Krajewski SN Supplement C - Supplement C Waiting Lines A....

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Unformatted text preview: Supplement C Waiting Lines A. Why Waiting Lines Form 1. Define customers in waiting lines. 2. Why waiting lines form? 3. When do no waiting lines form? B. Uses of Waiting-Line Theory 1. Service is the act of processing a customer (or manufacturing job). 2. Examples: C. Structure of Waiting Line Problems 1. Customer population 2. The service system SN:C-1 SN:C-2 Waiting Lines Arrangement of service facilities Single-channel, single-phase Single-channel, multiple-phase Multiple-channel, single-phase Multiple-channel, multiple-phase Mixed arrangement Service facility 3 Service facility 4 Service facility 1 Service facility 2 Routing for : 1 Routing for : 1 24 Routing for : 2 Routing for : 2 43 Routing for : 3 Routing for : 3 214 Mixed Arrangement Mixed Arrangement 3. Priority rule a. b. c. Waiting Lines SN:C-3 D. Probability Distributions 1. Arrival distribution 2. Customer arrivals can often be described by the Poisson distribution with mean = T and variance also = T a. Arrival rate: b. Interarrival times ( 29 T n n e n T P - = ! , 2 , 1 , = n for Where = n P Probability of n arrivals in T time periods = Average numbers of customer arrivals per period = e 7183 . 2 3. Service time distribution can be described by an exponential distribution with mean = 1/ and variance = (1/ ) 2 a. Service time: ( 29 T e T t P -- = 1 Where = Average number of customers completing service per period = t Service time of the customer = T Target service time b. The exponential distribution assumes that each service time is independent of those that preceded it. SN:C-4 Waiting Lines E. Using Waiting Line Models to Analyze Operations 1. Waiting line operating characteristics...
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This note was uploaded on 12/19/2009 for the course MANAGEMENT 00123 taught by Professor Ahmed during the Spring '09 term at Albany College of Pharmacy and Health Sciences.

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Krajewski SN Supplement C - Supplement C Waiting Lines A....

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