SUBROUTINE EQUILIBRIUM (TC,USCT,UCET,USET,FSC,FCE,FSE,AA,
     1                      PSC,PCE,BB,TAUSC,TAUCE,TAUSE,ID)
C ID = 2,  Equilibrium without direct train SE
C ID = 11, Equilibrium with    direct train SE
      IMPLICIT REAL*8 (A-H,O-Z)
      DIMENSION Z(14), X(3), XL(3), XU(3)
      DIMENSION W(3000), IACT(51)
      INCLUDE 'param.inc'
      COMMON /PB/ NPROB
      COMMON /VARS/ Z


      ZERO = 0.0D0
      ONE  = 1.0D0
      TWO  = 2.0D0
      
      NPROB=ID

      Z(4)  = TAUSC
      Z(5)  = TAUCE
      Z(6)  = TAUSE
      Z(7)  = PSC
      Z(8)  = PCE
      Z(14) = BB
      Z(10) = FSC
      Z(11) = FCE
      Z(12) = FSE
      Z(13) = AA 
      
      N=3
      NPT=N+2
C INITIAL CONDITION
      X(1)=POPSC/TWO
      X(2)=POPCE/TWO
      X(3)=POPSE/TWO
C SET BOUNDS FOR VARIABLES
      XL(1)=ZERO
      XL(2)=ZERO
      XL(3)=ZERO
      XU(1)=POPSC
      XU(2)=POPCE
      XU(3)=POPSE

C SET PARAMETERS FOR BOBYQA
      RHOBEG=5.0D-1
      RHOEND=1.0D-6
      IPRINT=0
      MAXFUN=2000

      CALL BOBYQA (N,NPT,X,XL,XU,RHOBEG,RHOEND,IPRINT,MAXFUN,W,IACT) 
      USCT = X(1)
      UCET = X(2)
      USET = X(3)

      NPROB = ID - 1
      CALL CALFUN(N,X,F)
      TC = F 

      RETURN
      END