Axis 2: Decision support made in complex systems
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In One-to-Many-to-One Single Vehicle Pickup and Delivery Problems a vehicle based at the depot must make deliveries and pickups at customers locations befor...
BibTeX referenceR&D Equilibrium Strategies with Surfers
A typical assumption in the game-theoretic literature on research and development (R&D) is that all firms belonging to the industry under investigation purs...
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A set of vertices <i>S</i> in a graph <i>G</i> is independent if no neighbor of a vertex of <i>S</i> belongs to <i>S</i>. A set of vertices <i>U</i> in a gr...
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In modern transportation systems, the potential for further decreasing the costs of fulfilling customer requests is severely limited while market competitio...
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This paper presents two new results on the enumeration of all extreme equilibria of the sequence form of a two person extensive game. The sequential form of...
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The AutoGraphiX 2 system is used to compare the index of a graph <i>G</i> with a number of other graph theoretical invariants, i.e., chromatic number, maxim...
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Assouad has shown that a real-valued distance <i>d</i> = (<i>d</i><sub><i>ij</i></sub>) <sub>1 ≤ <i>i</i> < <i>j</i> ≤ <i>n</i></sub> is isome...
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We characterize in this paper the credibility of linear-incentive equilibrium strategies for the class of linear-quadratic differential games. This class is...
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The <i>Dial-a-Ride Problem</i> (DARP) consists of designing vehicle routes and schedules for <i>n</i> users who specify pickup and delivery requests between...
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We modify a model of climate and economy to address the effects of the reduction in atmospheric pollutants which occurs as a result of climate change mitiga...
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In this paper, the general problem of chemical process optimization defined by a computer simulation is formulated. It is generally a nonlinear, non-convex,...
BibTeX referenceIsoperimetric Polygons of Maximal Width
The value <img src="/cgi-bin/mimetex.cgi?\frac{1}{2n} \cot\left( \frac{\pi}{2n}\right)"> is shown to be an upper bound on the width of any <i>n</i>-sided p...
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In one-to-one <i>Pickup and Delivery Problems</i> (PDPs), the aim is to design a set of least cost vehicle routes starting and ending at a common depot in o...
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We consider a marketing channel where a retailer sells, along the manufacturer’s brand, her own private label. We assume that each player invests in adverti...
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A set of vertices <i>S</i> in a graph <i>G</i> is independent if no neighbor of a vertex of <i>S</i> belongs to <i>S</i>. The independence number &alpha is ...
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Given a set of timetabled tasks, the multi-depot vehicle scheduling problem is a wellknown problem that consists of determining least-cost schedules for veh...
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From the pentagon onwards, the area of the regular convex polygon with <i>n</i> sides and unit diameter is greater for each odd number <i>n</i> than for the...
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We consider four conjectures related to the largest eigenvalue of (the adjacency matrix of) a graph (i.e., to the index of the graph). Three of them have be...
BibTeX referenceVariable Neighborhood Search for Extremal Graphs. 23. On the Randic Index and the Chromatic Number
Let <img src="/cgi-bin/mimetex.cgi?G=(V,E)"> be a simple graph with vertex degrees <img src="/cgi-bin/mimetex.cgi?d1, d2, \ldots, d_n...
BibTeX referenceDevelopments in Differential Game Theory and Numerical Methods: Economic and Management Applications
This paper argues that the literature applying differential games in economics and management science has aimed to a large extent for analytical results. On...
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