A new transfer line is being planned. From experience, the line designer believe

Question

A new transfer line is being planned. From experience, the line designer believes workstation reliabilities can be devided into three types of stations. Type 1 stations fail about every 1000 cycles and average 10 minutes for repair. Type 2 stations fail every 500 cycles on average and take 5 minutes to repair. Type 3 stations fail only once in about 100,000 cycles but take on the order of 1 hour to repair. The current line design has 6 type 1 stations, 5 type 2 stations, and 20 type 3 stations. No buffers are planned. Cycle time for this design is 0.5 minutes. Estimate the lines's effectiveness. State your assumptions.

Explanation / Answer

Available time of stations = Number of cycles per failure * Cycle time - MTTF

Available time of type 1 stations = 1000*0.5 - 10 = 490

Available time of type 2 stations = 500*0.5 - 5 = 245

Available time of type 3 stations = 100000*0.5 - 60 = 49940

Line's effectiveness = (6*(490/500) + 5*(245/250) + 20*(49940/50000))/(6+5+20) = 0.9921

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.