Title:

Probabilistic analysis of the Two-Constraint Binary Knapsack Problem : cases of small and large constraints right-hand-sides values

Subtitle:

Raport Badawczy = Research Report ; RB/35/2011

Creator:

Szkatuła, Krzysztof

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2011

Description:

12 pages ; 21 cm ; Bibliography p. 12

Subject and Keywords:

Analiza probabilistyczna ; Probabilistic analysis ; Multi-constraint knapsack problem ; Two-constraint binary knapsack problem ; Lagrange mulitpliers ; Mnożniki lagrange ; Binarny problem plecakowy z dwoma ograniczeniami ; Problem plecakowy z wieloma ograniczeniami

Abstract:

The paper deals with the Two-Constraint Binary Knapsack Problem, which is special case of Multi-Constraint Knapsack Problem, with two constraints only. 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 two specific cases corresponding to large and small values of the Lagrange multipliers.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2011-35

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