Waiting Line Management

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Presentation transcript:

Waiting Line Management Ross L. Fink

Example of Waiting Lines All organizations, both manufacturing and service, have some type of waiting line

Why Do Lines Form? Limited resources--short term Cultural

Waiting Line Costs Cost of service Cost of waiting

Characteristics of Waiting Lines Population Source Finite Infinite Arrivals Pattern Controllable Uncontrollable

Characteristics of Waiting Lines Size of arrivals single batch Distribution of arrival rate Poisson Erlang Degree of patience Patient Impatient

Characteristics of Waiting Lines Length Infinite Limited capacity Number Single Multiple

Characteristics of Waiting Lines Queue discipline First come, first served Reservations first Emergency needs Others

Characteristics of Waiting Lines Service facility Distribution of service time Constant Exponential Erlang Channels Phases

Solution Methods Queuing Theory Simulation

Implications of Service Rate v. Arrival Rate Queuing models are only derived for the situation where service rate is greater than arrival rate (see formulas) If arrival rate greater than service rate--lines approach infinite length over time

Hints for Using Queuing Formulas Make sure that  is service rate (units per time, e.g., customers per hour) that  is arrival rate that  is greater than   and  are in the same time units Understand that system is composed of line and service