Control and Cybernetics

Items from 1 to 11 out of 11 results

article

On a bicriteria optimal production plan

D. Kuchta

Control and Cybernetics > 2007 > Vol. 36, no 2 > 357-366

The classical mathematical programming problem used for the determination of a production plan maximising total income or profit is complemented with a second objective, concerning the makespan of the products being manufactured on two machines. As a result, a bicriterial integer linear programming problem is obtained, which can be solved by means of classical methods. A computational example is presented...

article

On stability of some lexicographic multicriteria Boolean problem

V. A. Emelichev, E. E. Gurevsky

Control and Cybernetics > 2007 > Vol. 36, no 2 > 333-346

We consider a multicriteria lexicographic Boolean problem of minimizing absolute deviations of linear functions from zero. We investigate the stability radius which can be understood as a limit level of independent perturbations of the parameters, for which new lexicographic optima do not appear. Lower and upper accessible bounds of the stability radius are obtained.

article

An approach to finding trade-off solutions by a linear transformation of objective functions

D. Podkopaev

Control and Cybernetics > 2007 > Vol. 36, no 2 > 347-355

We address the problem of deriving Pareto optimal solutions of multiple objective optimization problems with predetermined upper bounds on trade-offs. As shown, this can be achieved by a linear transformation of objective functions. Each non-diagonal element of the transformation matrix is related to a bound on the trade-off between a pair of the objective functions.

article

Completion and clarification to the paper "Tests for relation type - equivalence or tolerance - in finite set of elements"

L. Klukowski

Control and Cybernetics > 2007 > Vol. 36, no 2 > 467-468

article

An application of feedback linearization to the tracking and almost disturbance decoupling control of nonlinear system with uncertainties

C.-C. Chen, Y.-C Huang, W.-J. Lin, D.-C. Shen, more

Control and Cybernetics > 2007 > Vol. 36, no 2 > 385-403

This paper studies the tracking and almost disturbance decoupling problem of nonlinear systems with uncertainties, based on the feedback linearization approach. The main contribution of this study is to construct a controller, under appropriate conditions, such that the resulting closed-loop system is valid for any initial condition and bounded tracking signal with the following characteristics: input-to-state...

article

A method of approximating Pareto sets for assessments of implicit Pareto set elements

I. Kaliszewski

Control and Cybernetics > 2007 > Vol. 36, no 2 > 367-381

Deriving efficient variants in complex multiple criteria decision making problems requires optimization. This hampers greatly broad use of any multiple criteria decision making method. In multiple criteria decision making Pareto sets, i.e. sets of efficient vectors of criteria values corresponding to feasible decision alternatives, are of primal interest. Recently, methods have been proposed to calculate...

article

An EOQ model with time dependent deterioration under discounted cash flow approach when supplier credits are linked to order quantity

B. J. Shah, N. H. Shah, Y. K. Shah

Control and Cybernetics > 2007 > Vol. 36, no 2 > 405-423

This article deals with an inventory model under a situation in which the supplier offers the purchaser some credit period if the purchaser orders a large quantity. Shortages are not allowed. The effects of the inflation rate on purchase price, ordering price and inventory holding price, time dependent deterioration of units and permissible delay in payment are discussed. A mathematical model is developed...

article

Estimation of tolerance relation on the basis of multiple pairwise comparisons with random errors

L. Klukowski

Control and Cybernetics > 2007 > Vol. 36, no 2 > 443-466

The methods of tolerance relation estimation on the basis of pairwise comparisons with random errors, in the case of multiple comparisons for each pair, are proposed in the paper. Each comparison expresses the number of common features of both elements or the number of their missing features. The assumptions made about distributions of comparison errors are very weak, in particular they may be unknown...

article

Stability of the convex combination of polynomials

M. Góra

Control and Cybernetics > 2007 > Vol. 36, no 2 > 425-442

In this paper, we consider the convex combination of polynomials. We provide a necessary and sufficient condition for Hurwitz stability of the convex combination of m real polynomials (m ≥ 3) whose degrees may be different and both necessary, and necessary and sufficient conditions for Hurwitz and Schur stability of the convex combination of two complex polynomials. We show also that the convex combination...

article

Multicriteria models for fair resource allocation

W. Ogryczak

Control and Cybernetics > 2007 > Vol. 36, no 2 > 303-332

Resource allocation problems are concerned with the allocation of limited resources among competing activities so as to achieve the best performances. However, in systems which serve many users there is a need to respect some fairness rules while looking for the overall efficiency. The so-called Max-Min Fairness is widely used to meet these goals. However, allocating the resource to optimize the worst...

article

Interactive multi-objective optimization for simulated moving bed processes

J. Hakanen, Y. Kawajiri, K. Miettinen, L. T. Biegler

Control and Cybernetics > 2007 > Vol. 36, no 2 > 283-302

In this paper, efficient optimization techniques are used to solve multi-objective optimization problems arising from Simulated Moving Bed (8MB) processes. SMBs are widely used in many industrial separations of chemical products and they are very challenging from the optimization point of view. With the help of interactive multi-objective optimization, several conflicting objectives can be considered...

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Vol. 36, no 2
Year:
2007

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Keywords

EFFICIENCY (2)
ALMOST DISTURBANCE DECOUPLING (1)
BI-CRITERIA PROBLEMS (1)
BOOLEAN PROGRAMMING (1)
COMPARISONS EXPRESSING THE NUMBER OF COMMON FEATURES (1)
COMPOSITE LYAPUNOV APPROACH (1)
CONVEX COMBINATION OF POLYNOMIALS (1)
CONVEX FUNCTION APPROXIMATION (1)
DIFFERENTIAL GEOMETRY APPROACH (1)
DISCOUNTED CASHFLOWS (DCF) APPROACH (1)
EQUITY (1)
FAIRNESS (1)
FEEDBACK LINEARIZABLE (1)
FLOW SHOP (1)
HURWITZ STABILITY (1)
INEQUALITY MEASURES (1)
INTERACTIVE METHODS (1)
INTERIOR POINT OPTIMIZATION (1)
IPOPT (1)
LEXICOGRAPHIC SET (1)
LINEAR TRANSFORMATION OF OBJECTIVE FUNCTIONS (1)
MAKESPAN (1)
MULTIOBJECTIVE OPTIMIZATION (1)
MULTIPLE CRITERIA DECISION MAKING (1)
MULTIPLE CRITERIA OPTIMIZATION (1)
MULTIPLE OBJECTIVE OPTIMIZATION (1)
MULTIPLE PAIRWISE COMPARISONS (1)
NIMBUS (1)
OPEN SHOP (1)
PAIRWISE COMPARISONS (1)
PARETO SET (1)
PRODUCTION SCHEDULE (1)
ROOTS OF POLYNOMIALS (1)
SANDWICH ALGORITHMS (1)
SCHUR STABILITY (1)
SIMULATED MOVING BED PROCESSES (1)
STABILITY RADIUS (1)
SUPPLIER CREDIT LINKED TO ORDER QUANTITY (1)
TESTS FOR RELATION TYPE (1)
TIME DEPENDENT DETERIORATION (1)
TOLERANCE RELATION ESTIMATION (1)
TRADE-OFFS (1)
VECTOR OPTIMIZATION (1)
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