Methods and models in mathematical programming. (©2019)

• Record Type: Book
• Further Information: Note: S.A. MirHassani, F. Hooshmand.
• Other Names: MirHassani, S. A; Hooshmand, F
• Contents: Intro -- Abbreviations and Acronyms -- Preface -- Contents -- Chapter 1: Preliminaries -- 1.1 Introduction -- 1.2 Model and Its Types -- 1.3 Value of Mathematical Models -- 1.4 Steps of Model Building -- 1.4.1 Step 1: Identify and Define the Problem -- 1.4.2 Step 2: Collect Data and Present the Model -- 1.4.3 Step 3: Solve the Model -- 1.4.4 Step 4: Validate the Model -- 1.4.5 Step 5: Provide Results to the Organization -- 1.5 Structure of a Mathematical Model -- 1.5.1 Decision Variables -- 1.5.2 Constraints -- 1.5.3 Objective Functions -- 1.5.4 Parameters -- 1.5.5 Solution Types 1.5.6 Model Assumptions -- 1.6 Notes and References -- 1.7 Exercises -- Chapter 2: Main Components of Mathematical Models -- 2.1 Introduction -- 2.2 Variables -- 2.2.1 Free Variables -- 2.2.2 Finite Domain Variables -- 2.2.3 Semi-continuous Variables -- 2.2.4 Partial Integer Variable -- 2.3 Constraints -- 2.3.1 Simple Bound and General Bound -- 2.3.2 Soft and Hard Constraints -- 2.3.3 Redundant and Binding Constraints -- 2.3.4 Cuts and Lazy Constraints -- 2.3.5 Constraints and Special Ordered Sets -- 2.3.6 Chance Constraints -- 2.3.7 Converting Constraints -- 2.4 Objective Functions 2.5 Mathematical Models -- 2.5.1 Continuous and Discrete Models -- 2.5.2 Linear and Nonlinear Models -- 2.5.3 Single and Multi-Objective Models -- 2.5.4 Constrained and Unconstrained Models -- 2.5.5 Static and Dynamic Models -- 2.5.6 Deterministic and Non-deterministic Models -- 2.5.7 LP Models with Interval Coefficients -- 2.5.8 Single and Multi-stage Models -- 2.5.9 Single and Multi-level Models -- 2.6 Solution Methods -- 2.6.1 Solving LP Problems -- 2.6.2 Solving MIP Problems -- 2.6.3 Solving NLP Problems -- 2.6.4 Solving Multi-objective Problems 2.6.5 Dynamic Programming to Solve Optimization Problems -- 2.6.6 Solving Bi-level Problems -- 2.6.7 Solving Problems with Interval Coefficients -- 2.7 Notes and References -- 2.8 Exercises -- Chapter 3: Models and Mathematical Logic -- 3.1 Introduction -- 3.2 Atomic Propositions -- 3.3 Composite Propositions -- 3.4 Propositional Functions -- 3.5 Propositions and Binary Variables -- 3.6 Constraints and Indicators -- 3.6.1 Conditional Indicators -- 3.6.2 Complementarity Rule -- 3.6.3 Bi-Conditional Indicators -- 3.6.4 Either-or Constraints -- 3.6.5 Constraint Selection 3.6.6 Not-Equality Constraints -- 3.6.7 If-Then Constraints -- 3.6.8 If-Then-Else Constraints -- 3.7 Miscellaneous Examples -- 3.8 Notes and References -- 3.9 Exercises -- Chapter 4: Linearization of Nonlinear Functions -- 4.1 Introduction -- 4.2 Variables Multiplication -- 4.2.1 Multiplication of Binary Variables -- 4.2.2 Multiplying Binary and Continuous Variables -- 4.2.3 Multiplying Binary and Integer Variables -- 4.2.4 Converting Integer Variable to Binary -- 4.2.5 Multiplying Two Integer Variables -- 4.2.6 Multiplying Integer and Continuous Variables
• Publisher Details: Cham : Springer
• Publication Date: 2019
• Copyright Date: 2019
• Extent: 1 online resource (399 pages)
• Subjects: 519.7; Programming (Mathematics); Operations research; Operations research; Programming (Mathematics); Electronic books
• Languages: English
• ISBNs: 9783030270452; 3030270459; 9783030270469; 3030270467; 9783030270476; 3030270475
• Related ISBNs: 9783030270445; 3030270440
• Notes: Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.