LEC01 Modeling and Hist NEW

LEC01 Modeling and Hist NEW - Probability Branch of...

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Probability Branch of mathematics that deals with uncertainty Repeat an operation again and again Each time the outcome is different How to operate efficiently with uncertainty
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Systems Driven By Uncertainty Testing Queuing Inventory Scheduling Reliability Every context possible – manufacturing Security transportation food service, public service, 2
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Queuing – No randomness Constant interarrival and service times Time between arrivals 2 mins Time to serve customer 2 mins Find average waiting time if first arrival at t=0 and service begins at t=0 Find average waiting time if arrivals start at t=0 and service at t=1 Find average waiting time if arrivals start at t=0 and service at t=2 3
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Queuing with Random Interarrival and Service Times Exponential interarrival and service times AVERAGE Time between arrivals 2 mins AVERAGE Time to serve customer 2 mins Find AVERAGE waiting time over the next year Uncertain Events 4 Does every customer wait 29.6 seconds?
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Probability Distribution Two Important Numbers that Summarize a Distribution o mean o standard deviation 5
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This note was uploaded on 02/27/2011 for the course ECO 102 taught by Professor Laxa,z during the Spring '11 term at Rider.

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LEC01 Modeling and Hist NEW - Probability Branch of...

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