Handbook of Test Problems in Local and Global Optimization,9780792358015

Handbook of Test Problems in Local and Global Optimization

by ; ; ; ;
ISBN13: 9780792358015
ISBN10: 0792358015
Format: Hardcover
Pub. Date: 1999-09-01
Publisher(s): Kluwer Academic Pub
List Price: $299.99

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Summary

This collection of challenging and well-designed test problems arising in literature studies also contains a wide spectrum of applications, including pooling/blending operations, heat exchanger network synthesis, homogeneous azeotropic separation, and dynamic optimization and optimal control problems.

Table of Contents

Introduction
1(5)
Quadratic Programming Problems
5(16)
Introduction
5(1)
Test Problem 1
5(1)
Test Problem 2
6(1)
Test Problem 3
7(1)
Test Problem 4
8(2)
Test Problem 5
10(1)
Test Problem 6
11(1)
Test Problem 7
12(3)
Test Problem 8
15(1)
Test Problem 9
16(2)
Test Problem 10
18(3)
Quadratically Constrained Problems
21(6)
Introduction
21(1)
Test Problem 1
21(2)
Test Problem 2
23(1)
Test Problem 3
24(1)
Test Problem 4
25(2)
Univariate Polynomial Problems
27(6)
Introduction
27(1)
Test Problem 1
27(1)
Test Problem 2
28(1)
Test Problem 3
28(1)
Test Problem 4
29(1)
Test Problem 5
29(1)
Test Problem 6
30(1)
Test Problem 7
30(1)
Test Problem 8
30(1)
Test Problem 9
31(2)
Bilinear problems
33(26)
Introduction
33(1)
Pooling Problems
34(9)
Introduction
34(1)
Haverly Pooling Problem
34(2)
Ben-Tal et al. (1994) Problems: General Formulation
36(2)
Ben-Tal et al. (1994) Problems: Test Problem 1
38(2)
Ben-Tal et al. (1994) Problems: Test Problem 2
40(3)
Distillation Column Sequencing Problems
43(8)
Introduction
43(1)
Nonsharp separation of propane, isobutane and n-butane
44(2)
Nonsharp separation of propane, isobutane, n-butane and isopentane
46(5)
Heat Exchanger Network Problems
51(8)
Introduction
51(1)
Test Problem 1
51(1)
Test Problem 2
52(2)
Test Problem 3
54(5)
Biconvex and (D.C.) Problems
59(26)
Introduction
59(1)
Phase and Chemical Equilibrium Problems
59(5)
Introduction
59(1)
Mathematical Formulation
60(4)
Biconvex Problems
64(6)
NRTL Equation
64(2)
Test Problem 1
66(1)
Test Problem 2
67(1)
Test Problem 3
68(1)
Test Problem 4
69(1)
Difference of Convex Functions (D.C.) Problems
70(15)
UNIQUAC Equation
70(1)
Test Problem 5
71(1)
Test Problem 6
72(1)
Test Problem 7
73(1)
Test Problem 8
74(1)
UNIFAC Equation
75(1)
Test Problem 9
76(1)
Test Problem 10
77(1)
Test Problem 11
78(1)
ASOG Equation
79(2)
Test Problem 12
81(1)
Test Problem 13
81(1)
Modified Wilson Equation
82(2)
Test Problem 14
84(1)
Generalized Geometric Programming
85(22)
Introduction
85(1)
Literature Problems
86(11)
Test Problem 1: Alkylation process design
86(3)
Test Problem 2: CSTR Sequence Design
89(1)
Test Problem 3: Heat exchanger design
90(1)
Test Problem 4: Optimal Reactor Design
91(1)
Test Problem 5: Colville's Test Problem
92(1)
Test Problem 6
93(1)
Test Problem 7
94(1)
Test Problem 8
94(1)
Test Problem 9
95(1)
Test Problem 10
96(1)
Robust Stability Analysis
97(10)
Test Problem 11
98(1)
Test Problem 12
99(1)
Test Problem 13
100(1)
Test Problem 14
101(1)
Test Problem 15
102(1)
Test Problem 16
103(4)
Twice Continuously Differentiable NLPs
107(98)
Introduction
107(1)
Literature Problems
108(6)
Test Problem 1
108(1)
Test Problem 2: Pseudoethane
109(1)
Test Problem 3: Goldstein and Price function
110(1)
Test problem 4: Three-hump camelback function
110(1)
Test Problem 5: Six-hump Camelback Function
111(1)
Test Problem 6: Shekel Function
111(1)
Test Problem 7
112(1)
Test Problem 8
113(1)
Batch Plant Design Under Uncertainty
114(14)
Introduction
114(1)
Single-Product Campaign Formulation
115(3)
Test Problem 1
118(3)
Test Problem 2
121(2)
Test Problem 3
123(1)
Unlimited Intermediate Storage Formulation
124(2)
Test Problem 4
126(1)
Test Problem 5
127(1)
Chemical Reactor Network Problems
128(38)
Introduction
128(1)
General Formulation
129(3)
Specific Information
132(1)
Problem Characteristics
133(1)
Test Problems
134(1)
Test Problem 1: Nonisothermal Van de Vusse Reaction Case I
134(5)
Test Problem 2: Isothermal Van de Vusse Reaction Case I
139(2)
Test Problem 3: Isothermal Van de Vusse Reaction Case II
141(2)
Test Problem 4: Isothermal Van de Vusse Reaction Case III
143(2)
Test Problem 5: Isothermal Van de Vusse Reaction Case IV
145(2)
Test Problem 6: Isothermal Trambouze Reaction
147(2)
Test Problem 7: Isothermal Denbigh Reaction Case I
149(2)
Test Problem 8: Isothermal Denbigh ReactionCase II
151(2)
Test Problem 9: Isothermal Levenspiel Reaction
153(2)
Test Problem 10: α-Pinene Reaction
155(2)
Test Problem 11: Nonisothermal Van de Vusse Reaction Case II
157(2)
Test Problem 12: Nonisothermal Naphthalene Reaction
159(3)
Test Problem 13: Nonisothermal Parallel Reactions
162(2)
Test Problem 14: Sulfur Dioxide Oxidation
164(2)
Parameter Estimation problems
166(12)
Introduction
166(1)
General formulation
167(1)
Test Problem 1: Linear Model
167(2)
Test Problem 2: Polynomial Model
169(1)
Test Problem 3: Non-linear Model
169(2)
Test Problem 4: Respiratory Mechanical Model
171(1)
Test Problem 5: Kowalik Problem
172(1)
Test Problem 6: Pharmacokinetic Model
173(1)
Test Problem 7: Steady-State CSTR
174(2)
Test Problem 8: Vapor-Liquid Equilibrium Model
176(2)
Phase and Chemical Equilibrium Problems
178(8)
Introduction
178(1)
General formulation - Tangent Plane Distance Minimization
179(1)
Van der Waals Equation
180(1)
Test Problem 1
180(1)
Test Problem 2
181(1)
SRK Equation
182(1)
Test Problem 3
182(1)
Test Problem 4
183(1)
Peng-Robinson Equation
184(1)
Test Problem 5
185(1)
Test Problem 6
186(1)
Clusters of Atoms and Molecules
186(19)
Introduction
186(1)
General Formulation
187(1)
Lennard-Jones Potential
188(5)
Morse Potential
193(4)
Tersoff Potential
197(2)
Brenner Potential
199(3)
Bolding-Andersen Potential
202(3)
Bilevel Programming Problems
205(28)
Introduction
205(2)
Terminology and Properties
206(1)
Solution Techniques
206(1)
Bilevel Linear Programming Problems
207(13)
Karush-Kuhn-Tucker Approach
208(1)
Test Problem 1
208(2)
Test Problem 2
210(1)
Test Problem 3
211(1)
Test Problem 4
212(1)
Test Problem 5
213(1)
Test Problem 6
214(1)
Test Problem 7
215(1)
Test Problem 8
216(2)
Test Problem 9
218(1)
Test Problem 10
219(1)
Bilevel Quadratic Programming Problems
220(13)
Introduction
220(1)
Test Problem 1
221(1)
Test Problem 2
222(1)
Test Problem 3
223(2)
Test Problem 4
225(1)
Test Problem 5
226(1)
Test Problem 6
227(1)
Test Problem 7
228(1)
Test Problem 8
229(1)
Test Problem 9
230(3)
Complementarity Problems
233(18)
Introduction
233(1)
Linear Complementarity Problems
234(8)
Test Problem 1
234(1)
Test Problem 2
235(1)
Test Problem 3
236(1)
Bimatrix Games
236(1)
Test Problem 4
237(1)
Equilibrium Transportation Model
238(1)
Test Problem 5
239(1)
Traffic Equilibrium Problem
240(1)
Test Problem 6
241(1)
Nonlinear Complementarity Problems
242(9)
Test Problem 1
243(1)
Test Problem 2
243(1)
Test Problem 3
244(1)
Nash Equilibrium
245(1)
Test Problem 4
246(1)
Test Problem 5
246(1)
Invariant Capital Stock Problem
247(1)
Test Problem 6
248(3)
Semidefinite Programming Problems
251(12)
Introduction
251(3)
Problem formulation
251(1)
Semidefinite Programming Applications
252(2)
Educational Testing Problem
254(4)
General formulation
255(3)
Maximum Cut Problem
258(5)
General formulation
259(4)
Mixed-Integer Nonlinear Problems
263(40)
Introduction
263(1)
Literature Problems
264(5)
Test Problem 1
264(1)
Test Problem 2
265(1)
Test Problem 3
266(1)
Test Problem 4
267(1)
Test Problem 5
267(1)
Test Problem 6
268(1)
Heat Exchanger Network Synthesis
269(9)
Introduction
269(1)
General Formulation
270(3)
Test Problem 1
273(5)
Heat Exchanger Networks: Arithmetic Mean
278(7)
Introduction
278(1)
General Formulation
278(2)
Test Problem 1
280(2)
Test Problem 2
282(3)
Pump network synthesis
285(4)
Introduction
285(1)
Test Problem 1
286(3)
Trim Loss Minimization
289(14)
Introduction
289(1)
General Formulation
290(1)
Test Problem 1
291(3)
Test Problem 2
294(2)
Test Problem 3
296(3)
Test Problem 4
299(4)
Combinatorial Optimization Problems
303(22)
Modeling with Integer Programming
303(1)
Test problems in the Internet
304(1)
Quadratic Integer Programming
304(2)
Quadratic 0-1 Test problems
304(2)
Satisfiability Problems
306(2)
SAT Test Problems
307(1)
The Traveling Salesman Problem
308(1)
TSP test Problems
309(1)
Assignment Problems
309(4)
QAP Test Problems
310(3)
Graph Coloring
313(1)
Test Problems
314(1)
Maximum Clique Problem
314(4)
Maximum Clique: Coding Theory Test Problems
317(1)
Maximum Clique: Keller Graphs
317(1)
Steiner Problems in Networks (SPN)
318(7)
Test Problems
319(6)
Nonlinear Systems of Equations
325(26)
Literature problems
326(8)
Test Problem 1: Himmelblau function
326(1)
Test Problem 2: Equilibrium Combustion
327(1)
Test Problem 3
328(1)
Test Problem 4
328(1)
Test Problem 5
329(1)
Test Problem 6
329(2)
Test Problem 7
331(1)
Test Problem 8
332(1)
Test Problem 9
333(1)
Enclosing All Homogeneous Azeotropes
334(17)
Introduction
334(1)
General Formulation - Activity Coefficient Equations
335(2)
Wilson Equation
337(1)
Test Problem 1
337(1)
Test Problem 2
338(1)
Test Problem 3
339(1)
NRTL Equation
340(1)
Test Problem 4
341(1)
Test Problem 5
341(1)
UNIQUAC Equation
342(1)
Test Problem 6
343(1)
Test Problem 7
344(1)
UNIFAC Equation
345(1)
Test Problem 8
346(1)
Test Problem 9
347(4)
Dynamic Optimization Problems
351
Introduction
351
General Formulation
351
Solution Techniques (Local)
352
Control Parameterization
352
Solution of NLP/DAE
354
Chemical Reactor Network Problems
354
Introduction
354
General Formulation
355
Specific Information
363
Problem Characteristics
364
Test Problems
364
Test Problem 1: Nonisothermal Van de Vusse Reaction Case I
364
Test Problem 2: Isothermal Van de Vusse Reaction Case I
369
Test Problem 3: Isothermal Van de Vusse Reaction Case II
371
Test Problem 4: Isothermal Van de Vusse Reaction Case III
372
Test Problem 5: Isothermal Van de Vusse Reaction Case IV
374
Test Problem 6: Isothermal Trambouze Reaction
376
Test Problem 7: Isothermal Denbigh Reaction Case I
377
Test Problem 8: Isothermal Denbigh Reaction Case II
379
Test Problem 9: Isothermal Levenspiel Reaction
381
Test Problem 10: α-Pinene Reaction
383
Test Problem 11: Nonisothermal Van de Vusse Reaction Case II
385
Test Problem 12: Nonisothermal Naphthalene Reaction
387
Test Problem 13: Nonisothermal Parallel Reactions
389
Test Problem 14: Sulfur Dioxide Oxidation
391
Parameter Estimation Problems
393
Introduction
393
General Formulation
394
Test Problem 1
394
Test Problem 2
396
Test Problem 3: Catalytic Cracking of Gas Oil
398
Test Problem 4: Bellman's Problem
399
Test Problem 5: Methanol-to-Hydrocarbons Process
401
Test Problem 6: Lotka-Volterra Problem
403
Optimal Control Problems
404
Introduction
404
Test Problem 1
405
Test Problem 2: Singular Control Problem
406
Test Problem 3: CSTR Problem
407
Test Problem 4: Oil Shale Pyrolysis
408
Test Problem 5: Bifunctional Catalyst Blend Problem
410

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