The current work aims to investigate the M/M/2 heterogeneous server retrial queueing system with breakdown and repair, considering discouragement of customers. An arriving customer will enter service facility check for availability servers. On finding either servers free, avail at available server. If both are busy upon arrival, then into orbit or leave without joining facility. customers await...

The objective of the study in this paper is to define M₁,M₂-direction curves and M₁,M₂-donor curves of the spacelike curve γ via the Bishop frame of type-2 in E₁³. We obtained the necessary and sufficient conditions when the associated curves to be slant helices and general helices via the Bishop frame of type-2 in E₁³. After defining the spherical indicatrices of the associated curves, we obta...