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Good sources on developing mathematical models [closed]

Recommended books/materials for practical applications of Operations Research in industryHow to determine if a given problem seems to be a good fit to be solved using combinatorial Benders decompositionWhat are best practices for coding up MIP models?Conditional Controls in MIP ModelsHow to determine the correct level of detail when modelling?

5

$begingroup$

What are good sources (literature, internet, etc) on learning to model real-world problems using mathematical formulations?
In particular, I would like to know sources which establish the relationship between the meaning of a mathematical construct and its real-world counterpart.
For example:

• quantities are usually represented through variables or parameters




• equations represent causal-effect relationships between concepts




• inequations represent limits




• etc.

modeling reference-request

share|improve this question

edited Jul 6 at 20:15

EhsanK

1,39022 silver badges2323 bronze badges

asked Jul 6 at 20:06

decision makerdecision maker

2633 bronze badges

$endgroup$

closed as too broad by Michael Feldmeier, Ryan Cory-Wright, Rob, Oguz Toragay, Marco Lübbecke Jul 7 at 22:24

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  How about some of the books introduced in this question about "practical applications of OR in the industry"?
  $endgroup$
  – EhsanK
  Jul 6 at 20:14
  

  
  
  
  


• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  The relationship between original problem and mathematical model, and indeed the ingredients that go into the mathematical model, will be tied to the nature of the model (optimization, discrete simulation, continuous simulation, Markov process, ...).
  $endgroup$
  – prubin
  Jul 6 at 21:11
  

  
  
  
  

add a comment | 

5

$begingroup$

What are good sources (literature, internet, etc) on learning to model real-world problems using mathematical formulations?
In particular, I would like to know sources which establish the relationship between the meaning of a mathematical construct and its real-world counterpart.
For example:

• quantities are usually represented through variables or parameters




• equations represent causal-effect relationships between concepts




• inequations represent limits




• etc.

modeling reference-request

share|improve this question

edited Jul 6 at 20:15

EhsanK

1,39022 silver badges2323 bronze badges

asked Jul 6 at 20:06

decision makerdecision maker

2633 bronze badges

$endgroup$

closed as too broad by Michael Feldmeier, Ryan Cory-Wright, Rob, Oguz Toragay, Marco Lübbecke Jul 7 at 22:24

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  $begingroup$
  How about some of the books introduced in this question about "practical applications of OR in the industry"?
  $endgroup$
  – EhsanK
  Jul 6 at 20:14
  

  
  
  
  


• 
  
  
  

  
  3
  

  
  
  
  
  
  

  
  $begingroup$
  The relationship between original problem and mathematical model, and indeed the ingredients that go into the mathematical model, will be tied to the nature of the model (optimization, discrete simulation, continuous simulation, Markov process, ...).
  $endgroup$
  – prubin
  Jul 6 at 21:11
  

  
  
  
  

add a comment | 

$begingroup$

What are good sources (literature, internet, etc) on learning to model real-world problems using mathematical formulations?
In particular, I would like to know sources which establish the relationship between the meaning of a mathematical construct and its real-world counterpart.
For example:

• quantities are usually represented through variables or parameters




• equations represent causal-effect relationships between concepts




• inequations represent limits




• etc.

modeling reference-request

share|improve this question

edited Jul 6 at 20:15

EhsanK

1,39022 silver badges2323 bronze badges

asked Jul 6 at 20:06

decision makerdecision maker

2633 bronze badges

$endgroup$

share|improve this question

edited Jul 6 at 20:15

EhsanK

1,39022 silver badges2323 bronze badges

asked Jul 6 at 20:06

decision makerdecision maker

2633 bronze badges

share|improve this question

edited Jul 6 at 20:15

EhsanK

1,39022 silver badges2323 bronze badges

asked Jul 6 at 20:06

decision makerdecision maker

2633 bronze badges

edited Jul 6 at 20:15

EhsanK

1,39022 silver badges2323 bronze badges

edited Jul 6 at 20:15

EhsanK

1,39022 silver badges2323 bronze badges

asked Jul 6 at 20:06

decision makerdecision maker

2633 bronze badges

asked Jul 6 at 20:06

decision makerdecision maker

2633 bronze badges

2 Answers
2

active

oldest

votes

7

$begingroup$

I have found MOSEKs modelling cookbook particularly useful: https://docs.mosek.com/MOSEKModelingCookbook-letter.pdf

share|improve this answer

answered Jul 7 at 13:02

SuneSune

78244 silver badges1111 bronze badges

$endgroup$

add a comment | 

6

$begingroup$

In my case I found these two sources to be very helpful for mathematical modelling:

1. AMPL: A Modeling Language
   for Mathematical Programming


2. Model Building in Mathematical Programming

The first one is free and very simple to understand.

share|improve this answer

answered Jul 7 at 11:28

GeorgiosGeorgios

9377 bronze badges

$endgroup$

add a comment | 

7

$begingroup$

I have found MOSEKs modelling cookbook particularly useful: https://docs.mosek.com/MOSEKModelingCookbook-letter.pdf

share|improve this answer

answered Jul 7 at 13:02

SuneSune

78244 silver badges1111 bronze badges

$endgroup$

add a comment | 

7

$begingroup$

I have found MOSEKs modelling cookbook particularly useful: https://docs.mosek.com/MOSEKModelingCookbook-letter.pdf

share|improve this answer

answered Jul 7 at 13:02

SuneSune

78244 silver badges1111 bronze badges

$endgroup$

add a comment | 

$begingroup$

I have found MOSEKs modelling cookbook particularly useful: https://docs.mosek.com/MOSEKModelingCookbook-letter.pdf

share|improve this answer

answered Jul 7 at 13:02

SuneSune

78244 silver badges1111 bronze badges

$endgroup$

share|improve this answer

answered Jul 7 at 13:02

SuneSune

78244 silver badges1111 bronze badges

answered Jul 7 at 13:02

SuneSune

78244 silver badges1111 bronze badges

answered Jul 7 at 13:02

SuneSune

78244 silver badges1111 bronze badges

6

$begingroup$

In my case I found these two sources to be very helpful for mathematical modelling:

1. AMPL: A Modeling Language
   for Mathematical Programming


2. Model Building in Mathematical Programming

The first one is free and very simple to understand.

share|improve this answer

answered Jul 7 at 11:28

GeorgiosGeorgios

9377 bronze badges

$endgroup$

add a comment | 

6

$begingroup$

In my case I found these two sources to be very helpful for mathematical modelling:

1. AMPL: A Modeling Language
   for Mathematical Programming


2. Model Building in Mathematical Programming

The first one is free and very simple to understand.

share|improve this answer

answered Jul 7 at 11:28

GeorgiosGeorgios

9377 bronze badges

$endgroup$

add a comment | 

$begingroup$

In my case I found these two sources to be very helpful for mathematical modelling:

1. AMPL: A Modeling Language
   for Mathematical Programming


2. Model Building in Mathematical Programming

The first one is free and very simple to understand.

share|improve this answer

answered Jul 7 at 11:28

GeorgiosGeorgios

9377 bronze badges

$endgroup$

share|improve this answer

answered Jul 7 at 11:28

GeorgiosGeorgios

9377 bronze badges

answered Jul 7 at 11:28

GeorgiosGeorgios

9377 bronze badges

answered Jul 7 at 11:28

GeorgiosGeorgios

9377 bronze badges