02q2sol - Massachusetts Institute of Technology

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Massachusetts Institute of Technology 1.203J/6.281J/13.665J/15.073J/16.76J/ESD.216J Logistical and Transportation Planning Methods Fall 2002 Quiz 2 Solutions (Larson 2002) (a) With probability 0.3, the emergency occurs on one of the two links incident to the garage location of ambulance 2. In this case, the travel distance is U(0 , 1). With probability 0.7, the emergency occurs on one of the two links not incident to the garage location of ambulance 2. In this case, the travel distance is U(1 , 2). Accordingly, as shown in Figure 1, the conditional pdf of the travel distance for ambulance 2 to travel to the scene of the emergency incident is f D ( d )= 0 . 3 ,d [0 , 1) 0 . 7 [1 , 2] f D (d) 0.7 0.3 2 1 0 d Figure 1: Conditional pdf of Travel Distance (b) The state transition diagram for this system is shown in Figure 2, where first component of the state indicates whether ambulance 2 is busy and the second component indicates whether ambulance 1 is busy. We can thus write the following balance equations. Page 1 of 6
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Massachusetts Institute of Technology 1.203J/6.281J/13.665J/15.073J/16.76J/ESD.216J Logistical and Transportation Planning Methods Fall 2002 1 0.7 1 1 1 0,1 0,0 1,1 1,0 1 0.3 1 Figure 2: State Transition Diagram P 0 , 0 (0 .
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/08/2011 for the course AERO 16.72 taught by Professor Hansman during the Fall '06 term at MIT.

Page1 / 6

02q2sol - Massachusetts Institute of Technology

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online