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Program Does Not Equal Program: Constraint Programming and Its Relationship to Mathematical Programming

Irvin J. Lustig, Jean-Francois Puget
2001 Interfaces  
In this short tutorial on constraint programming, we explain how it relates to familiar mathematical programming concepts and how constraint programming and mathematical programming technologies are complementary  ...  For those familiar with mathematical programming, a number of language barriers make it difficult to understand the concepts of constraint programming.  ...  The Word Programming For those familiar with mathematical programming, one of the confusions with regard to understanding constraint programming is the fact that the names of both areas share the word  ... 
doi:10.1287/inte.31.7.29.9647 fatcat:wrokm3jcvneivbqniirnk43dpe

Program Does Not Equal Program: Constraint Programming and Its Relationship to Mathematical Programming

Irvin J. Lustig, Jean-François Puget
2001 Interfaces  
In this short tutorial on constraint programming, we explain how it relates to familiar mathematical programming concepts and how constraint programming and mathematical programming technologies are complementary  ...  For those familiar with mathematical programming, a number of language barriers make it difficult to understand the concepts of constraint programming.  ...  The Word Programming For those familiar with mathematical programming, one of the confusions with regard to understanding constraint programming is the fact that the names of both areas share the word  ... 
doi:10.1287/inte.31.6.29.9647 fatcat:arvkde5p2bgexjdbndinsteday

MATHEMATICAL REPRESENTATION BASED ON PERSONALITY TYPES

Sitti Zuhaerah Thalhah, Thamrin Tayeb, Sumardin Raupu, Dwi Risky Arifanti
2020 Lentera Pendidikan: Jurnal Ilmu Tarbiyah dan Keguruan  
Abstract:This study aims at describing the mathematical representation of students with Sanguine, Choleric, Melancholic and Phlegmatic personality types in solving linear program problems.  ...  students represented problems in four indicators.  ...  program provided and analyzed based on the mathematical representation indicators suggested by Oktavianti (2014) .  ... 
doi:10.24252/lp.2020v23n1i12 fatcat:z53cdfwmc5abtfcsty2uftr4aq

Mathematical programming within the context of a generalized data base management system

R. Bonczek, C. Holsapple, A. Whinston
1978 Reserche operationelle  
Similarly, ROWS indicates that there are many constraints associated with a MATRIX. Within a matrix there is a many-to-many relation between variables and constraints.  ...  Thus a given occurrence of COEFFICIENT cannot be associated with more than one variable (via the HAS set) and one constraint (via the CONTAINS set).  ... 
doi:10.1051/ro/1978120201171 fatcat:6xiwu7lqqjfxzdjiuuxenj2xui

Page 152 of The Journal of the Operational Research Society Vol. 47, Issue 1 [page]

1996 The Journal of the Operational Research Society  
Constraints (4), along with the integrality requirement on y;,, enforce a set-up for item i in any period with positive production for that item.  ...  Mathematical-programming based heuristics include those based on Lagrangian relaxation and set partitioning, which will be discussed later.  ... 

Assessing the Impacts of Rural Development Plan Measures on the Sustainability of Agricultural Holdings Using a PMP Model

Christina Moulogianni, Thomas Bournaris
2021 Land  
For this reason, a positive mathematical programming (PMP) model was developed and implemented in combination with a set of economic, social, and environmental indicators.  ...  The results show that the measure has positive economic impacts, negative social impacts, and negative impacts on most of the environmental indicators.  ...  According to these studies, one of the most important IA tool categories is mathematical programming models.  ... 
doi:10.3390/land10050446 doaj:9ee23fab819147ce8b5752cb839179dd fatcat:jazg2al35zbozadvjdbcyodu2a

Page 6693 of Mathematical Reviews Vol. , Issue 87k [page]

1987 Mathematical Reviews  
Mathematical programming problems with an “lI,” objective func- tion and “I,” constraints are known to have dual problems with concave objective function and essentially linear constraints.  ...  (DK-ARHS) On general decomposition schemes in mathematical programming. Mathematical programming, I. Math. Programming Stud. No. 24 (1985), 238-252.  ... 

Page 3037 of Mathematical Reviews Vol. , Issue 83h [page]

1983 Mathematical Reviews  
The analysis is then extended to programs with more than one nondifferentiable constraint function.”  ...  From the introduction: “We deal with a mathematical program where one of the constraining functions is nondifferentiable and find necessary and sufficient optimality conditions.  ... 

A systematic approach to OSL application programming

A. S. Minkoff
1992 IBM Systems Journal  
An example of a mathematical programming problem, expressed in the format just indicated, is given next.  ...  We begin with a discussion of how mathematical programming problems may be represented sym- bolically, and we present an example.  ... 
doi:10.1147/sj.311.0049 fatcat:2muri3gnqfbenliggrvq7cc3d4

Automating Mathematical Program Transformations [chapter]

Ashish Agarwal, Sooraj Bhat, Alexander Gray, Ignacio E. Grossmann
2010 Lecture Notes in Computer Science  
Mathematical programs (MPs) are a class of constrained optimization problems that include linear, mixed-integer, and disjunctive programs.  ...  Strategies for solving MPs rely heavily on various transformations between these subclasses, but most are not automated because MP theory does not presently treat programs as syntactic objects.  ...  The transformed program, whether a pure MILP or one enhanced with indicator constraints, can be printed to the industry-standard MPS format or the AMPL modeling language.  ... 
doi:10.1007/978-3-642-11503-5_12 fatcat:qloc3g5gxnchffg523lnprt25q

Special issue of Mathematical Programming, Series B, dedicated to the international symposium on mathematical programming, Pittsburgh, July 2015

Gérard Cornuéjols, Andrew Schaefer
2015 Mathematical programming  
This occurs in integer programming as well. Two contributions in this area discuss cutgenerating functions and mathematical optimization with indicator constraints.  ...  This special issue of Mathematical Programming, Series B, is related to the 22nd International Symposium on Mathematical Programming (ISMP) which will take place in Pittsburgh from July 12 to July 17,  ...  This occurs in integer programming as well. Two contributions in this area discuss cutgenerating functions and mathematical optimization with indicator constraints.  ... 
doi:10.1007/s10107-015-0904-3 fatcat:r3mkemurvfb6rnz6d5lrrctcy4

NEEDS ANALYSIS OF THE DEVELOPMENT STUDENT WORKSHEET BASED BLENDED LEARNING TO ENCOURAGE MATHEMATICAL LITERACY

Risa Utaminingsih, Cholis Sa'dijah, Abd. Qohar
2021 Jurnal Aksioma  
The results showed that one of the difficult mathematics materials for class XI MIPA was linear program, mathematics learning was carried out according to the 2013 Curriculum with the application of Blended  ...  Learning in the new normal era, and students still had difficulty solving problems on indicators of interpreting & evaluating mathematical process abilities.  ...  ACKOWLEDGEMENTS The authors are very grateful to Universitas Negeri Malang and Directorate of Research and Community Services (DRPM) the Republic of Indonesia on research funding (contract number 18.3.34  ... 
doi:10.24127/ajpm.v10i3.3718 fatcat:lvh6jmrihfc45g2vcmcwx3u3rq

Binary programming for the simulation of crop rotation and animal transit in an integrated crop-livestock system

Deumara Galdino de Oliveira, Angel Ramon Sanchez Delgado, Sergio Drumond Ventura, Marcelo Dib Cruz, Paulo Cesar Parga Rodrigues
2019 Revista Ciência Agronômica  
The linear-programming model satisfies all the imposed constraints, maximises the weight gain of each animal, and provides the best selection of crops.  ...  The aim of this study was to develop and implement a linear-programming model (LP) that provides as its result a schedule with the best selection of crops in each plot per period, and with the greatest  ...  Therefore, the integer-programming model presented in this section not only provides the optimal solution in the face of imposed constraints, one that maximises the weight gain of each animal with the  ... 
doi:10.5935/1806-6690.20190015 fatcat:w2bd75amnbdbxpoyudsw3wot64

A Modified Work Schedule for Police Officer at a Local University using Mathematical Programming Model

2022 International Journal of Business and Technology Management  
A mathematical programming model was developed to address the issues. Several constraints have been included to cater the problem encountered by the department.  ...  Female guards are not on night duty which is very much requested. Male Muslim guards are also not on morning duty on Friday to allow them to perform Jumaat prayer.  ...  Acknowledgement The authors would like to thank the Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA for the unconditional support given while completing this study.  ... 
doi:10.55057/ijbtm.2022.4.2.1 fatcat:53tt4xpq4jb4jab36w2bfgkpbu

Comparing constraint programming and mathematical programming approaches to discrete optimisation—the change problem

S Heipcke
1999 Journal of the Operational Research Society  
The first part lists frequently used terms in Constraint Programming (CP), contrasting them with their counterparts in Mathematical Programming (MP).  ...  programming and mathematical programming approaches to discrete optimisation—the change problem 585 Constraint programming Commentary Mathematical programming constraint network*!  ... 
doi:10.1057/palgrave.jors.2600730 fatcat:fknukwzkovhejeffmbetbkxxby
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