The Roman domination problem is considered. An improvement of two existing Integer Linear Programing (ILP) formulations is proposed and a comparison between the old and new ones is given. Correctness proofs show that improved linear programing formulations are equivalent to the existing ones regardless of the variables relaxation and usage of lesser number of constraints.

We describe an implementation of nonsymmetric interior-point methods for linear cone programs defined by two types of matrix cones: the cone of positive semidefinite matrices with a given chordal sparsity pattern and its dual cone, the cone of chordal sparse matrices that have a positive semidefinite completion. The implementation takes advantage of fast recursive algorithms for evaluating the ...

Appropriate scheduling and sequencing of tasks on machines is one of the basic and significant problems that a shop or a factory manager encounters with it, this is why in recent decades extensive researches have been done on scheduling issues. A type of scheduling problems is just-in-time (JIT) scheduling and in this area, motivated by JIT manufacturing, this study investigates a mathematical ...

This paper presents the one-dimensional unsteady mathematical model of a natural convection loop. The flow inside all thermohydraulic circuit components is described by conservation laws mass, momentum and energy. governing equations are completed an ideal gas equation state. resulting nonlinear system partial differential was linearized discretized in time space. Fully-implicit formulation lea...

Graph theory is a well-established mathematical concept that widely used in numerous applications such as biology, chemistry and network analysis. The advancement the of graph has led to development called autocatalytic set. In this paper, modeling technique namely graph-based dynamic palm oil refining process introduced. system parameters are identified detail beginning paper. involved chemica...

Park and ride (P&R) facilities provide intermodal transfer between private vehicles public transportation systems to alleviate urban congestion. This study developed a mathematical programming formulation for determining P&R facility locations. A recently Weibit-based model was adopted represent the traveler choice behavior with heterogeneity. The model’s independence of irrelevant alte...

i Acknowledgements iii

It is now generally accepted that the 'central genome dogma' (i.e. a causal chain going from DNA to RNA to proteins and downstream to biological functions) should be replaced by the 'fluid genome dogma', that is, complex feed-forward and feed-back cycles that interconnect organism and environment by epigenomic programing - and reprograming - throughout life and at all levels, sometimes also dow...

C. A. R. Hoare, N. Wirth, E. W. Dijkstra, and some others active in structured programing have described and tacitly recommended a hierarchical accessibility of passed data in structured programing (see for example, References 11 and 26). This fits well, they and others indicate, with both the theory and the practice of structured programing (see for example, References 15, 18, 19, and 25). Thi...