A slack-based feasible interior point method is described which can be derived as a modification of infeasible methods. The modification is minor for most line search methods, but trust region methods require special attention. It is shown how the Cauchy point, which is often computed in trust region methods, must be modified so that the feasible method is effective for problems containing both...

Abstract China’s commercial banks have developed at a very rapid speed in recent decades. However, with global economic development slowing down, the impact of gross domestic product growth as an exogenous factor cannot be ignored. Most existing studies only consider internal factors banks, and neglect their external factors. This study thus adopts undesirable dynamic slacks-based measure under...

In this paper, we consider the canonical sporadic task model with the system-wide energy management problem. Our solution uses a generalized power model, in which the static power and the dynamic power are considered. We present a static solution to schedule the sporadic task set, assuming worstcase execution time for each sporadic tasks release, and propose a dynamic solution to reclaim the sl...

We consider the problem of allocating m infinitely divisible commodities among agents with single-peaked preferences. We propose a variation on the Mas–Colell’s Walrasian solution with slacks to characterize the efficient allocations. Our solution allows us to associate with each efficient allocation an income redistribution. We prove that the original solution proposed by Mas–Colell is the eff...