Automated Transfer Line An automated transfer line has 20 stations and an ideal cycle time of 1.0 min. Probability of a station failure is p = 0.01 , and the average downtime when a breakdown occurs is 10 min. Determine the (a) average production rate Rp and (b) line efficiency E .

Question

Automated Transfer Line

An automated transfer line has 20 stations and an ideal cycle time of 1.0 min. Probability of a station failure is p = 0.01 , and the average downtime when a breakdown occurs is 10 min. Determine the (a) average production rate [latex]R_p[/latex] and (b) line efficiency E .

Accepted Answer

The frequency of breakdowns on the line is given by F = pn = 0.01(20) = 0.20 .

The actual average production time is [latex]T_p[/latex] = 1.0 + 0.20(10) = 3.0 min

(a) Production rate is [latex]R_p=\frac{60}{T_p}=\frac{60}{3.0}[/latex] = 20 pc/hr

Note that this is far lower than the ideal production rate: [latex]R_c=\frac{60}{T_c}=\frac{60}{1.0}[/latex] = 60 pc/hr

(b) Line efficiency is E [latex]=\frac{T_c}{T_p}=\frac{1.0}{3.0}[/latex] = 0.333 = 33.3%

Question 38.2: Automated Transfer Line An automated transfer line has 20 st...

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