Jacobi Transform of (Ν,Γ,P)-Jacobi–Lipschitz Functions in the Space Lp(R+,Δ(Α,Β)(T)Dt)

Using a generalized translation operator, we obtain an analog of Younis' theorem [Theorem 5.2, Younis M.S. Fourier transforms of Dini–Lipschitz functions, Int. J. Math. Math. Sci., 1986] for the Jacobi transform for functions from the (ν,γ,p)-Jacobi–Lipschitz class in the space Lp(R+,Δ(α,β)(t)dt).Dedicated to Professor Radouan Daher for his 61’s birthday.The authors would like to thank the referee for his valuable comments and suggestions

A polyhedral approach to the single row facility layout problem

The Single Row Facility Layout Problem (SRFLP) is the NP-hard problem of arranging facilities on a line, while minimizing a weighted sum of the distances between facility pairs. In this paper, a detailed polyhedral study of the SRFLP is performed, and several huge classes of valid and facet-inducing inequalities are derived. Some separation heuristics are presented, along with a primal heuristic based on multidimensional scaling. Finally, a branch-and-cut algorithm is described and some encouraging computational results are given