L15_UHS - Slide 1 Recap L11-L14: Queuing System Consequence...

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Unformatted text preview: Slide 1 Recap L11-L14: Queuing System Consequence of variability Waiting - waiting time problem : infinite buffer, no abandonment Throughput loss- loss problem : no buffer, loss flow rate Computation Flow unit? Resource? What unit to use? Demand description: inter arrival time ( a ), average demand rate ( 1/a ), coefficient of variability ( CVa ) Supply description: number of resources ( m ), average process time ( p ), capacity of each resource ( 1/p ), coefficient of variability ( CVp ) Implied utilization u = p / ma Offer rate = p / a = mu Formula waiting time / Table loss probability Slide 2 Recap L11-L14: Performance Improvement Reduce waiting Pooling (why? when to/not to?) Arrival process (e.g., appointment system) Priority rule (SPT, restrictions) Service process (time variability, quality) Reduce loss Buffer or suffer trade-off loss with waiting Infinite buffer average cycle time = no variability Blocked by next step /starved by previous step Other measures to avoid loss Slide 3 Lecture 15 University Health Services: Walk-In Clinic Slide 4 Le a rning O b je c tive s A practical example of a process that involves waiting lines Understand the impact of staffing and scheduling Manage supply-constrained services Slide 5 Ba c kg ro und Medical care to Harvard University students, staff, faculty and their dependents Prepaid service mostly Therefore time and quality of service are the only two dimension patients care about 24-hour emergency facility 1 inpatient infirmary 4 outpatient clinics (including walk-in clinic) Other specialized services Walk-In Clinic: acute medical and surgical problems on a first-come-first- served basis 2 million dollars budget 22 Physicians 13 Nurses Slide 6 Wa lk-In C linic Monday to Friday: 8am to 5:30 pm. Saturday: 8am-12:45pm 22 Physicians 12 hours out of 40 spent working in walk-in clinic 150 physician-hours available per week...
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L15_UHS - Slide 1 Recap L11-L14: Queuing System Consequence...

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