The MOSEK command line tool Version 7.0 (Revision 141)

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288 CHAPTER 13. THE MPS FILE FORMAT • If a matrix element in the COLUMNS section is specified multiple times, then the multiple entries are added together. • If a matrix element in a QSECTION section is specified multiple times, then the multiple entries are added together. 13.5 The free MPS format MOSEK supports a free format variation of the MPS format. The free format is similar to the MPS file format but less restrictive, e.g. it allows longer names. However, it also presents two main limitations: • By default a line in the MPS file must not contain more than 1024 characters. However, by modifying the parameter MSK IPAR READ MPS WIDTH an arbitrary large line width will be accepted. • A name must not contain any blanks. To use the free MPS format instead of the default MPS format the MOSEK parameter MSK IPAR READ MPS FORMAT should be changed.
Chapter 14 The LP file format MOSEK supports the LP file format with some extensions i.e. formatted files. MOSEK can read and write LP Please note that the LP format is not a completely well-defined standard and hence different optimization packages may interpret the same LP file in slightly different ways. MOSEK tries to emulate as closely as possible CPLEX’s behavior, but tries to stay backward compatible. The LP file format can specify problems on the form minimize/maximize c T x + 1 2 qo (x) where subject to l c ≤ Ax + 1 2 q(x) ≤ uc , l x ≤ x ≤ u x , x J integer, • x ∈ R n is the vector of decision variables. • c ∈ R n is the linear term in the objective. • q o :∈ R n → R is the quadratic term in the objective where and it is assumed that q o (x) = x T Q o x Q o = (Q o ) T . • A ∈ R m×n is the constraint matrix. • l c ∈ R m is the lower limit on the activity for the constraints. 289
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The MOSEK command line tool. Versio
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Contents 1 Changes and new features
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CONTENTS v 6.5 Termination criterio
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CONTENTS vii 9.1.56 MSK DPAR NONCON
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CONTENTS ix 9.2.79 MSK IPAR MIO FEA
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CONTENTS xi 9.2.171 MSK IPAR SOL RE
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CONTENTS xiii 11.29 Ordering strate
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CONTENTS xv 18.2 arki001 . . . . .
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Contact information Phone +45 3917
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License agreement Before using the
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Chapter 1 Changes and new features
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1.4. OPTIMIZATION TOOLBOX FOR MATLA
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Chapter 2 What is MOSEK MOSEK is a
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Chapter 3 MOSEK and AMPL AMPL is a
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3.6. CONSTRAINT AND VARIABLE NAMES
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3.8. HOT-START 15 Linear dependency
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3.10. SENSITIVITY ANALYSIS 17 • .
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Chapter 4 Problem formulation and s
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4.1. LINEAR OPTIMIZATION 21 be a pr
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4.2. CONIC QUADRATIC OPTIMIZATION 2
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4.2. CONIC QUADRATIC OPTIMIZATION 2
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4.3. SEMIDEFINITE OPTIMIZATION 27 4
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4.5. GENERAL CONVEX OPTIMIZATION 29
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4.5. GENERAL CONVEX OPTIMIZATION 31
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Chapter 5 The optimizers for contin
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5.1. HOW AN OPTIMIZER WORKS 35 5.1.
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5.2. LINEAR OPTIMIZATION 37 5.2.2 T
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5.2. LINEAR OPTIMIZATION 39 Wheneve
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5.2. LINEAR OPTIMIZATION 41 5.2.2.3
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5.2. LINEAR OPTIMIZATION 43 • Rai
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5.5. NONLINEAR CONVEX OPTIMIZATION
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5.6. SOLVING PROBLEMS IN PARALLEL 4
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Chapter 6 The optimizers for mixed-
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6.3. THE MIXED-INTEGER CONIC OPTIMI
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6.5. TERMINATION CRITERION 53 The f
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6.7. UNDERSTANDING SOLUTION QUALITY
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Chapter 7 The analyzers 7.1 The pro
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7.1. THE PROBLEM ANALYZER 59 Constr
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7.2. ANALYZING INFEASIBLE PROBLEMS
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Chapter 8 Sensitivity analysis 8.1
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8.4. SENSITIVITY ANALYSIS FOR LINEA
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8.5. SENSITIVITY ANALYSIS WITH THE
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8.5. SENSITIVITY ANALYSIS WITH THE
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Chapter 9 Parameters Parameters gro
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81 • MSK SPAR ITR SOL FILE NAME.
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83 • MSK DPAR INTPNT NL TOL REL G
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85 • MSK IPAR LOG MIO. Controls t
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87 • MSK DPAR INTPNT NL MERIT BAL
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89 • MSK IPAR INFEAS PREFER PRIMA
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91 • MSK IPAR SIM SAVE LU. Contro
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9.1. MSKDPARAME: DOUBLE PARAMETERS
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9.2. MSKIPARAME: INTEGER PARAMETERS
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9.3. MSKSPARAME: STRING PARAMETER T
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Chapter 10 Response codes Response
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205 MSK RES ERR CON Q NOT PSD The q
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207 MSK RES ERR GLOBAL INV CONIC PR
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209 MSK RES ERR INV MARKJ Invalid v
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211 MSK RES ERR INVALID FORMAT TYPE
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213 MSK RES ERR LICENSE NO SERVER S
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215 MSK RES ERR MIO NO OPTIMIZER No
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217 MSK RES ERR NAME MAX LEN A name
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219 MSK RES ERR NUMCONLIM Maximum n
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221 MSK RES ERR QCON UPPER TRIANGLE
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223 MSK RES ERR SYM MAT INVALID COL
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225 MSK RES ERR USER NLO FUNC The u
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227 MSK RES WRN ANA ALMOST INT BOUN
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229 MSK RES WRN MIO INFEASIBLE FINA
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231 MSK RES WRN WRITE DISCARDED CFI
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Chapter 11 API constants 11.1 Const
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11.5. PROGRESS CALL-BACK CODES 235
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Page 259 and 260: 11.6. TYPES OF CONVEXITY CHECKS. 24
Page 261 and 262: 11.10. DOUBLE INFORMATION ITEMS 245
Page 263 and 264: 11.10. DOUBLE INFORMATION ITEMS 247
Page 265 and 266: 11.11. FEASIBILITY REPAIR TYPES 249
Page 267 and 268: 11.13. INTEGER INFORMATION ITEMS. 2
Page 273 and 274: 11.17. LANGUAGE SELECTION CONSTANTS
Page 275 and 276: 11.22. MIXED-INTEGER NODE SELECTION
Page 277 and 278: 11.29. ORDERING STRATEGIES 261 MSK
Page 279 and 280: 11.34. PROBLEM STATUS KEYS 263 MSK
Page 281 and 282: 11.38. SENSITIVITY TYPES 265 MSK SC
Page 283 and 284: 11.44. SOLUTION ITEMS 267 MSK SIM S
Page 285 and 286: 11.46. SOLUTION TYPES 269 11.46 Sol
Page 287 and 288: 11.52. INTEGER VALUES 271 11.52 Int
Page 289 and 290: Chapter 12 MOSEK Command line tool
Page 291 and 292: 12.3. THE PARAMETER FILE 275 -min F
Page 293 and 294: Chapter 13 The MPS file format MOSE
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Page 299 and 300: 13.1. MPS FILE STRUCTURE 283 Field
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Page 303: 13.2. INTEGER VARIABLES 287 13.2 In
Page 307 and 308: 14.1. THE SECTIONS 291 x1 * x2 Ther
Page 309 and 310: 14.2. LP FORMAT PECULIARITIES 293 1
Page 311 and 312: 14.3. THE STRICT LP FORMAT 295 MSK
Page 313 and 314: Chapter 15 The OPF format The Optim
Page 315 and 316: 15.2. THE FILE FORMAT 299 [con ’c
Page 317 and 318: 15.2. THE FILE FORMAT 301 - ‘NEAR
Page 319 and 320: 15.4. WRITING OPF FILES FROM MOSEK
Page 321 and 322: 15.5. EXAMPLES 305 [/hints] [variab
Page 323 and 324: 15.5. EXAMPLES 307 x1 x2 [/integer]
Page 325 and 326: Chapter 16 The XML (OSiL) format MO
Page 327 and 328: Chapter 17 The solution file format
Page 329 and 330: 17.2. THE INTEGER SOLUTION FILE 313
Page 331 and 332: Chapter 18 Problem analyzer example
Page 333 and 334: 18.2. ARKI001 317 2 476 45.42 48.19
Page 335 and 336: 18.4. PROBLEM WITH BOTH LINEAR AND
Page 337 and 338: Bibliography [1] R. Fourer and D. M
Page 339 and 340: Index AMPL outlev, 13 wantsol, 13 a
Page 341 and 342: INDEX 325 MSK RES ERR FEASREPAIR IN
Page 343 and 344: INDEX 327 MSK RES ERR MPS NULL VAR
Page 345 and 346: INDEX 329 MSK RES TRM MAX TIME, 226
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