Waiting-Line Models

Quantitative ModuleLEARNINGOBJECTIVESWhen you complete this module youshould be able toIDENTIFY OR DEFINE:The assumptions of the four basicwaiting- line modelsDESCRIBE OR EXPLAIN:How to apply Waiting-Line modelsHow to conduct an economic analysis of queuesDWaiting- line ModelsModuleOutlineCHARACTERISTICS OF A Waiting-Line SYSTEMA rrival CharacteristicsWaiting- line CharacteristicsService CharacteristicsMeasuring the Queue s PerformanceQUEUING COSTSTHE VARIETY OF QUEUING MODELSM odel A (M/M/1): Single-Channel QueuingModel with Poisson Arrivals andExponential Service-TimesModel B (M/M/S): Multiple-ChannelQueuing ModelModel C (M/D/1): Constant Service-TimeModelModel D: Limited-Population ModelOTHER QUEUING APPROACHESSUMMARYKEYTERMSUSINGSOFTWARE TOSOLVEQUEUINGPROBLEMSSOLVEDPROBLEMSINTE RNET ANDSTUDENTCD-ROM EXERCISESDISCUSSIONQUESTIONSACTIVEMODELE XERCISEPROBLEMSINTERNETHOMEWORKPROBLEMSC ASESTUDIES: NEWENGLANDFOUNDRY; 5/4/05 2:45 PM Page 743744 MODULEDWAITING-LINEMODELSQ ueuing theoryA body of knowledgeabout waiting line (queue)Items or people in a lineawaiting s EuroDisney, Tokyo s Disney Japan, and the s Disney World and Disneyland all have onefeature in common long lines and seemingly endless waits.

In this section, we take a look at the three parts of a waiting-line, or queuing, system (as shown in Figure D.1): 1. Arrivals or inputs to the system. These have characteristics such as population size, behav-ior, and a statistical distribution. 2. Queue discipline, or the waiting line itself.Characteristics of the queue include whether it

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