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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