Operations Research: Introduction to Models and Methods (Paperback)

This attractive textbook with its easy-to-follow presentation provides a down-to-earth introduction to operations research for students in a wide range of fields such as engineering, business analytics, mathematics and statistics, computer science, and econometrics. It is the result of many years of teaching and collective feedback from students.The book covers the basic models in both deterministic and stochastic operations research and is a springboard to more specialized texts, either practical or theoretical. The emphasis is on useful models and interpreting the solutions in the context of concrete applications.The text is divided into several parts. The first three chapters deal exclusively with deterministic models, including linear programming with sensitivity analysis, integer programming and heuristics, and network analysis. The next three chapters primarily cover basic stochastic models and techniques, including decision trees, dynamic programming, optimal stopping, production planning, and inventory control. The final five chapters contain more advanced material, such as discrete-time and continuous-time Markov chains, Markov decision processes, queueing models, and discrete-event simulation.Each chapter contains numerous exercises, and a large selection of exercises includes solutions.

這本吸引人的教科書以其易於理解的呈現方式，為工程、商業分析、數學與統計、電腦科學和計量經濟學等各個領域的學生提供了一個實用的運籌學入門。這是多年教學和學生集體反饋的結果。該書涵蓋了確定性和隨機運籌學中的基本模型，並可作為更專門的實踐或理論性教材的跳板。重點在於有用的模型以及在具體應用背景下解釋解決方案。本文分為幾個部分。前三章專門介紹了確定性模型，包括具有敏感性分析的線性規劃、整數規劃和啟發式方法，以及網絡分析。接下來的三章主要介紹了基本的隨機模型和技巧，包括決策樹、動態規劃、最優停止、生產計劃和庫存控制。最後的五章包含了更高級的內容，例如離散時間和連續時間馬可夫鏈、馬可夫決策過程、排隊模型和離散事件模擬。每章都包含大量練習題，其中包括解答。