Comments on “A bicriteria flowshop scheduling problem with setup times”

The aim of this paper is to point out that the integer programming model proposed by Eren and Güner [T. Eren, E. Güner, A bicriteria flowshop scheduling problem with setup times, Appl. Math. Comput. 183 (2006) 1292-1300] is incorrect. We propose a new integer programming model for the same scheduling problem based on their model.     

The antipode of a quasitriangular quasi-Turaev group coalgebra is bijective

In order to construct a class of new Turaev-braided group category with nontrivial associativity, the concept of a quasitriangular quasi-Turaev group coalgebras was recently introduced. Inside the definition, the conditions of invertibility of the R-matrix R and bijectivity of the antipode S are required. In this article, we prove that the antipode of a quasitriangular quasi-Turaev group coalgebra without the assumptions about invertibility of the antipode and R-matrix is inner, and a fortiori, bijective. As an application, we prove that for a quasitriangular quasi-Turaev group coalgebra, two conditions mentioned above are unnecessary.     

On a Problem of Potentially Pancyclic-graphic Sequences Due to S.B. Rao

Acta Mathematicae Applicatae Sinica, English Series - A non-increasing sequence π = (d1, d2,..., dn) of nonnegative integers is said to be potentially hamiltonian-graphic (resp. potentially...     

A bias-compensated fractional order normalized least mean square algorithm with noisy inputs

Numerical Algorithms - This paper comes up with a stable bias-compensated fractional order normalized least mean square (BC-FONLMS) algorithm with noisy inputs. This kind of bias-compensated...     

Global weak solutions for a periodic two-component?μ-Hunter–Saxton system

This paper is concerned with global existence of weak solutions for a periodic two-component?μ-Hunter–Saxton system. We first derive global existence for strong solutions to the system with smooth approximate initial data. Then, we show that the limit of approximate solutions is a global weak solution of the two-component?μ-Hunter–Saxton system.     

Existence of solutions for the p-Laplacian with critical Sobolev exponent and convection

In this article, we study the existence of solutions for the p-Laplacian involving critical Sobolev exponent and convection based on the theory of the Leray–Schauder degree for non-compact mappings.     

The Multivariate Partially Linear EV Model with B-spline

A multivariate partially linear EV model isconsidered in this paper. By correcting the attenuation, a modifiedB-spline least squares estimator for both the parametric and thenonparametric components is proposed. Moreover, we investigate theasymptotical normality of the modified estimator of the parametriccomponents and the convergence rate of the estimator of thenonparametric function.