Paving_operations_queueing_example

Paving_operations_queueing_example - Virginia Tech (A.A....

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Unformatted text preview: Virginia Tech (A.A. Trani) CEE 3604 Introduction to Transportation Engineering Finite Source Stochastic Queues Paving Operations 1 Virginia Tech (A.A. Trani) Example # 6 Paving Operations A paving operation can be represented using a fnite source queue In the paving operation, pavers are the servers and the trucks carrying the paving material are the customers (i.e., sometimes called calling units) Pavers move slowly and For this problem can be represented as static Trucks load and unload material at two locations: a) paver si t e and b) at the material collection site 2 Virginia Tech (A.A. Trani) Paving Operation Schematic Asphalt Collection Site Pavers Empty truck Images: Caterpillar (www.cat.com ) To collection site To paving site Loaded truck 3 Virginia Tech (A.A. Trani) Equations for Finite Source Queue Page 68 in Queueing Theory Handout M = Total number of customers to be served 4 Virginia Tech (A.A. Trani) Equations for Finite Source Queue where: 5 Virginia Tech (A.A. Trani) Numerical Example (Paving Operation) Asphalt Collection Site Two Pavers Empty truck speed = 75 km/hr Loaded truck speed = 60 km/hr 15 trucks used to haul asphalt 15 km 15 km Service time 4 minutes Queueing System 6 Virginia Tech (A.A. Trani)Virginia Tech (A....
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Paving_operations_queueing_example - Virginia Tech (A.A....

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