The turret lath is adequate to accommodate all waiting jobs

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The AB Company has a single “turret lathe” as a key work center on its factory floor. Jobs arrive randomly at this work center at a mean rate of two per day. The processing time to perform each job has an exponential distribution with a mean of 0.25 day if there is a single job. If there is a waiting job, the manager changes the lathes setting to increase the performance so that the average time to process a job has an exponential dist with mean of 1/5 day.(Note that the setting can be changed in between processes, so if a job is started being processed the manager has to wait for the machine to finish processing the job) Because the jobs are bulk, those not being worked on are currently being stores in a room some distance from the machine. However, to save time in fetching the jobs, the production management is proposing to add enough in-process storage space next to the turret lathe to accommodate three jobs, in addition the one being processed. ) Excess jobs will continue to be stored temporarily in the distant room.) Under this proposal, explain what proportion of the time will this storage space next the turret lath is adequate to accommodate all waiting jobs?

Reference no: EM13990044

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