Session 7 Waiting Line Theory

Session 7 Waiting Line Theory - 1 Waiting Line Theory...

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Unformatted text preview: 1 Waiting Line Theory BUAD311 Session 7 2 Objectives Classification of waiting line systems Formula/macro for waiting line calculation Terminology and Classification of Waiting Lines Terminology : The characteristics of a queuing system is captured by five factors: Arrival pattern (ex. Distribution of interarrival time) Service pattern (Distribution of service time) Number of server Restriction on queue capacity (ex. Capacity of the waiting room) The queue discipline Terminology and Classification of Waiting Lines The queue discipline The way customers are selected from the line Define a queuing system by Example Poisson and exponential # of customers coming following a Poisson distribution with mean , interarrival time is exponentially distributed with mean 1/ . Terminology and Classification of Waiting Lines M/M/2 - Exponential interarrival times, exponential service times, 2 severs M/G/8 Exponential interarrival times, general service times, 8 servers Arrival Pattern / Service Pattern / # of Servers / Queue Capacity Notation: M: Exponential G: General (Any distribution) 6 We are interested to evaluate.. Average waiting time in line and in the system The average number of orders (customers) waiting in line and in the system The utilization of server(s). 7 What are the Key Information? You are managing a local GAP store. Customers are complaining about long waits. It may be difficult to gather waiting time data. 8 Waiting Line Performance Evaluation Notation: Arrival rate: (10 cust. per hour) Average interarrival time: 1/ (1 /1 0 hr = 6 min 29 Service rate: (12 cust....
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Session 7 Waiting Line Theory - 1 Waiting Line Theory...

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