SuppC - Supplement C. Waiting Lines Why Waiting Lines Form...

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Unformatted text preview: Supplement C. Waiting Lines Why Waiting Lines Form Uses of Waiting-Line Theory Structure of Waiting-Line Problems Probability Distributions Using Waiting-Line Models to Analyze Operations Littles Law Decision Areas for Management Why Waiting Lines Form Why Waiting Lines Form Waiting lines form Temporary imbalance between demand and capacity Can develop even if processing time is constant No waiting line if both demand and service rates are constant and service rate > than demand Affects process design, capacity planning, process performance, and ultimately, supply chain performance Queuing Analysis: A Tool for Capacity Planning Components of a queuing system Input source or calling population Customer Population of potential customers Interarrival time Interarrival distribution Arrival discipline The service system Queue or waiting line(s) Queue discipline Service mechanism(s) Service time Service distribution Service performance Server Queue Calling Population Service system Operating Characteristics From management's perspective may include: Utilization of service facility Operating cost of the service system Average number of customers in the system (L) Average number of customers in the queue (Lq) From the customers perspective may include: Average wait time in the system (W) Average wait time in the queue (Wq) Probability that there will be (n) customers in the system Common Queuing Situations Situation Arrivals in Queue Service Process Supermarket Grocery shoppers Checkout clerks at cash register Highway toll booth Automobiles Collection of tolls at booth Doctors office Patients Treatment by doctors and nurses Computer system Programs to be run Computer processes jobs Telephone company Callers Switching equipment to forward calls Bank Customer Transactions handled by teller Machine maintenance Broken machines Repair people fix machines Harbor Ships and barges Dock workers load and unload Outline of Models Two Queuing Models of Interest Two Queuing Models of Interest M/M/1: Single-Channel Queuing Model M/M/1: Single-Channel Queuing Model With Poisson Arrivals and Exponential With Poisson Arrivals and Exponential Service Times Service Times Departures Departures after service after service Single-channel, single-phase system Single-channel, single-phase system Queue Arrivals Arrivals Service facility Your family dentists office Your family dentists office Two Queuing Models of Interest Two Queuing Models of Interest M/M/S: Multiple-Channel Queuing Model M/M/S: Multiple-Channel Queuing Model Multi-channel, single-phase system Multi-channel, single-phase system Arrivals Arrivals Queue Most bank and post office service windows Most bank and post office service windows Departures Departures after service after service Service facility Channel 1 Service facility Channel 2 Service facility Channel 3 Assumptions of these models Calling Population Size is infinite Arrival pattern is random and Poisson Behavior is patient...
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This note was uploaded on 06/06/2011 for the course MGSC 395 taught by Professor Zimmer during the Spring '10 term at South Carolina.

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SuppC - Supplement C. Waiting Lines Why Waiting Lines Form...

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