From 01371845eae568f28298289928f2f233cd638def Mon Sep 17 00:00:00 2001 From: daveabiy <dawitk27@gmail.com> Date: Fri, 16 Jul 2021 02:58:18 +0200 Subject: [PATCH] contain simple data. For restriction from the DLR, some data's were removed from this git --- data/6f4s.lp | 124 ++++++++++++++++++++++++++++++++++++++ data/Screenshot (293).png | Bin 0 -> 131493 bytes data/lagr steps.txt | 26 ++++++++ data/reformulation.png | Bin 0 -> 406744 bytes data/reformulaton 2.png | Bin 0 -> 178973 bytes data/sim3.lp | 20 ++++++ 6 files changed, 170 insertions(+) create mode 100644 data/6f4s.lp create mode 100644 data/Screenshot (293).png create mode 100644 data/lagr steps.txt create mode 100644 data/reformulation.png create mode 100644 data/reformulaton 2.png create mode 100644 data/sim3.lp diff --git a/data/6f4s.lp b/data/6f4s.lp new file mode 100644 index 0000000..4e200ae --- /dev/null +++ b/data/6f4s.lp @@ -0,0 +1,124 @@ +Minimize + obj: +1 x_{1}_{0} +15 x_{1}_{15} +30 x_{1}_{30} +45 x_{1}_{45} +60 x_{1}_{60} +75 x_{1}_{75} +90 x_{1}_{90} +105 x_{1}_{105} +120 x_{1}_{120} + +0 x_{2}_{0} +15 x_{2}_{15} +30 x_{2}_{30} +45 x_{2}_{45} +60 x_{2}_{60} +75 x_{2}_{75} +90 x_{2}_{90} +105 x_{2}_{105} +120 x_{2}_{120} + +0 x_{3}_{0} +15 x_{3}_{15} +30 x_{3}_{30} +45 x_{3}_{45} +60 x_{3}_{60} +75 x_{3}_{75} +90 x_{3}_{90} +105 x_{3}_{105} +120 x_{3}_{120} + +0 x_{4}_{0} +15 x_{4}_{15} +30 x_{4}_{30} +45 x_{4}_{45} +60 x_{4}_{60} +75 x_{4}_{75} +90 x_{4}_{90} +105 x_{4}_{105} +120 x_{4}_{120} + +0 x_{5}_{0} +15 x_{5}_{15} +30 x_{5}_{30} +45 x_{5}_{45} +60 x_{5}_{60} +75 x_{5}_{75} +90 x_{5}_{90} +105 x_{5}_{105} +120 x_{5}_{120} + +0 x_{6}_{0} +15 x_{6}_{15} +30 x_{6}_{30} +45 x_{6}_{45} +60 x_{6}_{60} +75 x_{6}_{75} +90 x_{6}_{90} +105 x_{6}_{105} +120 x_{6}_{120} + +Subject To + + slot1: x_{1}_{0} + x_{2}_{0} <= 1 + slot2: x_{1}_{15} + x_{2}_{15} <= 1 + slot3: x_{1}_{30} + x_{2}_{30} <= 1 + slot4: x_{1}_{45} + x_{2}_{45} <= 1 + slot5: x_{1}_{60} + x_{2}_{60} <= 1 + slot6: x_{1}_{75} + x_{2}_{75} <= 1 + slot7: x_{1}_{90} + x_{2}_{90} <= 1 + slot8: x_{1}_{105} + x_{2}_{105} <= 1 + slot9: x_{1}_{120} + x_{2}_{120} <= 1 + slot10: x_{2}_{0} + x_{3}_{0} + x_{4}_{0} <= 1 + slot11: x_{2}_{15} + x_{3}_{15} + x_{4}_{15} <= 1 + slot12: x_{2}_{30} + x_{3}_{30} + x_{4}_{30} <= 1 + slot13: x_{2}_{45} + x_{3}_{45} + x_{4}_{45} <= 1 + slot14: x_{2}_{60} + x_{3}_{60} + x_{4}_{60} <= 1 + slot15: x_{2}_{75} + x_{3}_{75} + x_{4}_{75} <= 1 + slot16: x_{2}_{90} + x_{3}_{90} + x_{4}_{90} <= 1 + slot17: x_{2}_{105} + x_{3}_{105} + x_{4}_{105} <= 1 + slot18: x_{2}_{120} + x_{3}_{120} + x_{4}_{120} <= 1 + slot19: x_{1}_{0} + x_{3}_{0} + x_{5}_{0} <= 1 + slot20: x_{1}_{15} + x_{3}_{15} + x_{5}_{15} <= 1 + slot21: x_{1}_{30} + x_{3}_{30} + x_{5}_{30} <= 1 + slot22: x_{1}_{45} + x_{3}_{45} + x_{5}_{45} <= 1 + slot23: x_{1}_{60} + x_{3}_{60} + x_{5}_{60} <= 1 + slot24: x_{1}_{75} + x_{3}_{75} + x_{5}_{75} <= 1 + slot25: x_{1}_{90} + x_{3}_{90} + x_{5}_{90} <= 1 + slot26: x_{1}_{105} + x_{3}_{105}+ x_{5}_{105}<= 1 + slot27: x_{1}_{120} + x_{3}_{120} + x_{5}_{120} <= 1 + slot28: x_{5}_{0} + x_{6}_{0} + x_{4}_{0} <= 1 + slot29: x_{5}_{15} + x_{6}_{15} + x_{4}_{15} <= 1 + slot30: x_{5}_{30} + x_{6}_{30} + x_{4}_{30} <= 1 + slot32: x_{5}_{45} + x_{6}_{45} + x_{4}_{45} <= 1 + slot33: x_{5}_{60} + x_{6}_{60} + x_{4}_{60} <= 1 + slot34: x_{5}_{75} + x_{6}_{75} + x_{4}_{75} <= 1 + slot35: x_{5}_{90} + x_{6}_{90} + x_{4}_{90} <= 1 + slot36: x_{5}_{105} + x_{6}_{105} + x_{4}_{105}<= 1 + slot37: x_{5}_{120} + x_{6}_{120} + x_{4}_{120} <= 1 + + F_1: x_{1}_{0} + x_{1}_{15} + x_{1}_{30} + x_{1}_{45} + x_{1}_{60} + x_{1}_{75} + x_{1}_{90} + x_{1}_{105} + x_{1}_{120} = 1 + F_2: x_{2}_{0} + x_{2}_{15} + x_{2}_{30} + x_{2}_{45} + x_{2}_{60} + x_{2}_{75} + x_{2}_{90} + x_{2}_{105} + x_{2}_{120} = 1 + F_3: x_{3}_{0} + x_{3}_{15} + x_{3}_{30} + x_{3}_{45} + x_{3}_{60} + x_{3}_{75} + x_{3}_{90} + x_{3}_{105} + x_{3}_{120} = 1 + F_4: x_{4}_{0} + x_{4}_{15} + x_{4}_{30} + x_{4}_{45} + x_{4}_{60} + x_{4}_{75} + x_{4}_{90} + x_{4}_{105} + x_{4}_{120} = 1 + F_5: x_{5}_{0} + x_{5}_{15} + x_{5}_{30} + x_{5}_{45} + x_{5}_{60} + x_{5}_{75} + x_{5}_{90} + x_{5}_{105} + x_{5}_{120} = 1 + F_6: x_{6}_{0} + x_{6}_{15} + x_{6}_{30} + x_{6}_{45} + x_{6}_{60} + x_{6}_{75} + x_{6}_{90} + x_{6}_{105} + x_{6}_{120} = 1 + +Bounds + 0 <= x_{1}_{0} <= 1 + 0 <= x_{1}_{15} <= 1 + 0 <= x_{1}_{30} <= 1 + 0 <= x_{1}_{45} <= 1 + 0 <= x_{1}_{60} <= 1 + 0 <= x_{1}_{75} <= 1 + 0 <= x_{1}_{90} <= 1 + 0 <= x_{1}_{105} <= 1 + 0 <= x_{1}_{120} <= 1 + + 0 <= x_{2}_{0} <= 1 + 0 <= x_{2}_{15} <= 1 + 0 <= x_{2}_{30} <= 1 + 0 <= x_{2}_{45} <= 1 + 0 <= x_{2}_{60} <= 1 + 0 <= x_{2}_{75} <= 1 + 0 <= x_{2}_{90} <= 1 + 0 <= x_{2}_{105} <= 1 + 0 <= x_{2}_{120} <= 1 + + 0 <= x_{3}_{0} <= 1 + 0 <= x_{3}_{15} <= 1 + 0 <= x_{3}_{30} <= 1 + 0 <= x_{3}_{45} <= 1 + 0 <= x_{3}_{60} <= 1 + 0 <= x_{3}_{75} <= 1 + 0 <= x_{3}_{90} <= 1 + 0 <= x_{3}_{105} <= 1 + 0 <= x_{3}_{120} <= 1 + + 0 <= x_{4}_{0} <= 1 + 0 <= x_{4}_{15} <= 1 + 0 <= x_{4}_{30} <= 1 + 0 <= x_{4}_{45} <= 1 + 0 <= x_{4}_{60} <= 1 + 0 <= x_{4}_{75} <= 1 + 0 <= x_{4}_{90} <= 1 + 0 <= x_{4}_{105} <= 1 + 0 <= x_{4}_{120} <= 1 + + 0 <= x_{5}_{0} <= 1 + 0 <= x_{5}_{15} <= 1 + 0 <= x_{5}_{30} <= 1 + 0 <= x_{5}_{45} <= 1 + 0 <= x_{5}_{60} <= 1 + 0 <= x_{5}_{75} <= 1 + 0 <= x_{5}_{90} <= 1 + 0 <= x_{5}_{105} <= 1 + 0 <= x_{5}_{120} <= 1 + + 0 <= x_{6}_{0} <= 1 + 0 <= x_{6}_{15} <= 1 + 0 <= x_{6}_{30} <= 1 + 0 <= x_{6}_{45} <= 1 + 0 <= x_{6}_{60} <= 1 + 0 <= x_{6}_{75} <= 1 + 0 <= x_{6}_{90} <= 1 + 0 <= x_{6}_{105} <= 1 + 0 <= x_{6}_{120} <= 1 +Binaries + x_{1}_{0} x_{1}_{15} x_{1}_{30} x_{1}_{45} x_{1}_{60} x_{1}_{75} x_{1}_{90} x_{1}_{105} x_{1}_{120} + x_{2}_{0} x_{2}_{15} x_{2}_{30} x_{2}_{45} x_{2}_{60} x_{2}_{75} x_{2}_{90} x_{2}_{105} x_{2}_{120} + x_{3}_{0} x_{3}_{15} x_{3}_{30} x_{3}_{45} x_{3}_{60} x_{3}_{75} x_{3}_{90} x_{3}_{105} x_{3}_{120} + x_{4}_{0} x_{4}_{15} x_{4}_{30} x_{4}_{45} x_{4}_{60} x_{4}_{75} x_{4}_{90} x_{4}_{105} x_{4}_{120} + x_{5}_{0} x_{5}_{15} x_{5}_{30} x_{5}_{45} x_{5}_{60} x_{5}_{75} x_{5}_{90} x_{5}_{105} x_{5}_{120} + x_{6}_{0} x_{6}_{15} x_{6}_{30} x_{6}_{45} x_{6}_{60} x_{6}_{75} x_{6}_{90} x_{6}_{105} x_{6}_{120} + + +End diff --git a/data/Screenshot (293).png b/data/Screenshot (293).png new file mode 100644 index 0000000000000000000000000000000000000000..967b3d0a8c1e64c872661f9a472458be8a080ba0 GIT binary patch literal 131493 zcmeAS@N?(olHy`uVBq!ia0y~yU}a=rVBW{U#=yX^#q9Do1_lPk;vjb?hIQv;UNSH+ zu%tWsIx;Y9?C1WI$jZRLz**oCS<Jw|cNl~jkLRyQVPIfTEOCt}aV|<tEXmBzQwYh- zO=U1LFfy<*G_o=@S1>fOGBma_G>ZxAS;oNdzrxeSF{C2y&0Y2y5m#xp59X{Kj6ocG z%Ns9D^b=TO&buHeG^8uxXNXROzy<{lrA10-+e#*8xjIyZc3rB@Us&$3^ZmS=H=h*k z<mSvQpZ@%O{>gK1;$~;>e!tiF@z?j)&Wb52!9f4h(pOhB*%&)JpulEExQh!*bAt;E z$enq8X{k34laL@3R2r<$zP`?o!$a?MQ~fK^F4NcluQhE<yD<CA|D^2|FZUPjIpQ52 zb-ic*HLf))|9`cDYMZG3X;<m%uo#zC4Q7Q6;>sM~BpK}<uMez$_e|BY^zWWI`|1wv znlt&bx!x(u*G0;|`tJ1X(KTO`_j3RCr)t+0zw79qzCGpZ$Ej=XMXsse_`}QW^?jXd zN6)LTe)64v+8;}&B@JKm?fwg#oUZJ__3Qbxg#8UW4lMZfTJ_#9{ZlZ%ygQ|BWi`vu z!OPrmn#5}%@h{zdozrZ^`%mucKEC#J;LYNfGu~{U<{xXXzI<KmgcCC~YEN#Ne)f3y zr{^bhmojmCzf^d==>Ie>9hIfc+}-p2x7}b^xP5wgPQiqSj?e%tDvc9!N$R-N!S!S1 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by the unit vector 1. + // 5.2. Multiply each row by the respective lambda entry and sum it all up + + /*Things i need for optimizing using the Lagrangian Relaxation. + 6. there are different kinds of Subgradient search methods. + 6.1. Classic Subgradient search + 6.2. Volume Algorithm + 6.3. Static Converging Series, + 6.4. Dynamic Converging Series, + 6.5. Bundle dynamic Convergent series + create an iteration of the lambda using the formula, {lambda}^k={lambda}^(k-1)+S^k*g^k/||g^k|| + where + {lambda}^k, k from 0 to N is the sequence of the lagrangian multiplier of the function + {lambda}^0 is the starting multiplier + 7. create a maximization problem for the problem at 5, with respect to lambda. + 8. Optimize. + 9. Display the stat and analyze the LB, and the time it requires + 9.1. Comparing it with the LP relaxation results. + 9.2. comparing the values among the different methods. + */ + /* \ No newline at end of file diff --git a/data/reformulation.png b/data/reformulation.png new file mode 100644 index 0000000000000000000000000000000000000000..ba7871a841997231595039f693b14783399b288b GIT binary patch literal 406744 zcmeAS@N?(olHy`uVBq!ia0y~y;Lc-UV7K64V_;zT#Z_{ffq{XsILO_JVcj{ImkbOH zEa{HEjtmSN`?>!lvNA9*a29w(7BevL9R^{><M}I67#J87OI#yLoQqNuOEUBG6hbm{ zQyGj5j0~&{jjW8!6by~5Of9VpO}!>9-pj!7zrxeSF{C2y&0O|7(=JON=fA0<J+;N@ zn@6*YQ>1HDO3Rz6f}6gdSao5-T%*Z*J5?47b@mu3Yg=!s{8zjF-s`{f-@QxUv-;ll zy8Gv!f3dUuUOWHyo9Fx1f408PDXDns!1w$0^JkjnMm?JzU#I!YjYF|TzzIxP*#G&^ zeA6%O+?>cSy-+c*M2Bmyzx`j6;tvPe)2GE%y*yKRTsHmx|M&a<clD*6>D%-F-|zHQ zp{u9ud@{+~YsvB7Z#JJdYL~0ZNV}Oj{j5y!8N-?V_Wvr@?RdEJ`MlFxa&8)J{_&_g z{nxj*vw!}6zrVZhjQ6_Y^A?YJcKfdmTWjQR|F<OV+M39j_5Xe@fAQk~&qv+*Mt66W zZvHc;{@>4;lE!H_cFNWLe!Kn5hlhuaqjR^0F3Y^UY^M6W3Z>8Q_y51OweG*_v<Ri* 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