A probablistic analysis of the multiknapsack value function

M. Meanti; A.H.G. Rinnooy Kan; L. Stougie; C. Vercellis

doi:10.1007/BF01585741

A probablistic analysis of the multiknapsack value function

M. Meanti, A.H.G. Rinnooy Kan, L. Stougie, C. Vercellis

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Abstract

The optimal solution value of the multiknapsack problem as a function of the knapsack capacities is studied under the assumption that the profit and weight coefficients are generated by an appropriate random mechanism. A strong asymptotic characterization is obtained, that yiclds a closed form expression for certain special cases.

Original language	English
Pages (from-to)	237-247
Number of pages	11
Journal	Mathematical Programming
Volume	46
Issue number	2
DOIs	https://doi.org/10.1007/BF01585741
Publication status	Published - 1990

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title = "A probablistic analysis of the multiknapsack value function",

abstract = "The optimal solution value of the multiknapsack problem as a function of the knapsack capacities is studied under the assumption that the profit and weight coefficients are generated by an appropriate random mechanism. A strong asymptotic characterization is obtained, that yiclds a closed form expression for certain special cases.",

author = "M. Meanti and {Rinnooy Kan}, A.H.G. and L. Stougie and C. Vercellis",

year = "1990",

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journal = "Mathematical Programming",

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T1 - A probablistic analysis of the multiknapsack value function

AU - Meanti, M.

AU - Rinnooy Kan, A.H.G.

AU - Stougie, L.

AU - Vercellis, C.

PY - 1990

Y1 - 1990

N2 - The optimal solution value of the multiknapsack problem as a function of the knapsack capacities is studied under the assumption that the profit and weight coefficients are generated by an appropriate random mechanism. A strong asymptotic characterization is obtained, that yiclds a closed form expression for certain special cases.

AB - The optimal solution value of the multiknapsack problem as a function of the knapsack capacities is studied under the assumption that the profit and weight coefficients are generated by an appropriate random mechanism. A strong asymptotic characterization is obtained, that yiclds a closed form expression for certain special cases.

U2 - 10.1007/BF01585741

DO - 10.1007/BF01585741

M3 - Article

VL - 46

SP - 237

EP - 247

JO - Mathematical Programming

JF - Mathematical Programming

SN - 0025-5610

IS - 2

ER -

A probablistic analysis of the multiknapsack value function

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