001432259 000__ 06183cam\a2200589\a\4500 001432259 001__ 1432259 001432259 003__ OCoLC 001432259 005__ 20230309003432.0 001432259 006__ m\\\\\o\\d\\\\\\\\ 001432259 007__ cr\un\nnnunnun 001432259 008__ 201103s2021\\\\sz\\\\\\o\\\\\000\0\eng\d 001432259 019__ $$a1204136287$$a1228843672$$a1249108250 001432259 020__ $$a9783030572501$$q(electronic bk.) 001432259 020__ $$a3030572501$$q(electronic bk.) 001432259 020__ $$z9783030572495 001432259 0247_ $$a10.1007/978-3-030-57250-1$$2doi 001432259 035__ $$aSP(OCoLC)1202753428 001432259 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dEBLCP$$dUKAHL$$dOCLCO$$dUPM$$dOCLCF$$dOCLCQ$$dOCLCO$$dCOM$$dOCLCQ 001432259 049__ $$aISEA 001432259 050_4 $$aQA401 001432259 08204 $$a511/.8$$223 001432259 1001_ $$aSánchez, José Manuel García. 001432259 24510 $$aModelling in mathematical programming :$$bmethodology and techniques /$$cJosé Manuel García Sánchez. 001432259 260__ $$aCham, Switzerland :$$bSpringer,$$c2021. 001432259 300__ $$a1 online resource 001432259 336__ $$atext$$btxt$$2rdacontent 001432259 337__ $$acomputer$$bc$$2rdamedia 001432259 338__ $$aonline resource$$bcr$$2rdacarrier 001432259 347__ $$atext file 001432259 347__ $$bPDF 001432259 4901_ $$aInternational Series in Operations Research & Management Science,$$x0884-8289 ;$$vv. 298 001432259 504__ $$aReferences-Chapter 5: Calculations in a System-5.1 Introduction-5.2 Auxiliary Calculations-5.2.1 Auxiliary Calculation of Value Selection-5.3 Logical Calculations-5.3.1 Logical Propositions and Logical Operators-5.3.2 Identification and Definition of a Logical Calculation-5.3.3 Reduction of the Definition of a Logical Calculation-5.4 Lower/Upper Bound Calculations-5.4.1 Bounds on Undetermined Variables-References-Chapter 6: Modelling and Types of Specifications-6.1 Introduction-6.2 Elements on Which the Specification Falls on. 001432259 5050_ $$aIntro -- Preface -- Contents -- Chapter 1: Introduction to Modelling in Mathematical Programming -- 1.1 Model -- 1.2 Classical Components of a Mathematical Programming Model -- 1.3 Classification of Mathematical Programming Models -- 1.4 First Example -- 1.5 Considerations on the Format of a Mathematical Model -- 1.6 Justification of the Use of Mathematical Programming Models -- References -- Chapter 2: Structure of a Mathematical Programming Model -- 2.1 Environment of an Optimization Problem -- 2.2 Components of an Optimization Problem -- 2.3 Examples -- References 001432259 5058_ $$aChapter 3: The Elements of a System -- 3.1 Introduction -- 3.2 Data of Elements -- 3.2.1 Belonging of the Data -- 3.2.2 Primary Element in a Shared Attribute -- 3.2.3 Type of Value of the Data -- 3.2.4 Representation -- 3.2.5 Inclusion of Calculated Data -- 3.3 The Quantitative Nature of the Elements -- 3.3.1 Collective Element vs Individual Items -- 3.4 Association of Elements in Sets -- 3.4.1 Assigning or Removing Data to Create Sets -- 3.4.2 Shared Data Between Elements of the Same Set -- 3.4.3 Hierarchical Definition of Sets -- 3.5 Data Generating Elements 001432259 5058_ $$a3.6 Identification of Data in Graphic Environments. Elements in Graphs -- 3.6.1 Representation of Graphs -- 3.7 The Time Element -- 3.8 Element Duplication -- 3.9 Examples -- 3.9.1 Fire Stations (Source: Larrañeta et al. 2003) -- 3.9.2 Food Service (Source: Larrañeta et al. 2003) -- 3.9.3 Location of TV Cameras (Source: Larrañeta et al. 2003) -- 3.9.4 Trip Planning -- 3.9.5 Fixed Job Scheduling Problem (Kroon et al. 1995) -- 3.9.6 Health Centers -- References -- Chapter 4: Decision Activities -- 4.1 Introduction -- 4.2 Actions of a System -- 4.2.1 Actions with Calculated Value 001432259 5058_ $$a4.2.2 Actions with Undetermined Value -- 4.3 Participating Elements in a Decision Activity -- 4.3.1 Rules of Participation -- 4.4 Quantification of the Activity -- 4.5 Union of Activities -- 4.6 Examples -- 4.6.1 Fire Stations (Example 3.9.1 -- Source: Larrañeta et al. 2003) -- 4.6.2 Food Service (Example 3.9.2 -- Source: Larrañeta et al. 2003) -- 4.6.3 Location of TV Cameras (Example 3.9.3 -- Source: Larrañeta et al. 2003) -- 4.6.4 Trip Planning (Example 3.9.4) -- 4.6.5 Fixed Job Scheduling Problem (Example 3.9.5 -- Kroon et al. 1995 -- Kolen et al. 2007) -- 4.6.6 Health Centers (Example 3.9.6) 001432259 506__ $$aAccess limited to authorized users. 001432259 520__ $$aThis book provides basic tools for learning how to model in mathematical programming, from models without much complexity to complex system models. It presents a unique methodology for the building of an integral mathematical model, as well as new techniques that help build under own criteria. It allows readers to structure models from the elements and variables to the constraints, a basic modelling guide for any system with a new scheme of variables, a classification of constraints and also a set of rules to model specifications stated as logical propositions, helping to better understand models already existing in the literature. It also presents the modelling of all possible objectives that may arise in optimization problems regarding the variables values. The book is structured to guide the reader in an orderly manner, learning of the components that the methodology establishes in an optimization problem. The system includes the elements, which are all the actors that participate in the system, decision activities that occur in the system, calculations based on the decision activities, specifications such as regulations, impositions or actions of defined value and objective criterion, which guides the resolution of the system. 001432259 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 20, 2021). 001432259 650_0 $$aMathematical models. 001432259 650_0 $$aProgramming (Mathematics) 001432259 650_6 $$aModèles mathématiques. 001432259 650_6 $$aProgrammation (Mathématiques) 001432259 655_0 $$aElectronic books. 001432259 77608 $$iPrint version: $$z3030572498$$z9783030572495$$w(OCoLC)1176327314 001432259 830_0 $$aInternational series in operations research & management science ;$$v298.$$x0884-8289 001432259 852__ $$bebk 001432259 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-57250-1$$zOnline Access$$91397441.1 001432259 909CO $$ooai:library.usi.edu:1432259$$pGLOBAL_SET 001432259 980__ $$aBIB 001432259 980__ $$aEBOOK 001432259 982__ $$aEbook 001432259 983__ $$aOnline 001432259 994__ $$a92$$bISE