Functioning of the Clothing Networks on the Global Markets - Comparative Analysis

In the clothing sector the partnership networks are being created between the economic subject, because such actions are aimed at minimising the risk, as well as to reducing the production and distribution costs. The most often encountered networks in the textile-clothing branch are the franchising networks. The present article concentrates on the competitiveness aspect of the global clothing networks. A comparative analysis of the action of the commercial clothing networks was made, in order to show some features of its operation and proceeding, while focusing on the specified elements of the marketing-mix strategy. The obtained results allowed to show the differences and similarities in the used marketing strategies.W niniejszym artykule skoncentrowano się na aspekcie konkurencyjności globalnych sieci odzieżowych. Dokonano analizy porównawczej działania odzieżowych sieci handlowych, w celu ukazania pewnych cech jego działalności i postępowania skupiając się na określonych elementach strategii marketing-mix. Uzyskane wyniki pozwoliły na pokazanie róznic i podobieństw w stosowanych strategiach marketingowych

Delta-Nabla Optimal Control Problems

We present a unified treatment to control problems on an arbitrary time scale by introducing the study of forward-backward optimal control problems. Necessary optimality conditions for delta-nabla isoperimetric problems are proved, and previous results in the literature obtained as particular cases. As an application of the results of the paper we give necessary and sufficient Pareto optimality conditions for delta-nabla bi-objective optimal control problems.Comment: Preprint version of an article submitted 28-Nov-2009; revised 02-Jul-2010; accepted 20-Jul-2010; for publication in Journal of Vibration and Contro

The Variational Calculus on Time Scales

The discrete, the quantum, and the continuous calculus of variations, have been recently unified and extended by using the theory of time scales. Such unification and extension is, however, not unique, and two approaches are followed in the literature: one dealing with minimization of delta integrals; the other dealing with minimization of nabla integrals. Here we review a more general approach to the calculus of variations on time scales that allows to obtain both delta and nabla results as particular cases.Comment: 15 pages; Published in: Int. J. Simul. Multidisci. Des. Optim. 4 (2010), 11--2

Nonessential functionals in multiobjective optimal control problems

We address the problem of obtaining well-defined criteria for multiple criteria optimal control problems. Necessary and sufficient conditions for an objective functional to be nonessential are proved. The results provide effective tools for determining nonessential objectives in multiobjective optimal control problems

Noether's symmetry theorem for nabla problems of the calculus of variations

We prove a Noether-type symmetry theorem and a DuBois-Reymond necessary optimality condition for nabla problems of the calculus of variations on time scales.Comment: Submitted 20/Oct/2009; Revised 27/Jan/2010; Accepted 28/July/2010; for publication in Applied Mathematics Letter

Noether's Theorem for Control Problems on Time Scales

We prove a generalization of Noether's theorem for optimal control problems defined on time scales. Particularly, our results can be used for discrete-time, quantum, and continuous-time optimal control problems. The generalization involves a one-parameter family of maps which depend also on the control and a Lagrangian which is invariant up to an addition of an exact delta differential. We apply our results to some concrete optimal control problems on an arbitrary time scale.Comment: This is a preprint of a paper whose final and definite form is published in International Journal of Difference Equations ISSN 0973-6069, Vol. 9 (2014), no. 1, 87--10