Identification of Contamination Control Strategy for Fluid Power System Using an Inexact Chance-Constrained Integer Program

Table 8

(a) Results for optimized system cost and filter-replacement period under high ingression/generation rate (8 hours per day) (when 𝑝₁=0.10). (b) Results for optimized system cost and filter-replacement period under high ingression/generation rate (8 hours per day) (when 𝑝₂=0.15). (c) Results for optimized system cost and filter-replacement period under high ingression/generation rate (8 hours per day) (when 𝑝₃=0.20). (d) Results for optimized system cost and filter-replacement period under high ingression/generation rate (8 hours per day) (when 𝑝₄=0.30).

(a)  

Scenario	Optimized system cost (RMB ¥)	Replacement period of filter element (days)
		𝑘=1	𝑘=2	𝑘=3	𝑘=4
1	[53500,59150]	—	—	[12,17]	[98,105]
2	[59000,67400]		[7,9]
3	[49950,56550]		[17,47]	[26,27]
4	—	—			—
5	[50600,55850]	[71,110]		[16,22]	[107,114]
6	[38250,39750]	[19,88]	[19,46]
7	[42250,47800]	[24,33]	[17,47]	[27,70]

(b)  

Scenario	Optimized system cost (RMB ¥)	Replacement period of filter element (days)
		𝑘=1	𝑘=2	𝑘=3	𝑘=4
1	[52150,59150]	—	—	[12,18]	[101,108]
2	[50750,57950]		[22,22]
3	[45000,51350]		[7,17]	[48,69]
4	—	—			—
5	[50600,55100]	[74,115]		[16,23]	[110,117]
6	[36350,35700]	[26,65]	[13,22]
7	[40600,43200]	[32,88]	[17,269]	[42,49]

(c)  

Scenario	Optimized system cost (RMB ¥)	Replacement period of filter element (days)
		𝑘=1	𝑘=2	𝑘=3	𝑘=4
1	[49450,58000]	—	—	[13,20]	[105,116]
2	[47450,55250]		[16,58]
3	[42000,50000]		[34,80]	[34,75]
4	—	—			—
5	[46350,53950]	[77,121]		[17,25]	[115,126]
6	[35000,34950]	[14,61]	[46,67]
7	[38400,43200]	[18,54]	[34,46]	[92,136]

(d)  

Scenario	Optimized system cost (RMB ¥)	Replacement period of filter element (days)
		k = 1	k = 2	k = 3	k = 4
1	[35500,38800]	—	—	[24,34]	[196,209]
2	[34250,37700]		[13,18]
3	[30300,32700]		[47,65]	[27,192]
4	[54850,59100]	[40,44]			[16,21]
5	[35850,36700]	[132,142]		[31,44]	[214,227]
6	[24200,23700]	[65,112]	[22,37]
7	[26700,28450]	[33,71]	[47,65]	[97,187]