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Waiting Line Management

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.

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Waiting Line Management

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  1. Waiting Line Management Ross L. Fink

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

  3. Why Do Lines Form? • Limited resources--short term • Cultural

  4. Waiting Line Costs • Cost of service • Cost of waiting

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

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

  7. Characteristics of Waiting Lines • Line • Length • Infinite • Limited capacity • Number • Single • Multiple

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

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

  10. Solution Methods • Queuing Theory • Simulation

  11. 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

  12. 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

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