Mathematical modeling for business analytics:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, FL
CRC Press
[2018]
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xix, 429 Seiten Illustrationen |
| ISBN: | 9781138556614 |
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| adam_text | Contents
Preface............................................................xv
Author.......................................................... xix
1. Introduction to Mathematical Modeling for Business Analytics.....1
1.1 Introduction...............................................1
1.2 Background.................................................2
1.2.1 Overview and Process of Mathematical Modeling.......2
1.2.2 The Modeling Process................................4
1.2.3 Mathematical Modeling for Business Analytics
as a Process........................................7
1.2.4 Steps in Model Construction........................10
1.2.5 Illustrative Examples: Starting the Modeling Process.14
1.3 Technology................................................21
1.4 Conclusion................................................22
References and Suggested Readings..............................23
2. Introduction to Stochastic Decision-Making Models for
Business Analytics.............................................25
2.1 Introduction..............................................26
2.2 Probability and Expected Value............................28
2.2.1 Expected Value.....................................30
2.3 Decision Theory and Simple Decision Trees.................35
2.4 Sequential Decisions and Conditional Probability..........40
2.5 Decision Criteria under Risk and under Uncertainty........47
2.6 EXCEL Add-Ins.............................................55
References and Suggested Further Readings......................58
3. Mathematical Programming Models: Linear, Integer, and
Nonlinear Optimization.........................................59
3.1 Introduction............................................ 59
3.2 Formulating Mathematical Programming Problems.............62
3.3 Graphical Linear Programming..............................73
3.4 Mathematical Programming with Technology..................83
3.4.1 Linear Programming.................................83
3.4.1.1 Using LINDO................................93
3.4.1.2 Using LINGO................................94
3.4.1.3 MAPLE......................................95
3.4.1.4 Integer and Nonlinear Progra mming.........98
xi
Xll
Contents
3.5 Case Studies in Mathematical Programming.................99
3.6 Examples for Integer, Mixed-Integer, and Nonlinear
Optimization.............................................104
3.7 Simplex Method in Excel..................................109
3.7.1 Steps of the Simplex Method.......................110
References and Suggested Further Reading.......................115
4. Introduction to Multi-At tribute Decision-Making in
Business Analytics.............................................117
4.1 Introduction..............................................119
4.2 Data Envelopment Analysis.................................119
4.2.1 Description and Uses...............................119
4.2.2 Methodology.........................................120
4.2.3 Strengths and Limitations to Data Envelopment
Analysis..........................................121
4.2.4 Sensitivity Analysis................................121
4.2.5 Illustrative Examples...............................122
4.3 Weighting Methods.........................................133
4.3.1 Modified Delphi Method..............................133
4.3.2 Rank Order Centroid Method..........................135
4.3.3 Ratio Method........................................136
4.3.4 Pairwise Comparison (Analytical Hierarchy
Process)...........................................136
4.3.5 Entropy Method......................................138
4.4 Simple Additive Weighting Method...........................140
4.4.1 Description and Uses................................140
4.4.2 Methodology.........................................141
4.4.3 Strengths and Limitations...........................141
4.4.4 Sensitivity Analysis................................141
4.4.5 Illustrative Examples: Simple Additive Weighting.142
4.5 Analytical Hierarchy Process............................. 147
4.5.1 Description and Uses................................147
4.5.2 Methodology of the Analytic Hierarchy Process.......149
4.5.3 Strengths and Limitations of Analytic Hierarchy
Process............................................150
4.5.4 Sensitivity Analysis................................152
4.5.5 Illustrative Examples with Analytic Hierarchy
Process............................................152
4.6 Technique of Order Preference by Similarity to the
Ideal Solution...........................................159
4.6.1 Description and Uses................................159
4.6.2 Methodology.........................................160
4.6.2.1 Normalization..............................162
4.6.3 Strengths and Limitations...........................163
Contents xiii
4.6.4 Sensitivity Analysis..............................163
4.6.5 Illustrate Examples with Technique of Order
Preference by Similarity to the Ideal Solution...163
References and Suggested Additional Readings..................167
5. Modeling with Game Theory ....................................169
5.1 Introduction.............................................170
5.2 Background of Game Theory................................173
5.2.1 Two-Person Total Conflict Games...................173
5.2.2 Games Are Simultaneous and Repetitive.............174
5.3 Illustrative Modeling Examples of Zero-Sum Games.........184
5.4 Partial Conflict Games Illustrative Examples.............200
5.5 Summary and Conclusions..................................214
References and Suggested Readings.............................214
6. Regression and Advanced Regression Models.....................217
6.1 Introduction to Regression...............................218
6.2 Modeling, Correlation, and Regression....................220
6.2.1 Linear, Multiple, and Nonlinear Regression........221
6.2.2 Multiple Linear Regression........................223
6.2.3 Nonlinear Regression (Exponential Decay)..........224
6.3 Advanced Regression Techniques with Examples.............228
6.3.1 Data..............................................228
6.4 Conclusion and Summary...................................243
References and Suggested Reading..............................244
7. Discrete Dynamical System Models..............................247
7.1 Introduction to Modeling with Dynamical Systems
and Difference Equations.................................248
7.2 Modeling Discrete Change.................................248
7.3 Equilibrium Values and Long-Term Behavior................258
7.3.1 Equilibrium Values................................258
7.3.2 A Graphical Approach to Equilibrium Values........260
7.3.3 Stability and Long-Term Behavior..................264
7.4 Modeling Nonlinear Discrete Dynamical Systems............268
7.4.1 Introduction and Nonlinear Models.................268
7.5 Modeling Systems of Discrete Dynamical Systems...........273
7.6 Summary..................................................305
References and Suggested Further Readings.....................306
8. Simulation Modeling...........................................307
8.1 Introduction.............................................307
8.2 Random Number and Monte Carlo Simulation.................309
8.2.1 Random-Number Generators in Excel.................310
8.2.2 Examples in Excel.................................311
xiv Contents
8.3 Probability and Monte Carlo Simulation Using
Deterministic Behavior...................................312
8.3.1 Deterministic Simulation Examples...................312
8.4 Probability and Monte Carlo Simulation Using
Probabilistic Behavior....................................321
8.5 Applied Simulations and Queuing Models.....................324
Further Reading and References..................................333
9. Mathematics of Finance with Discrete Dynamical System..........335
9.1 Developing a Mathematical Financial Model Formula..........335
9.1.1 Simple Interest and Compound Interest...............336
9.2 Rates of Interest, Discounting, and Depreciation...........342
9.2.1 Annual Percentage Rate..............................343
9.2.2 APR for Continuous Compounding......................345
9.2.3 Discounts...........................................345
9.2.4 Depreciation........................................346
9.3 Present Value .............................................348
9.3.1 Net Present Value and Internal Rate of Return.......348
9.3.2 Internal Rate of Return.............................349
9.4 Bonds, Annuities, and Shrinking Funds......................352
9.4.1 Government Bonds....................................352
9.4.2 Annuities and Sinking Funds....................... 354
9.4.2.1 Ordinary Annuities.........................354
9.4.3 Present Value of an Annuity.........................356
9.5 Mortgages and Amortization.................................359
9.6 Financial Models Using Previous Techniques............... 363
References and Suggested Readings..............................375
Answers to Selected Exercises......................................377
Index..............................................................425
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| spelling | Fox, William P. 1949- (DE-588)1043166513 aut Mathematical modeling for business analytics by William P. Fox Boca Raton, FL CRC Press [2018] xix, 429 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Decision making Mathematical models Management Mathematical models Betriebsanalyse (DE-588)4006164-4 gnd rswk-swf Entscheidungsfindung (DE-588)4113446-1 gnd rswk-swf Unternehmen (DE-588)4061963-1 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 s Betriebsanalyse (DE-588)4006164-4 s Unternehmen (DE-588)4061963-1 s Entscheidungsfindung (DE-588)4113446-1 s b DE-604 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030130040&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fox, William P. 1949- Mathematical modeling for business analytics Decision making Mathematical models Management Mathematical models Betriebsanalyse (DE-588)4006164-4 gnd Entscheidungsfindung (DE-588)4113446-1 gnd Unternehmen (DE-588)4061963-1 gnd Mathematische Modellierung (DE-588)7651795-0 gnd |
| subject_GND | (DE-588)4006164-4 (DE-588)4113446-1 (DE-588)4061963-1 (DE-588)7651795-0 |
| title | Mathematical modeling for business analytics |
| title_auth | Mathematical modeling for business analytics |
| title_exact_search | Mathematical modeling for business analytics |
| title_full | Mathematical modeling for business analytics by William P. Fox |
| title_fullStr | Mathematical modeling for business analytics by William P. Fox |
| title_full_unstemmed | Mathematical modeling for business analytics by William P. Fox |
| title_short | Mathematical modeling for business analytics |
| title_sort | mathematical modeling for business analytics |
| topic | Decision making Mathematical models Management Mathematical models Betriebsanalyse (DE-588)4006164-4 gnd Entscheidungsfindung (DE-588)4113446-1 gnd Unternehmen (DE-588)4061963-1 gnd Mathematische Modellierung (DE-588)7651795-0 gnd |
| topic_facet | Decision making Mathematical models Management Mathematical models Betriebsanalyse Entscheidungsfindung Unternehmen Mathematische Modellierung |
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