Smart logistics (schedule design, supply chains, logistics, manufacturing systems)
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Developments 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...
BibTeX referenceA Review and Comparative Analysis of Several Asymmetric Travelling Salesman Problem Formulations
In this survey, a classification of twenty-seven Asymmetric Traveling Salesman Problem (ATSP) formulations is presented. The strength of their LP relaxation...
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The vehicle routing problem with time windows consists of delivering goods at minimum cost to a set of customers using an unlimited number of capacitated ve...
BibTeX referenceComparing the Zagreb Indices
Let <img src="/cgi-bin/mimetex.cgi?G=(V,E)"> be a simple graph with <img src="/cgi-bin/mimetex.cgi?n=|V|"> vertices and <img src="/cgi-bin/...
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Given a simple connected graph <i>G = (V,E)</i> the geodetic closure <i>I [S]</i> <img src="/cgi-bin/mimetex.cgi?\subset"> <i>V</i> of a subset <i>S</i...
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This paper considers the swapping problem on a tree. In this problem at most one object of some type is available at each vertex, and each vertex also reque...
BibTeX referenceOn Myopia in a Dynamic Marketing Channel
We consider a dynamic marketing channel involving one manufacturer and one retailer. The strategic variables of the former are the wholesale price and the a...
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The AutoGraphiX research program led to a new type of application of metaheuristics in graph theory, <i>i.e.</i>, finding conjectures on graph invariants by...
BibTeX referenceVariable Neighborhood Search for Extremal Graphs. 18. Conjectures and Results about the Randic Index
Using the AutoGraphiX 2 system (AGX2), we study relations between graph invariants of the form <img src="/cgi-bin/mimetex.cgi?lbn \leq R \oplus i \leq ub...
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Colour image quantization is a data compression technique that reduces the total set of colours in an image to a representative subset. This problem is expr...
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This paper shows that the important result obtained in a static marketing channel, namely, that the manufacturer can coordinate the channel through a two-pa...
BibTeX referenceCompetitive Emailing
<p> We consider an infinite-horizon differential game played by two direct marketers. Each player controls the number of emails sent to potential customers...
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In this paper, we consider scheduling problems on a single machine in a sequence dependent setup environment. We introduce for these problems several integer...
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This paper considers large shift scheduling problems with different shift start times and lengths, fractionable breaks and work stretch duration restrictions...
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We address a multi-objective version of the car sequencing problem, which consists in sequencing a given set of cars to be produced in a single day, minimizi...
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We consider the problem of locating a circle with respect to existing facilities on the plane, such that the largest weighted distance between the circle and...
BibTeX referenceDynamic Scheduling for Two Service Activities: Vehicle Repair and Maintenance and Dental Services
The objective of the project is to provide dynamic scheduling solutions to two different services, automobile dealerships and dental clinics, in order to hel...
BibTeX referenceOn a Conjecture About the Randic Index
A conjecture of Delorme, Favaron and Rautenbach [DM 257 (2002) 29-38] about the Randic index of a graph, in relation to its order and minimum degree, is ref...
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<p>Le système <i>AutoGraphiX (AGX1 et AGX2)</i> permet, parmi d’autres fonctions, la génération automatique de conjectures en théorie des graphes. Nous étud...
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<p>Using the <i>AutoGraphiX 2</i> system, a systematic study is made on generation and proof of relations of the form</p> <center> $\underline{b}_n \leq ...
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