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Title:A NEW HEURISTIC ALGORITHM FOR MULTI-DIMENSION MULTIPLE-CHOICE KNAPSACK PROBLEM IN DISTRIBUTED SYSTEM
DOI No:10.1142/9781860948534_0006
Source:INNOVATIVE APPLICATIONS OF INFORMATION TECHNOLOGY FOR THE DEVELOPING WORLD (pp 50-52)
Author(s):MD. WASELUL HAQUE SADID
Department of Computer Science & Engineering, Rajshahi University of Engineering & Technology, Bangladesh, India

MIRZA NAZRUL ALAM
Department of Computer Science & Engineering, Rajshahi University of Engineering & Technology, Bangladesh, India

MD. AL MAMUN
Department of Computer Science & Engineering, Rajshahi University of Engineering & Technology, Bangladesh, India

A. H. M. SARWAR SATTAR
Department of Computer Science & Engineering, Rajshahi University of Engineering & Technology, Bangladesh, India

MIR MD. JAHANGIR KABIR
Department of Computer Science & Engineering, Rajshahi University of Engineering & Technology, Bangladesh, India

MD. RABIUL ISLAM
Department of Computer Science & Engineering, Rajshahi University of Engineering & Technology, Bangladesh, India

Abstract:The Multi-Dimension Multiple-Choice Knapsack Problem (MMKP), a variant of the classical 0-1 Knapsack Problem (KP), is an NP-Hard problem and its exact solution is not feasible for real time problems. Therefore heuristic based approximation algorithms are developed for MMKP. The MMKP has a knapsack with a multidimensional capacity constraint and groups of items where each item having a utility value and a multidimensional weight constraint. The problem is to maximize the total value of the items in the knapsack but with the constraint of not exceeding the knapsack capacity. The existing heuristics do not perform better for large number of MMKP data sets. In this paper we proposed a distributed algorithm D-MHEU that achieves approximately 95.5% of the optimal value with much reduced time complexity.
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