Knapsack problems: A book review
نویسنده
چکیده
We review the recent book authored by Hans Kellerer, Ulrich Pferschy, and David Pisinger, Knapsack Problems, Springer, Berlin Heidelberg New York 2004, ISBN 3-540-40286-1, price: $129.
منابع مشابه
Hans Kellerer, Ulrich Pferschy and David Pisinger, Knapsack Problems, Springer, Berlin (2004) ISBN 3-540-40286-1 546pp., EUR 99, 95
I cannot help but start this review with an analogy between the knapsack problem and the traveling salesman problem (TSP), the two most studied problems of combinatorial optimization. Both problems are easy to explain even to a stranger, both are hard to solve. Each of these problems is important in its own right as well as due to numerous applications. Each of the two problems forms an excelle...
متن کاملA dynamic programming approach for solving nonlinear knapsack problems
Nonlinear Knapsack Problems (NKP) are the alternative formulation for the multiple-choice knapsack problems. A powerful approach for solving NKP is dynamic programming which may obtain the global op-timal solution even in the case of discrete solution space for these problems. Despite the power of this solu-tion approach, it computationally performs very slowly when the solution space of the pr...
متن کاملPolyhedral combinatorics: An annotated bibliography
The system Bx b is said to describe P , and each hyperplane fx 2 IR : B i x = big is called a cutting plane. One of the central questions in polyhedral combinatorics is to nd the cutting planes that describe P . This question is the subject of this chapter. We start with a section on books and collections of survey articles that treat polyhedral combinatorics in detail. x2 on integer programmin...
متن کاملFinancial Planning with 0-1 Knapsack Problems, Part Ii: Using Domination Results to Solve Knapsack Problems
Part II uses domination results in knapsack problems to assist in generating solutions more rapidly and with less work. In particular, domination results are used to: (1) generate smaller problems so that less work is needed to solve the problems, and (2) speed up solution by pruning the variable sets that must be examined. Three solution processes are examined in Part II. Domination resultS ar...
متن کاملCover Inequalities
Cover inequalities are a special kind of linear inequalities thatare satisfied by the feasible solutions to knapsack problems. Although ini-tially defined in the context of knapsack problems, cover inequalities andtheir variants can be used as cutting planes for a variety of integer program-ming and combinatorial optimisation problems. We review the theory ofthese inequaliti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- 4OR
دوره 2 شماره
صفحات -
تاریخ انتشار 2004