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Keyword: Competitive (6)	31 Mar 2025	Run

articleNo Access
GENETIC ALGORITHM SOLUTION FOR MULTI-PERIOD TWO-ECHELON INTEGRATED COMPETITIVE/UNCOMPETITIVE FACILITY LOCATION PROBLEM
- XUE-FENG WANG,
- XIAO-MING SUN, and
- YANG FANG
Asia-Pacific Journal of Operational Research01 Feb 2008
Preview Abstract
This paper addresses the multi-period two-echelon integrated competitive/uncompetitive facility location problem in a distribution system design that involves locating regional distribution centers (RDCs) and stores, and determining the best strategy for distributing the commodities from a central distribution center (CDC) to RDCs and from RDCs to stores. The goal is to determine the optimal numbers, locations and capacities of RDCs and stores so as to maximize the total profit of the distribution system. Unlike most of past research, our study allows for dynamic planning horizon, distribution of commodities, configuration of two-echelon facilities, availability of capital for investment, external market competition, customer choice behavior and storage limitation. This problem is formulated as a bi-level programming model and a mutually consistent programming mode, respectively. Since such a distribution system design problem belongs to a class of NP-hard problem, a genetic algorithm-based heuristic (GA) is presented and compared with random search solution and mutually consistent solution (MC) using numerical example. The computational results show that the GA approach is efficient and the values of the performance index were significantly improved relative to the MC.
articleNo Access
INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE
- M. R. S. KULENOVIĆ and
- ORLANDO MERINO
International Journal of Bifurcation and Chaos01 Aug 2010
Preview Abstract
Let T be a competitive map on a rectangular region , and assume T is C¹ in a neighborhood of a fixed point . The main results of this paper give conditions on T that guarantee the existence of an invariant curve emanating from when both eigenvalues of the Jacobian of T at are nonzero and at least one of them has absolute value less than one, and establish that is an increasing curve that separates into invariant regions. The results apply to many hyperbolic and nonhyperbolic cases, and can be effectively used to determine basins of attraction of fixed points of competitive maps, or equivalently, of equilibria of competitive systems of difference equations. These results, known in hyperbolic case, have been used to determine the basins of attraction of hyperbolic equilibrium points and to establish certain global bifurcation results when switching from competitive coexistence to competitive exclusion. The emphasis in applications in this paper is on planar systems of difference equations with nonhyperbolic equilibria, where we establish a precise description of the basins of attraction of finite or infinite number of equilibrium points.
articleNo Access
Feature — Competitive Positioning Strategies for Australia Biotech Companies: A Road Map to Achieve Competitive Position in the Global Biotech Marketplace Part I
- K Balaji
Asia-Pacific Biotech News09 Jun 2003
Preview Abstract
Australia’s focus on biotechnology began in the 1990s, although this industry has been active in the country since the 1970s. Australia’s traditional strengths in medical and agricultural research have helped the country to move up the global biotech value-chain in a very short time. The Australian economy is relatively small compared to other biotech behemoths such as the United States and Japan and the government has realized the importance of innovation through industries such as biotechnology to boost the economy. This has translated into generous research funding and a favorable policy atmosphere for the industry, which in turn has grown steadily.
The following White Paper builds a global, regional, and country perspective on the biotechnology industry and analyzes the competitive position of Australian biotech companies. The White Paper also elucidates key strategies for Australian biotech companies for achieving sustainable growth.
articleNo Access
Coupled and uncoupled sign-changing spikes of singularly perturbed elliptic systems
- Mónica Clapp and
- Mayra Soares
Communications in Contemporary Mathematics14 Sep 2022
Preview Abstract
We study the existence and asymptotic behavior of solutions having positive and sign-changing components to the singularly perturbed system of elliptic equations
$\{\begin{matrix} - 𝜀^{2} Δ u_{i} + u_{i} = μ_{i} | u_{i} |^{p - 2} u_{i} + \sum_{\begin{array}{c} j = 1 \\ j \neq i \end{array}}^{ℓ} λ_{i j} β_{i j} | u_{j} |^{α_{i j}} | u_{i} |^{β_{i j} - 2} u_{i}, \\ u_{i} \in H_{0}^{1} (ø), u_{i} \neq 0, i = 1, \dots, ℓ \end{matrix}$ $\{\begin{matrix} - 𝜀^{2} Δ u_{i} + u_{i} = μ_{i} | u_{i} |^{p - 2} u_{i} + \sum_{\begin{array}{c} j = 1 \\ j \neq i \end{array}}^{ℓ} λ_{i j} β_{i j} | u_{j} |^{α_{i j}} | u_{i} |^{β_{i j} - 2} u_{i}, \\ u_{i} \in H_{0}^{1} (ø), u_{i} \neq 0, i = 1, \dots, ℓ \end{matrix}$
in a bounded domain $ø$ $ø$ in $ℝ^{N}$ $ℝ^{N}$ , with $N \geq 4$ $N \geq 4$ , $𝜀 > 0$ $𝜀 > 0$ , $μ_{i} > 0$ $μ_{i} > 0$ , $λ_{i j} = λ_{j i} < 0$ $λ_{i j} = λ_{j i} < 0$ , $α_{i j}, β_{i j} > 1$ $α_{i j}, β_{i j} > 1$ , $α_{i j} = β_{j i}$ $α_{i j} = β_{j i}$ , $α_{i j} + β_{i j} = p \in (2, 2^{*})$ $α_{i j} + β_{i j} = p \in (2, 2^{*})$ and $2^{*} : = \frac{2 N}{N - 2}$ $2^{*} : = \frac{2 N}{N - 2}$ . If $ø$ $ø$ is the unit ball we obtain solutions with a prescribed combination of positive and nonradial sign-changing components exhibiting two different types of asymptotic behavior as $𝜀 \to 0$ $𝜀 \to 0$ : solutions whose limit profile is a rescaling of a solution with positive and nonradial sign-changing components of the limit system
$\{\begin{matrix} - Δ u_{i} + u_{i} = μ_{i} | u_{i} |^{p - 2} u_{i} + \sum_{\begin{array}{c} j = 1 \\ j \neq i \end{array}}^{ℓ} λ_{i j} β_{i j} | u_{j} |^{α_{i j}} | u_{i} |^{β_{i j} - 2} u_{i}, \\ u_{i} \in H^{1} (ℝ^{N}), u_{i} \neq 0, i = 1, \dots, ℓ \end{matrix}$ $\{\begin{matrix} - Δ u_{i} + u_{i} = μ_{i} | u_{i} |^{p - 2} u_{i} + \sum_{\begin{array}{c} j = 1 \\ j \neq i \end{array}}^{ℓ} λ_{i j} β_{i j} | u_{j} |^{α_{i j}} | u_{i} |^{β_{i j} - 2} u_{i}, \\ u_{i} \in H^{1} (ℝ^{N}), u_{i} \neq 0, i = 1, \dots, ℓ \end{matrix}$
and solutions whose limit profile is a solution of the uncoupled system, i.e. after rescaling and translation, the limit profile of the $i$ $i$ th component is a positive or a nonradial sign-changing solution to the equation
$- Δ u + u = μ_{i} | u |^{p - 2} u, u \in H^{1} (ℝ^{N}), u \neq 0 .$ $- Δ u + u = μ_{i} | u |^{p - 2} u, u \in H^{1} (ℝ^{N}), u \neq 0 .$
chapterNo Access
Chapter 10: Coupling of Competitive Sorption and Membrane Separation for Autonomous Remediation of Radionuclide-Contaminated Areas
- E. V. Polyakov,
- A. A. Ioshin, and
- I. V. Volkov
Radionuclide Uptake in Food and Consequences for Humans01 Feb 2025
Preview Abstract
The chapter outlines the main provisions of the proposed model of competitive sorption of a microelement by a sorbent placed in a suspension of contaminated material. The simulation results were used to create a new sorption technique for cleaning radioactively contaminated material, in which competitive partitioning of microelements between material suspension and a selective sorbent is coupled with membrane separation of the contaminated material and sorbent. The above coupling is realized in the construction of a minireactor (MR), which consists of a closed container made of a semi-permeable membrane material, inside which there is a suspension of the adsorbent. As an example, the results of an experimental study of the statics and kinetics of material purification from trace amounts of Cs(I) ions pre-sorbed by the material are presented. Silica gel and soil samples in the form of an aqueous suspension were taken as materials contaminated with cesium ions. It was found that the limiting stage of sorption mass transfer of cesium ions from the material to the sorbent (particles of the suspension of Prussian blue, PB, separated from the suspension of the material by the wall of the membrane MR) is diffusion inside the pores of the membrane. The distribution of Cs(I) ions between the material, the aqueous solution, and the sorbent is determined using the difference in the chemical potentials of cesium ions in the material and the sorbent. It is found that the flow of Cs(I) ions from the suspension of the material inside the MR can be regulated by changing the pore diameter of the membrane, the size of the membrane surface of the MR, and the composition of the solution, including pH and the concentration of humic acids. The construction of the membrane MR allows its simple mechanical separation from suspensions. By using this property, it is shown that the ratio between the equilibrium concentrations of Cs(I) ions in an aqueous solution and in each of the solid phases represented by the material and the competing sorbent is additive in nature and can be described by the sum of two Langmuir isotherms for the material (silica gel, the soil reference sample, SRS) and for the sorbent (PB). In conclusion, the methods of controlling the mass transfer of sorbed ions inside a MR with a sorbent and the possibility of scaling up the technique of sorption purification of materials using sorbent-filled MRs as part of future technologies for directed and autonomous remediation of radioactively contaminated areas are discussed.
chapterNo Access
COMPETITIVE STRATEGIES FOR AUTONOMOUS SYSTEMS
- CHRISTIAN ICKING and
- ROLF KLEIN
Modelling and Planning for Sensor Based Intelligent Robot Systems01 Oct 1995
Preview Abstract
A strategy for working with incomplete information is called competitive if it solves each problem instance at a cost not exceeding the cost of an optimal solution (with full information available), times a constant. This paper strives to demonstrate why competitive strategies are useful for the design of autonomous robots. They guarantee a good worst-case behaviour, they are easy to implement, and they allow to deal with some problems whose optimal solution would be NP-hard. We survey competitive strategies for the following problems. How to find a door in a long wall, how to find a goal in an unknown environment, how to find a point from which an unknown environment is fully visible, and how to determine a robot's location on a known map from local visibility.