A hybrid algorithm for the unbounded knapsack problem
نویسندگان
چکیده
منابع مشابه
A hybrid algorithm for the unbounded knapsack problem
This paper presents a new approach for exactly solving the Unbounded Knapsack Problem (UKP) and proposes a new bound that was proved to dominate the previous bounds on a special class of UKP instances. Integrating bounds within the framework of sparse dynamic programming led to the creation of an efficient and robust hybrid algorithm, called EDUK2. This algorithm takes advantage of the majority...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولAn Efficient Algorithm for Reducing the Duality Gap in a Special Class of the Knapsack Problem
A special class of the knapsack problem is called the separable nonlinear knapsack problem. This problem has received considerable attention recently because of its numerous applications. Dynamic programming is one of the basic approaches for solving this problem. Unfortunately, the size of state-pace will dramatically increase and cause the dimensionality problem. In this paper, an efficient a...
متن کاملAn Efficient Algorithm for Reducing the Duality Gap in a Special Class of the Knapsack Problem
A special class of the knapsack problem is called the separable nonlinear knapsack problem. This problem has received considerable attention recently because of its numerous applications. Dynamic programming is one of the basic approaches for solving this problem. Unfortunately, the size of state-pace will dramatically increase and cause the dimensionality problem. In this paper, an efficient a...
متن کاملUnbounded Knapsack Problem: New Results
The recent progress in solving the unbounded knapsack problem (UKP) is tightly related to the phenomenon of dominance which contributes to eliminate the non-prootable object types and reduce drastically the solutions search space. We focus here on the analysis of the computational results obtained by us by (EDUK) for EEcient Dynamic programming for UKP. This new dynamic programming algorithm is...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Optimization
سال: 2009
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2008.09.004