ISE Introduction to Operations Research 2024 Release By Frederick Hillier, Gerald Lieberman
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- Education
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The ISE Introduction to Operations Research 2024 Release By Frederick Hillier, Gerald Lieberman topics covered
The 2024 Release International Student Edition (ISE) of Introduction to Operations Research by Frederick Hillier and Gerald Lieberman spans 20 chapters and 5 mathematical appendices. The textbook balances deterministic and probabilistic modeling with an increased focus on data analytics, business applications, and modern modeling software. [1, 2, 3, 4]
The core topics covered in this edition include:
Linear and Deterministic Programming
- Linear Programming: Foundational concepts, formulation, and real-world application modeling.
- The Simplex Method: Solution algorithms, including geometric and algebraic approaches for solving linear programs.
- Duality Theory & Sensitivity Analysis: Investigating the dual problem framework and analyzing how changes in parameters affect the optimal solution.
- Integer Programming: Algorithms and formulations for problems where decision variables must take integer values.
- Nonlinear Programming: Optimization techniques handling non-linear objective functions or constraints. [1, 2, 3]
Network and System Optimization
- Network Optimization Models: Covering shortest-path, minimum spanning tree, maximum flow, and minimum-cost flow problems.
- Dynamic Programming: A recursive strategy breaking complex, multi-stage decisions down into simpler sequential sub-problems.
- Metaheuristics: Advanced heuristic search strategies for navigating large and complex optimization spaces. [1, 2, 3]
Stochastic, Probabilistic, and Decision Models
- Game Theory: Mathematical modeling of strategic interaction and competitive environments among rational decision-makers.
- Queueing Theory: Mathematical evaluation of waiting lines, congestion, and service system designs.
- Inventory Theory: Mathematical approaches to supply chains, optimal stock levels, economic order quantity (EOQ), and dynamic inventory systems.
- Simulation: Using computer-based models to imitate the operations of real-world systems under uncertainty. [1, 2, 3]
Analytics & Software Tools
- Analytics Categories: Coverage of descriptive, predictive (integrating machine learning and AI), and prescriptive analytics.
- Software Integration: Applications using programming languages and solvers such as Gurobi and AMPL alongside spreadsheet tools. [1]
Appendices
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28.96 MB