Title:

Probabilistic analysis of the maximum set packing problem

Subtitle:

Raport Badawczy = Research Report ; RB/26/2008

Creator:

Szkatuła, Krzysztof

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2008

Description:

17 pages ; 21 cm ; Bibliography p. 16

Subject and Keywords:

Problem plecakowy ; Analiza probabilistyczna ; Lagrange ; Probabilistic analysis ; Maximum set packing problem ; Knapsack problem ; Optimal solution ; Rozwiązanie optymalne ; Pakowanie ; Dual estimations

Abstract:

The paper deals with the well known set packing problem and its special case when number of subsets is maximized. It is assumed that some of the problem coefficients are realizations of mutually independent random variables. Asymptotical probabilistic properties of selected problem characteristics are investigated for the variety of possible instances of the problem.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2008-26

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open