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Tables of Contents for Model Building in Mathematical Programming
Chapter/Section Title
Page #
Page Count
Preface
xi
PART 1
1
228
Introduction
3
7
The Concept of a Model
3
2
Mathematical Programming Models
5
5
Solving Mathematical Programming Models
10
7
Algorithms and Packages
10
2
Practical Considerations
12
3
Decision Support and Expert Systems
15
1
Constraint Logic Programming (CLP)
15
2
Building Linear Programming Models
17
22
The Importance of Linearity
17
2
Defining Objectives
19
6
Defining Constraints
25
7
How to Build a Good Model
32
4
The Use of Modelling Languages
36
3
Structured Linear Programming Models
39
20
Multiple Plant, Product, and Period Models
39
9
Decomposing a Large Model
48
11
Applications and Special Types of Mathematical Programming Model
59
34
Typical Applications
59
6
Economic Models
65
7
Network Models
72
18
Converting Linear Programs to Networks
90
3
Interpreting and Using the Solution of a Linear Programming Model
93
33
Validating a Model
93
4
Economic Interpretations
97
14
Sensitivity Analysis and the Stability of a Model
111
11
Further Investigations Using a Model
122
2
Presentation of the Solutions
124
2
Non-linear Models
126
18
Typical Applications
126
3
Local and Global Optima
129
7
Separable Programming
136
6
Converting a Problem to a Separable Model
142
2
Integer Programming
144
10
Introduction
144
1
The Applicability of Integer Programming
145
6
Solving Integer Programming Models
151
3
Building Integer Programming Models I
154
33
The Uses of Discrete Variables
154
6
Logical Conditions and Zero--One Variables
160
5
Special Ordered Sets of Variables
165
4
Extra Conditions Applied to Linear Programming Models
169
7
Special Kinds of Integer Programming Model
176
11
Building Integer Programming Models II
187
34
Good and Bad Formulations
187
10
Simplifying an Integer Programming Model
197
12
Economic Information Obtainable by Integer Programming
209
7
Sensitivity Analysis and the Stability of a Model
216
3
When and How to Use Integer Programming
219
2
The Implementation of a Mathematical Programming System of Planning
221
8
Acceptance and Implementation
221
2
The Unification of Organizational Functions
223
2
Centralization versus Decentralization
225
2
The Collection of Data and the Maintenance of a Model
227
2
PART 2
229
30
The Problems
231
28
Food Manufacture 1
When to buy and how to blend
231
1
Food Manufacture 2
Limiting the number of ingredients and adding extra conditions
232
1
Factory Planning 1
What to make, on what machines, and when
233
1
Factory Planning 2
When should machines be down for maintenance
234
1
Manpower Planning
How to recruit, retrain, make redundant, or overman
234
2
Refinery Optimization
How to run an oil refinery
236
2
Mining
Which pits to work and when to close them down
238
1
Farm Planning
How much to grow and rear
239
1
Economic Planning
How should an economy grow
240
2
Decentralization
How to disperse offices from the capital
242
1
Curve Fitting
Fitting a curve to a set of data points
242
1
Logical Design
Constructing an electronic system with a minimum number of components
243
1
Market Sharing
Assigning retailers to company divisions
244
1
Opencast Mining
How much to excavate
245
2
Tariff Rates (Power Generation)
How to determine tariff rates for the sale of electricity
247
1
Hydro Power
How to generate and combine hydro and thermal electricity generation
247
1
Three-dimensional Noughts and Crosses
A combinatorial problem
248
1
Optimizing a Constraint
Reconstructing an integer programming constraint more simply
249
1
Distribution 1
Which factories and depots to supply which customers
249
2
Depot Location (Distribution 2)
Where should new depots be built
251
1
Agricultural Pricing
What prices to charge for dairy products
252
1
Efficiency Analysis
How to use data envelopment analysis to compare efficiencies of garages
253
2
Milk Collection
How to route and assign milk collection lorries to farms
255
1
Yield Management
What quantities of airline tickets to sell at what prices and what times
256
3
PART 3
259
46
Formulation and Discussion of Problems
261
44
Food Manufacture 1
262
2
Food Manufacture 2
264
2
Factory Planning 1
266
1
Factory Planning 2
267
2
Manpower Planning
269
3
Refinery Optimization
272
3
Mining
275
2
Farm Planning
277
4
Economic Planning
281
1
Decentralization
282
2
Curve Fitting
284
1
Logical Design
285
1
Market Sharing
286
3
Opencast Mining
289
1
Tariff Rates (Power Generation)
290
1
Hydro Power
291
1
Three-dimensional Noughts and Crosses
292
1
Optimizing a Constraint
293
2
Distribution 1
295
2
Depot Location (Distribution 2)
297
1
Agricultural Pricing
298
2
Efficiency Analysis
300
1
Milk Collection
300
2
Yield Management
302
3
PART 4
305
30
Solutions to Problems
307
28
Food Manufacture 1
307
1
Food Manufacture 2
308
1
Factory Planning 1
309
1
Factory Planning 2
310
2
Manpower Planning
312
2
Refinery Optimization
314
1
Mining
314
1
Farm Planning
315
1
Economic Planning
316
2
Decentralization
318
1
Curve Fitting
318
2
Logical Design
320
1
Market Sharing
320
1
Opencast Mining
321
1
Tariff Rates (Power Generation)
322
1
Hydro Power
323
1
Three-dimensional Noughts and Crosses
324
1
Optimizing a Constraint
324
1
Distribution 1
325
2
Depot Location (Distribution 2)
327
1
Agricultural Pricing
328
1
Efficiency Analysis
329
1
Milk Collection
330
1
Yield Management
331
4
References
335
10
Author Index
345
3
Subject Index
348