This paper develops a model for the closed-loop supply chain network design with disruption risk. By considering supply disruption, two factors including extra inventory and lateral transshipment are used as resilience strategies. The main purpose is to reduce the supply chain costs due to the location decisions, quantity of products between different levels and lost sale. Disruption in a suppl...

In paper [1] a new robust decoupling state observer including an extra non-linear term has been proposed by Gu and Poon. This extra term is used to overcome the difficulty due to the unstructured parameter perturbation. It was highlighted that the nonlinear observer scheme requires the solution to a quadratic matrix inequality which is not straightforward. This inequality was rewritten as a qua...

Osteochondral fractures of the talus are uncommon. They are classified according to Berndt and Harty, as progressing in severity through four stages. This classification, however, does not address extra-articular extrusion of the osteochondral fragment. We report an osteochondral lesion of the talar dome which presented as an extruded extra-articular fragment in a closed injury of the ankle. Th...

We investigate a class of terminating 3ϕ2-series that comes from the balanced series perturbed by two extra integer parameters. By making use linearization method, general summation formula is established extends well-known q-Pfaff-Saalschütz theorem. Five closed formulae are exemplified as applications.

It is shown that the local coupling of a higher dimensional graviton to a closed degenerate two-form produces dimensional reduction by spontaneous breakdown of extra-dimensional translational symmetry. Four dimensional Poincaré invariance emerges as residual symmetry. As a specific example, a six dimensional geometry coupled to a closed rank 2 two-form yields the 'ground state' ds 2 = e −|ξ| 2 ...

the main purpose of this paper is to introduce and study new classes of soft closed sets like soft regular generalized b-closed sets in soft topological spaces (brie y soft rgb-closed set) moreover, soft rg-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, soft g-closed, soft gb-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and we investigat...

Interest in the surgical treatment of congenital atresia of the oesophagus was aroused in this country by the publication of Franklin's paper (1947) in which he reported two infants with oesophageal atresia and tracheo-oesophageal fistula successfully operated on by the extra-pleural approach. The fistula was closed and primary oesophageal anastomosis was performed. Franklin estimated the occur...