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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link="#0563C1" vlink="#954F72"><div class=WordSection1><p class=MsoNormal>The following is intended to:<o:p></o:p></p><p class=MsoNormal> If (free > 0) pos = free else pos = 0<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Without use of bigm. It seems to work until I introduce pos into the objective at which point it is unbounded.<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>I am new to linear programming in general and SOS in particular. Is this a bad model, or is there something else going on?<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Is this due to lack of lp implementation as some recent traffic seems to indicate?<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>Thanks,<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>jkh<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>MAXIMIZE<o:p></o:p></p><p class=MsoNormal>+HS_pos <o:p></o:p></p><p class=MsoNormal>SUBJECT TO<o:p></o:p></p><p class=MsoNormal>HS_free: -HS_@free +HS_free = 0<o:p></o:p></p><p class=MsoNormal>HS_P0_diff: +HS_free +HS_P0_diff -HS_pos = 0<o:p></o:p></p><p class=MsoNormal>HS_P0_sum: +HS_P0_y +HS_P0_z = 1<o:p></o:p></p><p class=MsoNormal>HS_pos: -HS_@pos +HS_pos = 0<o:p></o:p></p><p class=MsoNormal>BOUNDS<o:p></o:p></p><p class=MsoNormal>HS_@free free<o:p></o:p></p><p class=MsoNormal>HS_@pos free<o:p></o:p></p><p class=MsoNormal>HS_free = -5<o:p></o:p></p><p class=MsoNormal>BINARY<o:p></o:p></p><p class=MsoNormal>HS_P0_y HS_P0_z <o:p></o:p></p><p class=MsoNormal>SOS<o:p></o:p></p><p class=MsoNormal>S0: S1:: HS_pos:1 HS_P0_y:2 <o:p></o:p></p><p class=MsoNormal>S1: S1:: HS_P0_diff:1 HS_P0_z:2 <o:p></o:p></p><p class=MsoNormal>END<o:p></o:p></p></div></body></html>