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Preface | p. xi |
Introduction to Spreadsheet Models for Optimization | p. 1 |
Elements of a Model | p. 2 |
Spreadsheet Models | p. 4 |
A Hierarchy for Analysis | p. 7 |
Optimization Software | p. 8 |
Using Solver | p. 10 |
Summary | p. 17 |
Exercises | p. 18 |
References | p. 20 |
Linear Programming: Allocation, Covering, and Blending Models | p. 21 |
Linear Models | p. 22 |
Linear Constraints | p. 24 |
Formulation | p. 25 |
Layout | p. 26 |
Results | p. 28 |
Allocation Models | p. 29 |
The Product Mix Problem | p. 35 |
Covering Models | p. 39 |
The Staff-Scheduling Problem | p. 43 |
Blending Models | p. 47 |
Modeling Errors in Linear Programming | p. 53 |
Exceptions | p. 53 |
Debugging | p. 55 |
Logic | p. 56 |
Summary | p. 57 |
Exercises | p. 57 |
Case: JetGreen | p. 68 |
Linear Programming: Network Models | p. 71 |
The Transportation Model | p. 72 |
The Assignment Model | p. 77 |
The Transshipment Model | p. 81 |
Features of Special Network Models | p. 85 |
Building Network Models with Balance Equations | p. 86 |
General Network Models with Yields | p. 91 |
Models with Yield Losses | p. 91 |
Models with Yield Gains | p. 93 |
General Network Models with Transformed Flows | p. 98 |
Summary | p. 103 |
Exercises | p. 103 |
Case: Casey's Famous Roast Beef | p. 113 |
Case: Hollingsworth Paper Company | p. 114 |
Production and Distribution Facilities | p. 115 |
Patterns of Distribution | p. 115 |
Expansion Proposals | p. 116 |
Sensitivity Analysis in Linear Programs | p. 119 |
Parameter Analysis in the Transportation Example | p. 120 |
Parameter Analysis in the Allocation Example | p. 127 |
The Sensitivity Report and the Transportation Example | p. 135 |
The Sensitivity Report and the Allocation Example | p. 138 |
Degeneracy and Alternative Optima | p. 140 |
Patterns in Linear Programming Solutions | p. 144 |
The Transportation Model | p. 145 |
The Product Portfolio Model | p. 149 |
The Investment Model | p. 152 |
The Allocation Model | p. 154 |
The Refinery Model | p. 155 |
Summary | p. 159 |
Exercises | p. 160 |
Case: Cox Cable and Wire Company | p. 171 |
Background | p. 171 |
The Contract | p. 172 |
The Analysis | p. 173 |
Linear Programming: Data Envelopment Analysis | p. 175 |
A Graphical Perspective on DEA | p. 177 |
An Algebraic Perspective on DEA | p. 181 |
A Spreadsheet Model for DEA | p. 183 |
Indexing | p. 188 |
Finding Reference Sets and HCUs | p. 190 |
Assumptions and Limitations of DEA | p. 193 |
Summary | p. 196 |
Exercises | p. 196 |
Case: Branch Performance at Nashville National Bank | p. 205 |
Branch Growth at Nashville National Bank | p. 205 |
Assessing Branch Productivity | p. 206 |
Branch Managers Revolt | p. 206 |
Measuring Branches: Available Techniques | p. 207 |
The DEA Study | p. 207 |
Integer Programming: Binary Choice Models | p. 211 |
Using Solver with Integer Requirements | p. 213 |
The Capital Budgeting Problem | p. 217 |
Set Covering | p. 221 |
Set Packing | p. 224 |
Set Partitioning | p. 227 |
Playoff Scheduling | p. 229 |
Solving a Large-Scale Set Partitioning Problem | p. 234 |
The Algorithm for Solving Integer Programs | p. 237 |
Summary | p. 243 |
Exercises | p. 243 |
Case: Motel Location for Nature's Inn | p. 249 |
Integer Programming: Logical Constraints | p. 251 |
Simple Logical Constraints: Exclusivity and Contingency | p. 253 |
Linking Constraints: The Fixed Cost Problem | p. 255 |
Linking Constraints: The Threshold Level Problem | p. 260 |
Linking Constraints: The Facility Location Model | p. 261 |
Capacitated Version | p. 263 |
Uncapacilated Version | p. 267 |
Disjunctive Constraints: The Machine Sequencing Problem | p. 270 |
Tour and Subset Constraints: The Traveling Salesperson Problem | p. 274 |
Summary | p. 282 |
Exercises | p. 283 |
Case: Hornby Products Company | p. 291 |
History | p. 291 |
Alternatives | p. 293 |
Nonlinear Programming | p. 297 |
One-variable Models | p. 298 |
An Inventory Example | p. 300 |
A Quantity Discount Example | p. 302 |
Local Optima and the Search for an Optimum | p. 304 |
Two-Variable Models | p. 307 |
Curve Fitting | p. 307 |
Two-dimensional Location | p. 310 |
Nonlinear Models with Constraints | p. 312 |
A Pricing Example | p. 313 |
Sensitivity Analysis for Nonlinear Programs | p. 315 |
The Portfolio Optimization Model | p. 316 |
Linearizations | p. 320 |
Linearizing the Maximum | p. 320 |
Linearizing the Absolute Value | p. 324 |
Summary | p. 327 |
Exercises | p. 328 |
Case: Delhi Foods | p. 335 |
Heuristic Solutions with the Evolutionary Solver | p. 337 |
Features of the Evolutionary Solver | p. 338 |
An Illustrative Example: Nonlinear Regression | p. 339 |
The Machine-Sequencing Problem Revisited | p. 346 |
The Traveling Salesperson Problem Revisited | p. 349 |
Two-dimensional Location | p. 352 |
Line Balancing | p. 354 |
Group Assignment | p. 358 |
Summary | p. 362 |
Exercises | p. 362 |
Case: Colgate Wave (Abridged) | p. 370 |
Introduction | p. 370 |
The Study | p. 370 |
Case Appendix: Market Share Simulation Model (CoIgate.xls) | p. 373 |
Data | p. 373 |
Calculations | p. 373 |
Simulation | p. 374 |
Appendices | |
Optimization Software and Supplemental Files | p. 375 |
Risk Solver Platform | p. 375 |
Supplemental Excel Files | p. 376 |
Graphical Methods in Linear Programming | p. 377 |
An Example | p. 377 |
Generalities | p. 382 |
The Simplex Method | p. 385 |
An Example | p. 385 |
Variations of the Algorithm | p. 390 |
References | p. 393 |
Stochastic Programming | p. 395 |
One-Stage Decisions with Uncertainty | p. 395 |
Two-Stage Decisions with Uncertainty | p. 399 |
Using Solver | p. 402 |
Index | p. 407 |
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