Capacity analysis - completed

Capacity analysis - completed - DSC 335 Operations...

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1 DSC 335 DSC 335 Operations Management Instructor: Zhibin Yang Assistant Professor Decision Sciences Department
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2 DSC 335 DSC 335 Roadmap Operations Strategy Process Management Process strategy/analysis Capacity analysis/planning Quality management Lean systems Supply Chain Mgmt. Supply chain dynamics Inventory management Case: Kristen’s Cookie Case: Blanchard Littlefield Game 1 Littlefield Game 2 Beer game Decision Making Tools Waiting line models
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3 DSC 335 Process Capacity Analysis
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4 DSC 335 Outline q Process capacity q Capacity rate, bottleneck analysis q Process performance measure q Cycle time, throughput rate, process buffer, flow time
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5 DSC 335 Process Capacity Rate q Processing time per job at a stage = (average) time taken to complete a unit of job at that stage q Bank teller needs 6 minutes to process a transaction q A nurse needs 5 minutes to finish check-in for a patient q Capacity rate = maximum # jobs completed in a unit time q Capacity rate can measure a stage or the whole process q Capacity rate of a stage (step) = 1/[ processing time per job of the stage]
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6 DSC 335 Examples of processing time and capacity rate of a single stage q On average, it takes a bank teller 6 minutes to serve a client. q Process time / job = 6 minutes q Capacity rate of the teller = 1/6 client / min = 10 clients / hour q A machine processes maximum12 jobs per hour. q Process time / job = 1/12 hour = 5 minutes q Capacity rate of the machine = 12 jobs / hour = 0.2 job / min
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7 DSC 335 q A job can be routed through either server to finish stage 2 of the process q Server 1: capacity rate = r1 jobs/hour; process time per job = 1/r1 hour/job q Server 2: capacity rate = r2 jobs/hour; process time per job = 1/r2 hour/job Capacity rate of parallel (alternative) servers Server 2 Server1 Cap. rate = r1 jobs / hour Cap. rate = r2 jobs / hour Stage 1 Stage 3 Stage 2
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8 DSC 335 q [total capacity rate of stage 2] = (r1+r2) jobs/hour q [average process time per job of stage 2] = 1/(r1 + r2) hour q If the two servers are identical, i.e., r1 + r2 = r q The capacity rate of stage doubles that of the single server q The process time per job halves that of the single server
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9 DSC 335 Bottleneck of a multi-stage process and capacity rate of the whole process q Bottleneck is the stage in a process that has q the lowest capacity rate among all stages q the highest cycle time among all stages q the highest utilization among all stages The capacity rate of the bottleneck = the capacity rate of the process
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10 DSC 335 Bottleneck: a Flow Analog Stage 1 Bottleneck Capacity Rate of the process Stage 2 Stage 3 Stage 4 Job arrivals Job departures Capacity rate of step 3 10 jobs /hr 20 jobs /hr 5 jobs /hr 15 jobs /hr Capacity rate of the process = 5 jobs / hr
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Capacity analysis - completed - DSC 335 Operations...

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