In this paper, we consider the mobility effect with a jointly optimal design of cross-layer congestion control, routing and scheduling for ad-hoc networks. We first formulate the rate constraint and scheduling constraint. In this way, we use multi-commodity flow variables. Then formulate resource allocation in networks with fixed wireless channel and single-rate devices. Because of entrance of ...

We present a branch-and-cut algorithm to solve capacitated network design problems. Given a capacitated network and point-to-point traac demands, the objective is to install more capacity on the edges of the network and route traac simultaneously, so that the overall cost is minimized. We study a mixed-integer programming formulation of the problem and identify some new facet deening inequaliti...

In this paper, an MILP formulation is proposed for the design of a reverse logistics network based on a warehouse location–allocation model, which optimizes, simultaneously, the forward and reverse networks. A single product model with unlimited capacity is first defined. Subsequently, the model is extended to a multi-product capacitated recovery network model, where capacity limitations and a ...

design of a logistics network in proper way provides a proper platform for efficient and effective supply chain management. this paper studies a multi-period, multi echelon and multi-product integrated forward-reverse logistics network under uncertainty. first, an efficient complex mixed-integer linear programming (milp) model by considering some real-world assumptions is developed for the inte...

Maximization of flow through the network has remained core issue in the field of optimization. In this paper a new advanced network problem is introduced, i.e., a multi-commodity network with a separator. This network consists of several sub-networks linked through a commodity separator. The objective is to maximize the flow of the commodity of interest from the commodity mixture at the output ...

The efficient design/redesign of the logistics network is essential for companies to maintain their competitive advantage. This paper presents a novel non-linear mixedinteger programming model for the multi-product capacitated location routing inventory problem (MPCLRIP), where a two-layer distribution system consisting of depots and customers was studied. The supply decisions such as location ...

In this article a capacitated transportation problem is considered which is formulated as a multi objective capacitated transportation problem with mixed constraints. To determine the optimum compromise solution of multi objective capacitated transportation problem (MOCTP) with mixed constraints a Fuzzy multi objective programming approach has been applied in which we use three different forms ...

Network expansion problems are a special class of multi-period network design in which arcs can be opened gradually different time periods but never closed. Motivated by practical applications, we focus on cases where demand between origin-destination pairs expands over discrete horizon. Arc opening decisions taken every period, and once an arc is it used throughout the remaining horizon to rou...