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Sharp summability for Monge transport density via interpolation

Luigi De Pascale, Aldo Pratelli (2004)

ESAIM: Control, Optimisation and Calculus of Variations

Using some results proved in De Pascale and Pratelli [Calc. Var. Partial Differ. Equ. 14 (2002) 249-274] (and De Pascale et al. [Bull. London Math. Soc. 36 (2004) 383-395]) and a suitable interpolation technique, we show that the transport density relative to an L p source is also an L p function for any 1 p + .

Sharp summability for Monge Transport density via Interpolation

Luigi De Pascale, Aldo Pratelli (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Using some results proved in De Pascale and Pratelli [Calc. Var. Partial Differ. Equ.14 (2002) 249-274] (and De Pascale et al. [Bull. London Math. Soc.36 (2004) 383-395]) and a suitable interpolation technique, we show that the transport density relative to an Lp source is also an Lp function for any 1 p + .

Signpost systems and spanning trees of graphs

Ladislav Nebeský (2006)

Czechoslovak Mathematical Journal

By a ternary system we mean an ordered pair ( W , R ) , where W is a finite nonempty set and R W × W × W . By a signpost system we mean a ternary system ( W , R ) satisfying the following conditions for all x , y , z W : if ( x , y , z ) R , then ( y , x , x ) R and ( y , x , z ) R ; if x y , then there exists t W such that ( x , t , y ) R . In this paper, a signpost system is used as a common description of a connected graph and a spanning tree of the graph. By a ct-pair we mean an ordered pair ( G , T ) , where G is a connected graph and T is a spanning tree of G . If ( G , T ) is a ct-pair, then by the guide to...

Simulated Annealing and Tabu Search for Discrete-Continuous Project Scheduling with Discounted Cash Flows

Grzegorz Waligóra (2014)

RAIRO - Operations Research - Recherche Opérationnelle

Discrete-continuous project scheduling problems with positive discounted cash flows and the maximization of the NPV are considered. We deal with a class of these problems with an arbitrary number of discrete resources and one continuous, renewable resource. Activities are nonpreemptable, and the processing rate of an activity is a continuous, increasing function of the amount of the continuous resource allotted to the activity at a time. Three common payment models – Lump Sum Payment, Payments at...

Simultaneous routing and flow rate optimization in energy-aware computer networks

Przemysław Jaskóła, Piotr Arabas, Andrzej Karbowski (2016)

International Journal of Applied Mathematics and Computer Science

The issue of energy-aware traffic engineering has become prominent in telecommunications industry in the last years. This paper presents a two-criteria network optimization problem, in which routing and bandwidth allocation are determined jointly, so as to minimize the amount of energy consumed by a telecommunication infrastructure and to satisfy given demands represented by a traffic matrix. A scalarization of the criteria is proposed and the choice of model parameters is discussed in detail. The...

Single machine preemptive scheduling to minimize the weighted number of late jobs with deadlines and nested release/due date intervals

Valery S. Gordon, F. Werner, O. A. Yanushkevich (2001)

RAIRO - Operations Research - Recherche Opérationnelle

This paper is devoted to the following version of the single machine preemptive scheduling problem of minimizing the weighted number of late jobs. A processing time, a release date, a due date and a weight of each job are given. Certain jobs are specified to be completed in time, i.e., their due dates are assigned to be deadlines, while the other jobs are allowed to be completed after their due dates. The release/due date intervals are nested, i.e., no two of them overlap (either they have at most...

Single Machine Preemptive Scheduling to Minimize the Weighted Number of Late Jobs with Deadlines and Nested Release/Due Date Intervals

Valery S. Gordon, F. Werner, O. A. Yanushkevich (2010)

RAIRO - Operations Research

This paper is devoted to the following version of the single machine preemptive scheduling problem of minimizing the weighted number of late jobs. A processing time, a release date, a due date and a weight of each job are given. Certain jobs are specified to be completed in time, i.e., their due dates are assigned to be deadlines, while the other jobs are allowed to be completed after their due dates. The release/due date intervals are nested, i.e., no two of them overlap (either they have...

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