OBJECTIVES To compare the Optimality Index of planned birth in a birth centre with planned birth in a hospital and planned home birth for low-risk term pregnant women who start labour under the responsibility of a community midwife. DESIGN Prospective cohort study. SETTING Low-risk pregnant women under care of a community midwife and living in a region with one of the 21 participating Dutch...

We prove a lemma on the optimal value function for the mdtiarmed bandit problem which provides a simple direct proof of optimality of writeoff policies. This, in turn, leads to a new proof of optimality of the index rule.

 We consider generalized semi-infinite programming problems in which the index set of the inequality constraints depends on the decision vector and all emerging functions are assumed to be convex. Considering a lower level constraint qualification, we derive a formula for estimating the subdifferential of the value function. Finally, we establish the Fritz-John necessary optimality con...

This paper presents a voltage stability constrained optimal power flow that is expressed via a bilevel programming framework. The inner objective function is dedicated for maximizing voltage stability margin while the outer objective function is focused on minimization of total production cost of thermal units. The original two stage problem is converted to a single level optimization problem v...

The multi-compartment vehicle routing problem with flexible compartment sizes is a variant of the classical in which customers demand different product types and capacity can be separated into compartments each dedicated to specific type. size not fixed beforehand but number limited. We consider two variants for dividing capacity: On one hand discretely divided on other continuously. objective ...

We address the problem of optimal scale-dependent parameter learning in total variation image denoising. Such problems are formulated as bilevel optimization instances with denoising lower-level constraints. For problem, we able to derive M-stationarity conditions, after characterizing corresponding Mordukhovich generalized normal cone and verifying suitable constraint qualification conditions....

background and aims. the correct relationship of the total mesiodistal width of the mandibular teeth to that of the maxillary teeth (bolton’s ratios) is among the main factors considered in obtaining an optimal occlusion. the present study was conducted to determining the bolton’s ratios before and after treatment in skeletal class i patients. materials and methods. in this descriptive analytic...

the total version of geometric–arithmetic index of graphs is introduced based on the endvertexdegrees of edges of their total graphs. in this paper, beside of computing the total gaindex for some graphs, its some properties especially lower and upper bounds are obtained.

A boundary control problem for infinite order parabolic system with time delay is considered. The performance index has non-standard form. Constraints on controls are imposed. To obtain the optimality conditions for the Dirichlet problem, the generalization of the Dubovitskii-Milyutin theorem was applied. Finally, several mathematical examples for derived optimality conditions are presented.