Bport TV repair shop receives an average of four TV sets per 8-hour day to be re

Question

Bport TV repair shop receives an average of four TV sets per 8-hour day to be repaired. You being the service manager would like to tell the customers that they can expect their TV back in 3 days. What average repair time per set will the repair shop hve to achieve to provide 3-day service on the average? (Assume that the arrival rate is Poisson distributed and the repair times are exponentially distributed. ) Bport TV repair shop receives an average of four TV sets per 8-hour day to be repaired. You being the service manager would like to tell the customers that they can expect their TV back in 3 days. What average repair time per set will the repair shop hve to achieve to provide 3-day service on the average? (Assume that the arrival rate is Poisson distributed and the repair times are exponentially distributed. )

Explanation / Answer

Arrival rate, = 4 per 8 hour period = 4/8 = 0.5 per hour

Time the TV is in repair shop = 72 hours

Avg Service rate, µ =?

Avg time a TV is in shop = 1 /(µ - )

= 72 = 1/(µ -0.5)

µ = 1/72 + 0.5 = 0.513 = 30.83 minutes

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

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