Our proposed approach has been intensively validated on the Intel Paragon and IBM/SP2 using NX and MPI libraries. The experimental results show a linear acceleration, which enables to solve huge instances of the hardest known 0/1 bi-knapsack problems in a very reasonable time.Benamar Sidi Boule...
in distributed memory machines(MMD). Our approach develops the tiling technique in order to control the grain parallelism and find the optimal granularity. Our proposed approach has been intensively validated on the Intel Paragon and IBM/SP2 using NX and MPI libraries. The ...
This is a C++ Program to knapsack problem using dynamic programming. The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a mass and a value, determine the number of each item to include in a collection so that the total weight...
This is java program to implement Knapsack problem using Dynamic programming.Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack. Consider all subsets of items and calculate the total weight and value of all subsets....
Previous study of this problem attempted to find its optimal solution through the branch-and-bound procedure using special-orderedsets. In this paper, we propose another solution approach based on the dynamic programming to locate its optimal solution through recursive evaluation of Bellman''s ...
We present an approximate dynamic programming (ADP) approach for solving convex QKPs where variables may take any integer value and all coefficients are real numbers. We approximate the function value using (a) continuous quadratic programming relaxation (CQPR), and (b) the integral parts of the...
looking to solve the following problem, which can be found here http://www.cs.berkeley.edu/~vazirani/algorithms/chap6.pdf: You are given a rectangular piece of cloth with dimensions X by Y, where X and Y are positive integers, and a list of n products that can be made using the ...
C) Meet-in-the-middle Approach: We will update bitmask when we see a better solution AND ON DP-CALCULATION. Bitmasking - O(2^(n/2)) time - O(2^(n/2)) space B) Solution for small sum of weight — C[i] A) Recursive Dynamic Programming: Starting from (i=0,s=0)(i=0,s=...
A mixed integer program is solved iteratively and in addition we introduce two new constraints and a binary variable at every iteration. An alternative approach was proposed by Xu and Wang (2014), where (y∗,(x∗,x0)) is eliminated from search using a branching rule. The branching rule...
We show how to solve the problems exactly using dynamic program- ming algorithms with pseudo-polynomial running times and propose fully polynomial-time approximation schemes for their approximate solution. Keywords Knapsack problem · Approximation schemes · Dynamic programming 1 Introduction One of the ...