A new algorithm for the 0-1 knapsack problem
Management Science
An exact algorithm for the 0–1 collapsing knapsack problem
Discrete Applied Mathematics - Special volume: viewpoints on optimization
Simple but efficient approaches for the collapsing knapsack problem
Discrete Applied Mathematics
Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem
Management Science
An index selection method without repeated optimizer estimations
Information Sciences: an International Journal
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The collapsing knapsack problem (CKP) is a type of nonlinear knapsack problem in which the knapsack size is a non-increasing function of the number of items included. This paper proposes an exact algorithm for CKP by partitioning CKP to some subproblems, then solving them with the improved expanding-core technique. The proposed algorithm solves the subproblems in the special processing order resulting in the reduction of computing time. Experimental results show that the proposed algorithm is an efficient approach for various random instances of size up to 1000.