A faculty-course-time slot assignment problem is studied. The multiobjective 0-1 linear programming model considering both the administration’s and instructors’ preferences is developed and a demonstrative example is included. Both modeling and solving such problems are difficult tasks due to the size, the varied nature, and conflicting objectives of the problems. The difficulty increases becau...

Spontaneous scalarization is a gravitational phenomenon in which deviations from general relativity arise once certain threshold curvature exceeded, while being entirely absent below that threshold. For black holes, known to be triggered by coupling between scalar and the Gauss-Bonnet invariant. A with Ricci scalar, can trigger neutron stars, instead not contribute onset of hole scalarization, ...

In this article a part of the context sections has errors due to an incomplete revision for which authors much apologize.

Abstract Given a vector optimization problem over spaces endowed with topological linear structure, existence results for optima (efficient points) are known. Relying only on the set of properly efficient points from convex is proved to be nonempty and sets Proper Pareto coincide, provided that internal picked corresponding cone nonempty. This result appealing since scalarization valid without ...

In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C, but not necessarily of class C.

We present new necessary optimality conditions for εe–Pareto optimal solutions of constrained vector optimization problems with empty interior ordering cones. We use the dual-space approach based on advanced tools of variational analysis and generalized differentiation. It allows us not implement any scalarization technique while be able to establish necessary results for nonconvex and nonsolid...

Abstract. Construction of complex array operations by composition of more basic ones allows for abstract and concise specifications of algorithms. Unfortunately, näıve compilation of such specifications leads to creation of many temporary arrays at runtime and, consequently, to poor performance characteristics. This paper elaborates on a new compiler optimization, named withloop-scalarization, ...

A decade ago, it was shown that a wide class of scalar-tensor theories can pass very restrictive weak field tests of gravity and yet exhibit non-perturbative strong field deviations away from General Relativity. This phenomenon was called ‘Spontaneous Scalarization’ and causes the (Einstein frame) scalar field inside a neutron star to rapidly become inhomogeneous once the star’s mass increases ...

It was recently shown that a scalar field suitably coupled to the Gauss-Bonnet invariant $\mathcal{G}$ can undergo spin-induced linear tachyonic instability near Kerr black hole. This appears only once dimensionless spin $j$ is sufficiently large, is, $j\ensuremath{\gtrsim}0.5$. A hallmark of spontaneous scalarization. Focusing, for illustrative purposes, on class theories do exhibit this insta...

Traffic network equilibrium problems with capacity constraints of arcs are studied. A weak vector equilibrium principle with vector-valued cost functions, which are different from the ones in the work of Lin 2010 , and three kinds of parametric equilibrium flows are introduced. Some necessary and sufficient conditions for a weak vector equilibrium flow to be a parametric equilibrium flow are de...