{"product_id":"the-operations-research-method-concepts-worked-examples-and-exercises-to-master-linear-programming-duality-transportation-and-integer-optimization-by-thomas-luklin","title":"The Operations Research Method: Concepts, Worked Examples, and Exercises to Master Linear Programming, Duality, Transportation, and Integer Optimization by Thomas Luklin","description":"\u003cp\u003eLearn operations research as a method for making decisions under constraints How do you know, without checking every vertex of a polyhedron, that the solution you just found is truly the global optimum? Strong duality answers this question with striking elegance: build the dual problem, solve it, and if both optimal values match, the debate is closed — no other vertex can do better. This result, at the heart of Chapter 3, transforms the way you see linear programming. This book takes you from LP modeling all the way to network flows — without software, without MATLAB, without Python — through hand computation and rigorous reasoning alone. Across 8 progressive chapters, you discover linear programming modeling and the geometry of vertices, the simplex method treated as a 5-step recipe (two-phase and big-M), duality and strong duality with its optimality certificate (the WOW chapter), sensitivity analysis and the ranges of objective coefficients and right-hand sides, the transportation problem with a 5-step recipe, the assignment problem and the Hungarian algorithm in 5 steps, integer programming via branch-and-bound and Gomory cuts, and network flows covering max-flow, minimum-cost flow, and the critical path method. Three 5-step recipes structure the method: the simplex recipe, the transportation recipe, and the Hungarian recipe. Read more\u003c\/p\u003e","brand":"Independently published","offers":[{"title":"Default Title","offer_id":48131386409145,"sku":"8196555862","price":61.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0793\/7871\/0713\/files\/9798196555862-right-three-quarter.jpg?v=1785163987","url":"https:\/\/www.bestbuybook.com\/products\/the-operations-research-method-concepts-worked-examples-and-exercises-to-master-linear-programming-duality-transportation-and-integer-optimization-by-thomas-luklin","provider":"BestBuyBook","version":"1.0","type":"link"}