4. (*10 points) Answer ANY ONE of the following: (i) Pre-emptive Machine Breakdo

Question

4. (*10 points) Answer ANY ONE of the following: (i) Pre-emptive Machine Breakdown: Consider an automated security test (e.g explosives-scanning) station for checked baggage at CVG, the Cincinnati-Northern Kentucky airport. The test workstation, composed of two machines, has a base-case test capacity of 2.6 bags per minute. The SCV of the base processing time of the test operation is co-0.5. The machine is subject to random failure with MTTF, mf= 8 hours and MTTR, mr= 20 minutes. You are told that the SCV of the effective processing time, c2. (after incorporating machine failures) is that corresponds to Answer: CV of repair times, c OR (ii) Littlefield Game: In the Littlefield game play, the average effective process times at each station was not known. Based on the initial data available from days 1-50, clearly explain how you could estimate the average processing time at the board stuffing station 1. Specify the data you would download from the game play and explain how you would use this data to estimate the average effective processing tin On

Explanation / Answer

Availability of the machine

A = mf / mf + mr = 8x60 / 8x60 +20 = 480/500 = 0.96

Capacity of one machine at the test station = 2.6 / 2 = 1.3 bags per minute

t0 = 1/1.3 min. = 0.77 min.

Ce2 = C02 + ( 1+Cr2) A ( 1-A) mr / t0

5.5 =0.5+ ( 1+Cr2) x0.96 x ( 1-0.96) x 20 / 0.77

5 = (1+Cr2) x0.96x0.04x20 / 0.77

5 = ( 1+cr2) x1

Gives Cr2 = 4. and Cr =2

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