1. MATSim Location Choice for Shopping and Leisure Activities: Ideas and Open Questions A. Horni IVT ETH Zürich September 2008

2. 2 Location Choice – Challenges and Open Questions # agents # shopping/leisure opportunities is huge Relaxation process (random choice) impeded Somehow limit search space without impairing search algorithm # NE large Multiple runs analysis J.H.: Ensemble Activity types -> differentiation Utility function: Store size Capacity restraints

3. 3 Location Choice – Limit Search Space Tie location choice and time choice Plan iteration i (Sec loc) Loc, time: fixed (Work) Loc, time: fixed (Home) Limitation of choice set Locations with t travel ≤ t budget Traveltime budget Time geography STP

4. 4 Activity space/ choice set (iteration i) Time– Space Traveltime budget Infrastructure Travel speed

5. 5 Choice Set Construction - Time Geography Based on GIS-PPA- Algorithm Scott, 2006 Choice drawn from implicit choice set Chains of secondary activities

6. 6 r = t budget /2 * v Check all locations t travel ≤ t budget → choice set Check ∑t travel ≤ t budget Random choice

7. 7 Facility Capacity Restraints Time-dependend restraint function Penalty term Descriptive→ explicative Stability of algorithm

8. 8 Scenario ZH

9. 9 Configurations

10. 10 Simulation Results – Travel Times

11. 11 Simulations-Resultate

12. 12 Simulation Results

13. 13 Simulation Results

14. 14 Simulation Results – Computation Time [s]/it (500 its) ConfigurationMobsimReplanningSum 158113594 249849547 352950579 436582447

15. 15 Prob(choice set)? plan memory it_start to it_end

16. 16 Location Choice – Open Questions Assumption Time choice Probabilistic choice of plans Open question: Choice from universal choice set needed? Travel time budget decreases during the course of iterations Glattzentrum Assumption: P(distance, distance, distance + other factors) Preconditions for valid solution: Global search Locations more likely chosen where people more likely shop

17. 17 Nest steps Validation basis (visitor freqs,...) Utility function extension Hypothesis testing Hierarchy of activities in PPA instead of chronological order