Note on the knapsack Markov chain

M. Löwe, C. Meise

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We show that for sufficiently large knapsacks the associated Markov chain on the state space of the admissible packings of the knapsack is rapidly mixing. Our condition basically states that at least half of all items should fit into the knapsack. This is much weaker than the condition assumed by Saloff-Coste (1997).
Original languageEnglish
Pages (from-to)155-170
JournalStochastic Processes and their Applications
Issue number1
Publication statusPublished - 2001


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