Thursday, December 11, 2008

route choice and genetic algortihm based simulations for control optimization

route choice is a system derived component where it could depend on many variables starting from a synchronic option available to users through advanced ITS devices or through external factros.

For example, a set of competing objectives will always encounter when we try to design and implement a framework using a complex system based on any heuristic approach. Be it a game theory problem, a problem initiated by operations management theory, or a simple logit math where we use utilities to compute the probablities, the competing objectives will always add complexities to the script in hand.

Another good example of competing objective problem is global air traffic system where the operations manager would optimize the system based on what is best for all the operators in the air traffic system. On the other hand, the traveler may choose his route regardless of what is best for the whole traffic system. Instead the traveler may opt for the route that is most congested, but shortest for him. It appears that there is a parallel existence of user equilibrium and susytem optimum here.

The question then would be if the equilibrium state would exist in a given traffic system; this question may open a bundle of many unanswered questions that are only theoretically investogated in the past by researchers. Some key questions that come to my mind at least include

1. Does the equilibrium state exist in global network of air traffic system?
2. Is there existence of User Equilibrium, and System Optimum? Do they co-exist?
3. Can a real life air traffic system be simulated to get these equilibrium conditions, and how do we regress the benefits of this equilibrium?
4. How the equilibrium system can take of the burden of high air traffic off of some of the nation's busiest airports...or may be in some cases world's busiest airports?
5. How does it help in terms of golbal environment, and energy savings?
6. Are we expecing a change in technology in near future?

In any case real life simulation of these airtraffic conditions are necessary to understand the benefits of UE and SO flows which are being tested on theoretical levels right now by the researchers.

It could be agood research extension of my doctoral research work.

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