ACR X HAD LTSS FROM ACR Y. SYS ERROR. TCASII TA RA EVASIVE ACTION NOT TAKEN. FLC VIGILANCE HAD RA ACFT VISUALLY.

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CHICAGO CENTER; ON FREQ 134.02; CLRED ACR X DIRECT TO FAM AT FL350 (FL390 FILED ALT AND WAS REQUESTED BUT CENTER WAS UNABLE DUE TO TFC). JUST E OF BDF CHICAGO CENTER ASKED US FOR A TIGHT L TURN OF 40 DEG (FROM 210 DEG L TO 170 DEG) FOR XING TFC AT FL350. TFC WAS NOTED AT THE EXTREME RANGE OF TCASII AND VISUAL AT 1 O'CLOCK PASSING WELL CLR TO OUR R. WE THEN ADVISED CENTER OF A SECOND ACFT AT FL350 IN OUR 1 O'CLOCK POS OBSERVED BOTH VISUAL AND ON TCASII. NO FURTHER TURNS OR ALT CHANGES WERE GIVEN BY ATC. TCASII INDICATED A MIN OF 2 MI WITH RA TO CLB AS THE XING ACFT PASSED L TO R. EVASIVE ACTION WAS NOT TAKEN AS VISUAL CONTACT INDICATED NO NEED. SUPPLEMENTAL INFO FROM ACN 189295: APPROX 5 MINS LATER; ON FREQ 134.02 THE CTLR REQUESTED A 40 DEG TURN TO THE L AND SAID 'MAKE IT TIGHT'. HE TOLD US OF TFC PASSING IN FRONT OF US L TO R AT FL350. WE OBSERVED AN MLG PASSING AT OUR 1 O'CLOCK AND 6 MI ACCORDING TO THE TCASII INDICATIONS. MOMENTS LATER WE OBSERVED ANOTHER ACR Y AT 11 O'CLOCK PASSING L TO R AGAIN AT THE SAME ALT. THE 40 DEG TURN WE HAD DONE PUT US BEHIND THE SECOND ACFT. THE TCASII INDICATED THAT ACFT AT 2 MI. WE ALSO HAD A TCASII RA BUT DID NOT FOLLOW THE INDICATIONS AS WE WERE VISUAL AND CLR OF THE ACFT. SUPPLEMENTAL INFO FROM ACN 189290: I WAS CTLING THE ROBERTS (FBS) HIGH ALT SECTOR JUST TO THE S OF CHICAGO. N OF MY SECTOR WAS TSTMS WITH TOPS TO 40000 FT. MSP FLTS WERE RERTED THROUGH MY SECTOR; TO THE W OF THE STORMS. ORD ARRS WERE RERTED THROUGH MY SECTOR; S AND W OF THE WX. ACR X DEPARTED MKE; SBOUND FOR MEM. ACR X CAME ON MY FREQ REQUESTING FL390. I HAD TFC AT 390 SO CLRED ACR X TO FL350. HE THEN STARTED DEVIATING SWESTERLY AROUND STORMS. ACR MLG AND ACR Y WBOUND FOR MSP 20 NM IN TRAIL CAME ON MY FREQ AS WELL AS ORD FLTS. BOTH ACRS WERE AT FL350. IT HAD BEEN MY INTENTION TO CLB ACR X TO FL370; WHICH I NEGLECTED TO DO BECAUSE OF OTHER DUTIES. CONFLICT ALERT ACTIVATED BTWN FIRST MLG AND ACR X. I TURNED ACR X L 40 DEG WHICH EFFECTIVELY SEPARATED HIM FROM FIRST MLG. CONFLICT ALERT ACTIVATED BTWN ACR X AND Y WHILE ACR X WAS STILL IN HIS TURN. ACR X AND Y PASSED WITH 2.5 NM SEPARATION AT FL350. BECAUSE OF THE SPD OF JET ACFT AT CRUISING ALT; I BELIEVE CONFLICT ALERT SHOULD BE ACTIVATED 3 MIN PRIOR TO TARGET MERGE INSTEAD OF 2 MIN.