	Transp.	Exper. 1 (h)	Exper. 2 (h)	Exper. 3 (h)	Config.	Transp.	Exper. 1 (h)	Exper. 2 (h)	Exper. 3 (h)
1	S1-M	8.45	1.73	4.42	3	S1-M	8.45	1.73	4.42
	S2-M	12.45	1.75	2.58		S2-M	12.45	1.75	2.58
	S3-M	7.02	1.88	1.77		S3-M	7.02	1.88	1.77
	M-C1	3.45	3.00	1.82		M-C1	3.45	3.00	1.82
	M-C2	3.17	3.32	3.37		C1-C2	6.57	5.65	4.58
2	S1-S2	4.77	3.27	1.43	4	S1-S2	4.77	3.27	1.43
	S2-S3	7.25	2.23	0.97		S2-S3	7.25	2.23	0.97
	S3-M	7.02	1.88	1.77		S3-M	7.02	1.88	1.77
	M-C1	3.45	3.00	1.82		M-C1	3.45	3.00	1.82
	C1-C2	6.57	5.65	4.58		M-C2	3.17	3.32	3.37

Variable	Weight	P1	P2	P3	P4	P5	P6
Lead Time	X	0.70	0.20	0.20	0.60	0.30	0.30
Transport Time	Y	0.20	0.70	0.10	0.30	0.60	0.10
Total Emission	Z	0.10	0.10	0.70	0.10	0.10	0.60
Total	1.0	1.0	1.0	1.0	1.0	1.0	1.0

Variable	Weight	P7	P8	P9	P10	P11	P12	P13	P14	P15
Lead Time	X	0.40	0.26	0.79	0.65	0.40	0.62	0.19	0.51	0.05
Transport Time	Y	0.27	0.38	0.12	0.22	0.25	0.11	0.37	0.24	0.27
Total Emission	Z	0.33	0.36	0.09	0.13	0.35	0.27	0.44	0.25	0.68
Total	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0

	Simulatio nTime (s)	Simulation Optimization Time (s)
Scenario 1	0.521	39.00
Scenario 2	0.460
Scenario 3	0.406
Scenario 4	0.329
Total	1.716	39.00

Experiment 1	Config. 1	S. D	Config. 2	S. D	Config. 3	S. D	Config. 4	S. D
Lead Time	82.39	2.64	102.29	3.77	67.55	1.80	90.84	3.12
Transport Time	12.61	0.71	29.03	1.40	19.15	1.45	22.68	0.98
Emission	33279.27	3320.65	48533.00	2414.92	45093.52	3334.84	59311.46	2991.23
Experiment 2	Config. 1	S. D	Config. 2	S. D	Config. 3	S. D	Config. 4	S. D
Lead Time	78.15	5.39	88.69	0.54	64.31	1.11	78.16	0.86
Transport Time	5.02	0.10	16.23	0.30	10.58	0.27	10.67	0.18
Emission	14080.18	348.10	24117.10	426.55	17433.39	446.46	23176.13	334.60
Experiment 3	Config. 1	S. D	Config. 2	S. D	Config. 3	S. D	Config. 4	S.D
Lead Time	77.71	5.42	84.31	0.513	63.08	1.124	75.64	1.01
Transport Time	5.41	0.30	10.6	0.412	9.32	0.74	6.75	0.29
Emission	15129.92	1002.67	16022.39	505.64	17720.12	1189.96	16840.10	562.92

Prioritizing Lead Time
Criteria&Weights-1	Config. 1	Config. 2	Config. 3	Config. 4
Lead Time (0.7)	57.22	71.60	47.28	63.59
Transport Time (0.2)	2.52	5.81	3.83	4.54
Total Emission (0.1)	3.33	4.85	4.51	5.93
Total	63.07	82.26	55.62	74.05
Prioritizing Transport Time
Criteria&Weights-2	Config. 1	Config. 2	Config. 3	74.05	Config. 4
Lead Time (0.2)	16.35	20.23	13.51	18.17
Transport Time (0.7)	8.82	20.32	13.40	15.87
Total Emission (0.1)	3.33	4.85	4.51	5.93
Total	28.50	45.41	31.42	39.97
Prioritizing Total Emission
Criteria&Weights-3	Config. 1	Config. 2	Config. 3	39.97	Config. 4
Lead Time (0.2)	16.35	20.23	13.51	18.17
Transport Time (0.1)	1.26	2.90	1.91	2.27
Total Emission (0.7)	23.29	33.97	31.57	41.52
Total	40.90	57.11	46.99	61.95

Weights	Conf.	Lead Time	Transport Time	Total Emission	Total	Weights	Conf.	Lead Time	Transport Time	Total Emission	Total
4	1	49.04	3.78	3.33	56.15	7	1	32.43	3.44	10.99	46.86
	2	60.70	8.71	4.85	74.26		2	40.13	7.93	16.03	64.08
	3	40.53	5.74	4.51	50.78		3	26.80	5.23	14.89	46.92
	4	54.50	6.80	5.93	67.24		4	36.03	6.19	19.59	61.81
5	1	24.52	7.56	3.33	35.41	8	1	21.35	4.82	11.85	38.02
	2	30.35	17.42	4.85	52.62		2	26.43	11.11	17.28	54.82
	3	20.26	11.49	4.51	36.26		3	17.65	7.33	16.05	41.03
	4	27.25	13.61	5.93	46.79		4	23.73	8.68	21.11	53.52
6	1	24.52	1.26	19.97	45.75		-
	2	30.35	2.90	29.12	62.37
	3	20.26	1.91	27.06	49.24
	4	27.25	2.27	35.59	65.11

Weights	Simulation Optimization	AHP
Weight 4	Configuration 3	Configuration 3
Weight 5	Configuration 1	Configuration 1
Weight 6	Configuration 1	Configuration 1
Weight 7	Configuration 1	Configuration 3
Weight 8	Configuration 1	Configuration 1
Weight 9	Configuration 3	Configuration 3
Weight 10	Configuration 3	Configuration 3
Weight 11	Configuration 1	Configuration 3
Weight 12	Configuration 3	Configuration 3
Weight 13	Configuration 1	Configuration 1
Weight 14	Configuration 3	Configuration 3
Weight 15	Configuration 1	Configuration 1

Module	Description		Module	Parameters
E1	Responsible for the creation of entities			T. Arrivals: Const. (1 h)
				T. First Arrival: 0.0 h
				Max. Arrivals: 20
X	Decide			Type: N-way-by-condition
				Expression (1) if true: c= = 1
				Expression (2) if true: c= = 2
				Expression (3) if true: c= = 3
				Expression (4) if false
Configuration 1			Configuration 2
LD	Adds an attribute to the model	Type: Attribute	L0	Adds a variable to the model	Type: variable
		Attribute Name: leadtime			Variable Name: C2S2
		Value: TNOW			Value: C2S2+1
X	Decides	Type: N-way-by-chance	L1	Hold	Expression if true:
		1-Rate if true %: 30			C2S2<=7
		2-Rate if true %: 30
		3-Rate if: false
F1	Executes a process	Type: Expression	LD	Adds an attribute to the model	Type: Attribute
		Value: (20,000/4,000)			Attribute Name: leadtimeS2
					Value: TNOW
F2	Executes a process	Type: Expression	F1	Executes a process	Type: Expression
F2	Executes a process	Value: (20,000/6,000)	F1	Executes a process	Value: (20000/4000)
F3	Executes a process	Type: Expression	F2	Executes a process	Type: Expression
F3	Executes a process	Value: (23,000/4,000)	F2	Executes a process	Value: (25000/6000)
F4	Executes a process	Type: Expression	F3	Executes a process	Type: Expression
F4	Executes a process	Value: (20,000/6,000)	F3	Executes a process	Value: (10000/4000)
F5	Executes a process	Type: Expression	F4	Executes a process	Type: Expression
F5	Executes a process	Value: (10,000/4,000)	F4	Executes a process	Value: (55000/6000)
F6	Executes a process	Type: Expression	F5	Executes a process	Type: Expression
F6	Executes a process	Value: (10,000/6,000)	F5	Executes a process	Value: (50000/4000)
X	Decide	Type: 2-way-by-chance	J	Jump	-
		1-Rate if true %: 50
		2-Rate if: false
F7	Executes a process	Type: Expression	F6	Executes a process	Type: Expression
F7	Executes a process	Value: (46,000/4,000)	F6	Executes a process	Value: (25000/6000)
F8	Executes a process	Type: Expression	F7	Executes a process	Type: Expression
F8	Executes a process	Value: (46,000/4,000)	F7	Executes a process	Value: (25000/6000)
F9	Executes a process	Type: Expression	C1	Calculates the emissions	Variable name: var1S2
		Value: (23,000/4,000)			Time(h):NORM(4.77,1.5)
					Emissions coefficient: 1.5
					Power: 265
					Load(kg): 20,000
					Legal Combined Total Whole
					Weight(kg): 56,000
F10	Executes a process	Type: Expression	C2	Calculates the emissions	Variable name: var1S2
		Value: (23,000/4,000)			Time(h):NORM(7.25,2.0)
					Emissions coefficient: 1.5
					Power: 265
					Load(kg): 45,000
					Legal Combined Total Whole
					Weight(kg): 56,000
C1	Calculates the emissions	Variable name: var1	C3	Calculates the emissions	Variable name: var1S2
		Time(h):NORM(8.85,2.0)			Time(h):NORM(7.02,2.0)
		Emissions coefficient: 1.5			Emissions coefficient: 1.5
		Power: 136			Power: 265
		Load(kg): 20,000			Load(kg): 55,000
		Legal Combined Total Whole			Legal Combined Total Whole
		Weight(kg): 30,000			Weight(kg): 56000
C2	Calculates the emissions	Variable name: var1	C4	Calculates the emissions	Variable name: var1S2
		Time(h):NORM(12.45,3.0)			Time(h):NORM(3.17,1.0)
		Emissions coefficient: 1.5			Emissions coefficient: 1.5
		Power: 136			Power: 265
		Load(kg): 23,000			Load(kg): 50,000
		Legal Combined Total Whole			Legal Combined Total Whole
		Weight(kg): 30,000			Weight(kg): 56000
C3	Calculates the emissions	Variable name: var1	C5	Calculates the emissions	Variable name: var1S2
		Time(h):NORM(7.02,1.5)			Time(h):NORM(6.57,2.0)
		Emissions coefficient: 1.5			Emissions coefficient: 1.5
		Power: 136			Power: 265
		Load(kg): 10,000			Load(kg): 25,000
		Legal Combined Total Whole			Legal Combined Total Whole
		Weight(kg): 30,000			Weight(kg): 56000
C4	Calculates the emissions	Variable name: var1	T1	Adds a variable to the model	Type: variable
		Time(h):NORM(3.45,1.0)			Variable Name: sumS2
		Emissions coefficient: 1.5			Value: EMISSION_LEAD_
		Power: 136			_TIME+sumS2
		Load(kg): 10,000
		Legal Combined Total Whole
		Weight(kg): 30,000
C5	Calculates the emissions	Variable name: var1	T2	Adds a variable to the model	Type: variable
		Time(h):NORM(3.17,1.0)			Variable Name: countS2
		Emissions coefficient: 1.5			alue: countS2+1
		Power: 136
		Load(kg): 23,000
		Legal Combined Total Whole
		Weight(kg): 30,000
T1	Adds a variable to the model	Type: variable	T3	Adds a variable to the model	Type: variable
		Variable Name: sum			Variable name: transportS2
		Value: EMISSION_LEAD_			Value: sumS2/(count)
		TIME+soma
T2	Adds a variable to the model	Type: variable	R1	Lead	Type: Time Interval
		Variable Name: count		Time	Attribute: leadtimeS2
		Value: count+1
-	-	-	R1 up to R7	Resource	Capacity 1
T3	Adds a variable to the model	Type: variable	-
		Variable Name: transport
		Value: sum/(count)
R1	Lead	Type: Time interval
R1	Time	Attribute: leadtime
R1 up to R9	Resource	Capacity 1

Weights	Conf.	Lead Time	Transport Time	Total Emission	Total	Weights	Conf.	Lead Time	Transport Time	Total Emission	Total
4	1	49.04	3.78	3.33	56.15	10	1	53.35	2.81	4.13	60.29
	2	60.70	8.71	4.85	74.26		2	66.03	6.48	6.02	78.53
	3	40.53	5.74	4.51	50.78		3	44.09	4.28	5.59	53.96
	4	54.50	6.80	5.93	67.24		4	59.29	5.06	7.35	71.71
5	1	24.52	7.56	3.33	35.41	11	1	32.70	3.15	11.65	47.49
	2	30.35	17.42	4.85	52.62		2	40.46	7.26	16.99	64.71
	3	20.26	11.49	4.51	36.26		3	27.02	4.79	15.78	47.59
	4	27.25	13.61	5.93	46.79		4	36.33	5.67	20.76	62.76
6	1	24.52	1.26	19.97	45.75	12	1	50.32	1.44	8.99	60.75
	2	30.35	2.90	29.12	62.37		2	62.27	3.32	13.11	78.70
	3	20.26	1.91	27.06	49.24		3	41.58	2.19	12.18	55.95
	4	27.25	2.27	35.59	65.11		4	55.92	2.59	16.03	74.53
7	1	32.43	3.44	10.99	46.86	13	1	15.82	4.72	14.38	34.91
	2	40.13	7.93	16.03	64.08		2	19.57	10.87	20.97	51.41
	3	26.80	5.23	14.89	46.92		3	13.07	7.17	19.48	39.72
	4	36.03	6.19	19.59	61.81		4	17.58	8.49	25.62	51.69
8	1	21.35	4.82	11.85	38.02	14	1	41.30	3.08	8.33	52.71
	2	26.43	11.11	17.28	54.82		2	51.11	7.10	12.15	70.35
	3	17.65	7.33	16.05	41.03		3	34.13	4.68	11.29	50.10
	4	23.73	8.68	21.11	53.52		4	45.90	5.54	14.84	66.28
9	1	64.22	1.61	2.90	68.72	15	1	4.27	3.35	22.68	30.31
	2	79.47	3.70	4.22	87.39		2	5.29	7.72	33.08	46.09
	3	53.07	2.44	3.92	59.43		3	3.53	5.10	30.74	39.36
	4	71.36	2.89	5.16	79.41		4	4.75	6.03	40.43	51.21

[1] *Corresponding author.

Brasil

Brasil

SIMULATION OPTIMIZATION FOR ANALYSIS OF SUSTAINABLE LOGISTICS SYSTEMS

ABSTRACT