Title:

The asymptotic growth of optimal solutions values of random m-constraint knapsacks

Subtitle:

Raport Badawczy = Research Report ; RB/30/2001

Creator:

Szkatuła, Krzysztof

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2001

Description:

8 pages ; 21 cm ; Bibliography p. 8

Subject and Keywords:

Knapsack problems ; Problem plecakowy ; Optimal solution ; Rozwiązanie optymalne

Abstract:

In the paper a class of random knapsack problems with many constraints is considered. It is assumed that some of the problem coefficients are reaIizations of mutually independent uniformly distributed random variables. The asymptotic growth of the optimal solution values of m-constraint, n-variable; m-fixed, n tends to infinity, random knapsacks is investigated for the variety of possible instances of the problem.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2001-30

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