Multilevel Optimization: Algorithms and Applications

Front Cover
A. Migdalas, Panos M. Pardalos, Peter Värbrand
Springer Science & Business Media, 1998 - Computers - 384 pages
In many decision processes there is an hierarchy of decision-makers and decisions are taken at different levels in this hierarchy. Multilevel programming focuses on the whole hierarchy structure. In terms of modeling, the constraint domain associated with a multilevel programming problem is implicitly determined by a series of optimization problems which must be solved in a predetermined sequence. The field of multilevel optimization has become a well-known and important research field. Hierarchical structures can be found in scientific disciplines such as environment, ecology, biology, chemical engineering, mechanics, classification theory, databases, network design, transportation, game theory and economics. Moreover, new applications are constantly being introduced. This has stimulated the development of new theory and efficient algorithms. This volume contains 16 chapters written by various leading researchers and presents a cohesive authoritative overview of developments and applications in their emerging field of optimization. Audience: Researchers whose work involves the application of mathematical programming and optimization to hierarchical structures.
 

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Contents

II
1
III
2
IV
3
V
9
VI
12
VII
18
VIII
23
IX
24
LII
186
LIII
191
LIV
195
LV
209
LVI
211
LVII
213
LVIII
218
LIX
222

X
25
XI
29
XII
36
XIII
41
XIV
51
XV
54
XVI
59
XVII
61
XVIII
63
XIX
67
XX
69
XXI
76
XXII
82
XXIII
91
XXIV
92
XXV
95
XXVI
101
XXVII
103
XXVIII
112
XXX
117
XXXI
118
XXXII
119
XXXIII
122
XXXIV
133
XXXV
137
XXXVII
149
XXXVIII
150
XXXIX
153
XL
155
XLI
157
XLII
159
XLIII
160
XLIV
165
XLV
167
XLVI
171
XLVII
175
XLVIII
176
XLIX
177
LI
181
LX
228
LXI
231
LXII
233
LXIII
235
LXIV
240
LXV
241
LXVI
251
LXVII
253
LXVIII
257
LXIX
263
LXX
268
LXXI
273
LXXII
295
LXXIII
297
LXXIV
299
LXXV
300
LXXVI
304
LXXVII
315
LXXVIII
318
LXXIX
322
LXXX
327
LXXXI
330
LXXXII
333
LXXXIII
336
LXXXIV
340
LXXXV
347
LXXXVI
351
LXXXVII
357
LXXXVIII
358
LXXXIX
359
XC
361
XCI
364
XCII
367
XCIII
370
XCIV
373
XCV
376
XCVI
381
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