US Open is traditionally slam where organizers only care about unofficial star-power ranking (or USA market value) of tennis player before create daily courts schedule. For example, on this season's Wimbledon even GOAT Federer or favorite home player Murray not played all opening 4 rounds on Centre Court, WTA superstar Sharapova played only once at Centre Court till R16 and Serena played twice on 3rd Wimby Court at opening 4 rounds... etc... Such things are simple impossible in New York, so we have 5 players which reach R16 this season which all 4 matches played on Arthur Ash Stadium (Serena, Sharapova, Federer, Djokovic and favorite home ATP player Roddick) and two players played already 3 matches on Ash (Ivanovic and Murray). Two currently low ranked WTA legends Clijsters and Venus unfortunately is out early, but of course that they played all theirs 2+2 matches on Ash, unlike for example currently ATP#4 Ferrer or WTA#5 Kvitova which both reach R16 but not played any match on USO biggest stadium!
Thats how things always works in New York, but that means that USO schedule is always good indicator of players "star-power".
Here is USO/2012 schedule of all 16 WTA players involved into this season R16 where A
-is Arthur Ash, L
-is Louis Armstrong, G
-is Grandstand, and P
-is Parking courts (all others).
For more clear view WHO IS WHO
there, i create some kind of "rating" where for every player with 1pt is counted when she is scheduled on Grandstad, with 2 when she is scheduled on L.A., and 4pt when she is scheduled on Ash (and no points for little parking
US Open 2012 schedule
R128 R64 R32 R16 pts WTA players name
A A A A 16 Serena Williams USA (4)
A A A A 16 Maria Sharapova RUS (3)
G A A A 13 Ana Ivanovic SRB (12)
L A A L 12 Victoria Azarenka BLR (1)
A L A L 12 Samantha Stosur AUS (7)
A G A L 11 Aga Radwanska POL (2)
P A L L 8 Angelique Kerber GER (6)
P A L L 8 Laura Robson GBR
G L G G 5 Petra Kvitova CZE (5)
P P G A 5 Nadia Petrova RUS (19)
P P G A 5 Andrea Hlavackova CZE
P P L L 4 Roberta Vinci ITA (20)
P P P A 4 Tsvetana Pironkova BUL
P G P L 3 Sara Errani ITA (10)
G P P G 2 Marion Bartoli FRA (11)
P P P L 2 Anna Tatishvili GEO
A - Arthur Ash stadium
L - Louis Armstrong stadium
G - Grandstand
P - other courts
IMPORTANT NOTE: This method is good and relevant, but not perfect of course. For example young Laura Robson has big benefits for drawing in opening 4 rounds 3 big WTA names (Kim, Li Na and Stosur), Ana Ivanovic which is 3 times scheduled on Ash last 3 rounds playing against around #50 unseeded players in 1st round draws out of TOP150 ranked qualifier which is simple too much (so she draws Grandstand in that case), and for example Hlavackova, Petrova and Pironkova is "lucky" to draw in 4th round Serena, Maria and Ana, and of course that is only reason why they scheduled once Ash. But overall speaking this USO/2012 star-power "standings" are pretty much relevant and representative.