As one of the most common types networks, transshipment networks face certain risks in their daily operations. This risk either stems from a deliberate intervention process or an unpredictable natural effect. The owner network normally aims to minimize total cost transportation, while rival opponent might attempt intervene and cause increase costs. Unpredictable setbacks, on other hand, can als...

The partial calmness for the bilevel programming problem (BLPP) is an important condition which ensures that a local optimal solution of BLPP partially penalized where lower-level optimality constraint moved to objective function and hence weaker qualification can be applied. In this paper, we propose sufficient in form error bound guarantees condition. We analyze combined program based on Boul...

The emerging edge computing (EC) paradigm promises to provide low latency and ubiquitous computation numerous mobile Internet of Things (IoT) devices at the network edge. How efficiently allocate geographically distributed heterogeneous resources a variety services is challenging task. While this problem has been studied extensively in recent years, most previous work largely ignored preference...

Abstract This article studies Gauss–Newton-type methods for over-determined systems to find solutions bilevel programming problems. To proceed, we use the lower-level value function reformulation of programs and consider necessary optimality conditions under appropriate assumptions. First, strict complementarity upper- feasibility constraints, prove convergence a method in computing points sati...

In this paper we use bilevel programming to find the maximum difference between a model predictive controller (MPC) using a full model and an MPC using a reduced model. The results apply to MPC with quadratic cost function and linear model with linear constraints.

A combined neural network and tabu search hybrid algorithm is proposed for solving the bilevel programming problem. To illustrate the approach, two numerical examples are solved and the results are compared with those in the literature. c © 2006 Elsevier Ltd. All rights reserved.

This paper presents an overview of the research progress in deterministic global optimization during the last decade (1998–2008). It covers the areas of twice continuously differentiable nonlinear optimization, mixed-integer nonlinear optimization, optimization with differential-algebraic models, semi-infinite programming, optimization with grey box/nonfactorable models, and bilevel nonlinear o...

In this work we consider the following hazmat transportation network design problem. A given set of hazmat shipments has to be shipped over a road transportation network in order to transport a given amount of hazardous materials from specific origin points to specific destination points, and we assume there are regional and local government authorities that want to regulate the hazmat transpor...