Our study of abstract quasi-linear parabolic problems in time-weighted Lp-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity. The results are applied to reactiondiffusion problems, including Maxwell-Stefan diffusion, and to geometric evolution equations like the surface-diffusion flow or the Willmore flow. The method pres...

We consider an extension of the mean inactivity time based on a non-negative weight function. show various properties new notion, and relate it to functions interest in reliability theory information measures, such as dynamic cumulative entropy, past varentropy, weighted entropy. Moreover, comparison times, we introduce study stochastic order compare with other suitable orders. also discuss som...

A number of techniques allow imaging of the cerebral blood flow (CBF). Flow-sensitive time-of –flight (TOF) magnetic resonance imaging (MRI) demonstrates good representation of the flow but the extracranial hemodynamics could be assessed by color duplex ultrasound of the carotid arteries. Computerized tomography (CT), Xenon enhanced or CT perfusion with iodinated contrast, singlephoton emission...

Images consist of structures of varying scales: large scale structures such as flat regions, and small scale structures such as noise, textures, and rapidly oscillatory patterns. In the hierarchical (BV, L(2)) image decomposition, Tadmor, et al. (2004) start with extracting coarse scale structures from a given image, and successively extract finer structures from the residuals in each step of t...

this paper presents a new mathematical model for a bi-objective job shop scheduling problem with sequence-dependent setup times that minimizes the weighted mean completion time and the weighted mean tardiness time. for solving this multi-objective model, we develop a fuzzy multi-objective linear programming (fmolp) model. in this problem, a proposed fmolp method is applied with respect to the o...

flows over time: A first step towards solving dynamic packing problems Jan-Philipp W. Kappmeier, Jannik Matuschke, and Britta Peis TU Berlin, Institut für Mathematik, Straße des 17. Juni 136, 10623 Berlin, Germany {kappmeier,matuschke,peis}@math.tu-berlin.de Preprint 001-2012 (revised version) November 12, 2012 Abstract. Flows over time [4] generalize classical network flows by introducing a no...

Job scheduling is concerned with the optimal allocation of scare resources with objective of optimising one or several criteria. Job scheduling has been a fruitful area of research for many decades in which scheduling resolve both allocation of machines and order of processing. If the jobs are scheduled properly, not only the time is saved but also efficiency of system is increased. The paralle...

BACKGROUND AND PURPOSE The heterogeneity of microvascular flows is known to be an important determinant of the efficacy of oxygen delivery to tissue. Studies in animals have demonstrated decreased flow heterogeneity (FH) in states of decreased perfusion pressure. The purpose of the present study was to assess microvascular FH changes in acute stroke with use of a novel perfusion-weighted MRI te...

We present a novel model for due date quotation. Jobs arrive at a single server or m-machine flow shop over time. Upon arrival, the processing times on each machine of the job are known, and due dates must be quoted for each job. The jobs are sequenced on the machines without preemption. Associated with each job, there are three measures of disadvantages to the inventory cost and the service le...