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- 2. Find the shortest path from point A to ALL points in the network, list each route and the time it takes. You should have 6 routes in total. a 8 b 6 10 C 15 d 9 14 4 e 13 f 17 7 6.0 gProblem 2. Dijkstra's Algorithm Find the minimum cost (time) path from node A to all other nodes in the network shown below: 1-45 North US 290 I-610 A 3.5 min 20 min 2.0 min 15 min I-10 West 4.0 min 3.0 min 3.0 min US 59 K 4.0 min Solve the problem using the Dijkstra algorithm. Apply the notation explained in the lecture.Instructions. For the given data, provide the following. Complete Network Diagram highlighting the critical path and showing ES, LS, EF, LF Identify the paths, their duration and slack Provide the table showing ES, LS, EF, LF, TF, FF and remarks. Given: A, B, and C are starting activities D follows A while E follows C B, D and E precede J K and F cannot start until B, D and E are completed G follows C and precedes H and I • H and I cannot proceed until F is completed L follows K and precedes N J precedes P, M and S H, I, and P must be completed before Q can start Land M must be completed before N can start O follows N while R follows Q • R, O and S are ending activities Dummy activity x is provided after activity I
- For one of the construction projects, draw the (PERT) network diagram and find the following:Complete Network Diagram highlighting the critical path and showing ES, LS, EF, LF Identify the paths, their duration and slack Provide the table showing ES, LS, EF, LF, TF, FF and remarks. Given: A, B, and C are starting activities D follows A while E follows C B, D and E precede J K and F cannot start until B, D and E are completed G follows C and precedes H and I H and I cannot proceed until F is completed L follows K and precedes N J precedes P, M and S H, I, and P must be completed before Q can start L and M must be completed before N can start O follows N while R follows Q R, O and S are ending activities Dummy activity x is provided after activity IInstructions. For the given data, provide the following. Complete Network Diagram highlighting the critical path and showing ES, LS, EF, LF Identify the paths, their duration and slack Provide the table showing ES, LS, EF, LF. TF. FF and remarks. Given: A, B, and Care starting activities D follows A while E follows C B. D and E precede J Kand F cannot start until B, D and E are completed • G follows C and precedes H and I H and I cannot proceed until Fis completed Lfollows K and precedes N • J precedes P, M and S H. I. and P must be completed before Q can start Land M must be completed before N can start O follows N while R follows Q R,O and S are ending activities Dummy activity x is provided after activity I NORMAL TIME ACTIVITY ES LS EF LF TF FF REMARKS 12 5n 3. 4. 10 M. 6. 3.
- Example: The figure represents travel times on the link connecting six zonal centroids. Determine the minimum path from each zone to each other zone. Use the all-or-nothing assignment method to determine the total trips for each link after all of the trips from the following two-way trip table have been loaded onto the network. From/To 1 1 0 2 3 4 5 6 3.3 4.3 5 4.8 3 Trips Between Zones 2 1000 0 7.2 2.2 3 1100 1050 0 12.6 6 7.8 5.0 4 400 700 5 1000 1100 1200 1150 0 800 0 5.0 1 8.4 2 6 1300 1200 1600 400 700 0Consider the network shown in Figure 1. The demand between nodes A and B is 160 vph whereas the demand between A and C is 80 vph. The link travel time functions are: Link 1: T, = 10+5v, Link 2: T, = 30+2v, %3D Link 3: T, = 30+2v3 Link 4: T, = 5+ 2v, %3D Determine the UE solution by equating path travel times.Q3: For the information shown below, draw the network diagram by using AOA method and prepare a table containing ES, EF, LS, LF, TF, and critical path. Activity Preceded A В D E F G H I J K L M в D С, G F, H, I, К, L A A A В B E E by Duration J 4 1 3 3 3 2 3 1
- For one of the construction projects, draw the (PERT) network diagram and find the following: What is the probability of completion of the project in 17.5 months? Duration (month) b Actv. a 5-10 2 4 6. 5-15 4 9. 10-20 4 4 7 10-25 10-30 4 6. 15-25 3.5 5.5 7.5 15-30 3 6. 6. 20-35 6. 9. 12 25-35 5 8. 30-35Given the AON network in the Figure, determine the ES, EF, LS, LF, TF, and FF of each activity. Also indicate the critical path on the network. Start to Start SS 7 FS8 S 3 F K FF 3 10 4 10 S 4 S FF 3 FS 1 E H J L A B 5 2 10 4 4 FF 4 G S 5 3 S 3 D I 4 9Given the following transportation network with travel time in minutes: 3 2 2. 3 4 3 The trip production from TAZ 3 is 1,000. The trip attractions from TAZ 3 to all other zones are shown below: From/To 1 500 2 300 4 Trip Attraction 300 The minimum path from zone 3 to zone 1 is: Links 3-4, 4-1 5 min Links 3-2, 2-1 Link 3-1