OMS 311 Notecard - M/M/1: Tq= Iq / Isys = Tsys = sys /...

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M/M/1: T q = I q / λ I sys = λ/(μ-λ29 T sys = Ι sys / λ = 1 / (μ-λ29 ρ = λ/μ M/D/1: I q = λ 2 / 2μ(μ-λ29 T q = I q / λ I sys = I q +λ/μ T sys = Ι sys / λ M/M/C: I sys = I q +λ/μ T sys = Ι sys / λ T q = I q / λ Throughput Rate = Min(demand rate or capacity rate) Little’s Law: -Can aggregate for 2 or more products. -Is based on averages. -Can be used for individual processes or the whole system. -High WIP = long thruput Bottleneck: -Determines the throughput rate of the system. -Cycle time is given by the bottleneck’s processing time. -If demand < supply, process is demand constrained -If demand > supply, supply constrained PK Concepts: -Actual Flow Time increases at a faster rate as utilization gets closer to 1, and also increases as variability increases Output=Available time/cycle time -cycle time given by bottleneck processing time. Time to fulfill X units = X / Flow Rate OM Triangle: -capacity, inventory, and variability reduction (information) are substitute ways to provide customer service. Variability Causes: -dec Thru Rate, lost efficiency, inc congestion, longer delays -as buffer size inc, block & starv dec, util inc, thru time inc. Capacity = Capacity rate = 1/Cycle time Inventory Build-up at rate: Demand Rate - Capacity Rate Flow time efficiency: Theoretical flow time / Actual flow time Value Added Services: -Builds relationships with customers -Differentiates org form competition 4 Classifications: - Information: furnish critical data, adds internal and external cost - Problem Solving: help internal and external groups solve problems, especially with quality - Sales Support: enhance sales and marketing efforts - Field Support: Ability to replace defective parts quickly or replenish inventory quickly Core Service Objectives: -Quality, flexibility, Speed, and Price Competitive Strategy: -Choosing a different set of activities to deliver a unique mix of value 3 major components: - Operations effectiveness: Quality initiatives, process redesign, tech investments - Customer Management: understand and leverage cust. relationaships - Product Innovation: New products, mkts, and relationships to sustain growth Operations Strategy: -Broad policies for using resources for long term competitive strategy; includes: - Process design : selection of tech, time,
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This note was uploaded on 04/01/2008 for the course OMS 311 taught by Professor All during the Winter '07 term at University of Michigan.

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OMS 311 Notecard - M/M/1: Tq= Iq / Isys = Tsys = sys /...

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