The 0?1 multiple?knapsack problem is an extension of the well?known 0?1 knapsack problem. It is a problem of assigning m objects, each having a value and a Abstract: In this paper, we present a heuristic which derives a feasible solution for the Multiple Knapsack Problem (MKP). The proposed heuristic called RCH, is based on agent decomposition and market auctions for approximating the 0-1 multiple knapsack problem, and an algorithm that implements the model (M(x)). The computational performance of the proposed algorithm is analyzed and comparisons M.S. Hung, J.C. DiskAn algorithm for 0–1 multiple knapsack problems. 31 May 2017 Transportation Algorithm is applied to solve the Multiple Knapsack .. 4 Solving the 0-1 Knapsack Problem by an Adapted Transportation. Knapsack Problem and an algorithm is derived; an illustrative example of the procedure is 1 xi,j if item j is assigned to knapsack i;. = 0 otherwise. Formally, the problem. 6.1. INTRODUCTION. The 0-1 Multiple Knapsack Problem(MKP) then the problem has the trivial solution x,-.; = 1 for7 EN. Xy. = 0 for / £. M\{i*]. Algorithm 632: A program for the 0–1 multiple knapsack problem, Published by ACM 1985 Article. Artifacts. Artifacts Evaluated - Reusable. Artifacts Available.Request PDF on ResearchGate | Solution of the 0–1 multiple knapsack problem | The zero-one multiple knapsack problem is an extension of the zero-one The 0-1 multiple-knapsack problem is an extension of the well-known 0-1 knapsack problem. It is a problem of assigning m objects, each having a value and a