I gave up on it, it's too complicated for me. I hate searching through all the players to find active affordable players.
I gave up on it, it's too complicated for me. I hate searching through all the players to find active affordable players.
Apparently, I have been declared banished.
With another week gone by, the optimal team has changed. Well, not really, because I'm assuming 7 trades, and that's enough to completely change your roster once. So trades only become a problem next week. Anyway, here's that optimal team:
Week 1
QB Daunte Culpepper
QB Peyton Manning
RB Tatum Bell
RB LaMont Jordan
WR Kevin Curtis
WR Reggie Wayne
DEF Minnesota
Week 2
QB Donovan McNabb
QB Michael Vick
RB Corey Dillon
RB Warrick Dunn
WR Kevin Curtis
WR Marcus Robinson
DEF Atlanta
This combination of players would have resulted in 5148 total points, and cost $34.34 million the first week, and $34.25 million the second week. Now, what happens if you aren't allowed any trades? I know our game isn't like that, but it is a common game played. So using this scoring system, here's that optimal team:
QB Marc Bulger
QB Daunte Culpepper
RB Tatum Bell
RB Warrick Dunn
WR Kevin Curtis
WR Reggie Wayne
DEF New York Jets
This team costs $33.12 million, and would have earned you 3774 points so far. As you can see, trades are important. Just wait until later weeks.
Last edited by Relena Peacecraft; 01-18-2005 at 03:18 AM.
How do you figure this stuff out Aexo? It's fascinating.
Proud to be the Unofficial Secret Illegal Enforcer of Eyes on Final Fantasy!
When I grow up, I want to go toBovineTrump University! - Ralph Wiggum
I find this information through the magic of integer programming (a variant of linear programming that requires some or all variables to be integers), the same technique/tool I used to calculate playoff scenarios earlier in the season. For those of you who aren't in the know, and who actually care, you can read an inroduction at http://en.wikipedia.org/wiki/Linear_programming.
The short version is that you either maximize or minimize a given variable based on various mathematical constraints. In this case, I maximize the point value, while constraining the total cost to be under $35 million and having 2 of each position, and 1 defense, etc.
I have very little experience (the first one I did was the playoff scenarios for the fantasy league), so it took me some time to finally figure out a way to write the trade limit constraint in a linear way. Even then, it's kind of hacky, but it does work.
Anyway, I'll be quiet before I blab on about more stuff 3.5 people in the world care about.
Ok, exactly zero of you posted since then, but I find it a little ridiculous to edit a post from a week ago, so I'm going to make a new one. Anyway, the optimized teams as of the Conference Championship games are now in. What crazy secrets do they hold? You'll have to read to find out.
As you can see, 6 trades were made after week 1, and the remaining trade was made after week 2. This combination overall would have been worth 6677 total points. If would have cost $34.34 million in week 1, $33.99 million in week 2, and $34.73 million in week 3. You would have been the envy of millions. But alas, it isn't so.Code:Week 1 Week 2 Week 3 QB Daunte Culpepper Donovan McNabb Donovan McNabb QB Peyton Manning Ben Roethlisberger Ben Roethlisberger RB Tatum Bell Corey Dillon Corey Dillon RB LaMont Jordan Warrick Dunn Warrick Dunn WR Kevin Curtis Kevin Curtis Kevin Curtis WR Reggie Wayne Marcus Robinson Deion Branch DEF Minnesota New England New England
For those of you who like a challenge, here's the no-trades-allowed team:
QB Daunte Culpepper
QB Marc Bulger
RB Tatum Bell
RB Warrick Dunn
WR Kevin Curtis
WR Reggie Wayne
DEF Philadelphia
This team would cost you $34.01 million, and would net only a lousy 4087 points. For reference, that's just barely more than 300 more than the best team last week. The fact that not a single team that played the first week played the third week really hurts the effort. But oh well, it's in the past now. I'll conclude this little excursion after the Superbowl, though we may not see much change. We'll see.
forgot to update my team, I did. Ah well. This isn't as fun as the regular league, in my opinion.
yea, this thing is kinda weird, but interesting. At least I'm beating RSL.
See? I don't always win.
Proud to be the Unofficial Secret Illegal Enforcer of Eyes on Final Fantasy!
When I grow up, I want to go toBovineTrump University! - Ralph Wiggum
With the Superbowl over, we can now find out just how badly we did relative to the optimum team. Of course, since we seem to lack psychics, no one chose this team. No one. in the entire game, spanning lots and lots of people. Pfft.
This the best team you could have possibly fielded for the entire playoff season, assuming you had seven trades to use as needed:
Six trades were made after the first week, and the remaining trade was used after the second week. The same team was used for weeks 3 and 4. This combination would have earned you a total of 8071 points. If would have cost you $34.34 million in week 1, $32.16 million in week 2, and $34.98 million for weeks 3 and 4. But you didn't, and you lost.Code:Week 1 Week 2 Weeks 3 & 4 QB Daunte Culpepper Tom Brady Tom Brady QB Peyton Manning Ben Roethlisberger Ben Roethlisberger RB Tatum Bell Brian Westbrook Brian Westbrook RB LaMont Jordan Corey Dillon Corey Dillon WR Kevin Curtis Kevin Curtis Deion Branch WR Reggie Wayne Greg Lewis Greg Lewis DEF Minnesota New England New England
For those of you who like a challenge, here's the no-trades-allowed team:
QB Tom Brady
QB Ben Roethlisberger
RB Brian Westbrook
RB Corey Dillon
WR Deion Branch
WR Kevin Curtis
DEF New England
Interestingly, only one of those players even played in week 1. This shows that 3 weeks of Superbowl players is worth a lot more than a great performance by Culpepper in week 1. This team has a cost of $34.98 million, representing just about as close as you could get to the cap. It would have earned you 5133 points, which is good enough for third in our league.
More changed than I anticipated, but it mostly reflected the cumulation of average performances by Superbowl players, who had 3 weeks to play, which was the most anyone played. This made their value higher, and shoved out some of other players. I hope this was marginally interesting for someone. With any luck, I won't have to do any more weird math-related stuff for a few months.
Great season everyone. Now, just a month or so until baseball!
Take care all.
Posting Permissions
Reply With Quote
