The traditional multi-commodity ow problem assumes a given ow network in which multiple commodities are to be maximally routed in response to given demands. This paper considers the multi-commodity ow network-design problem: given a set of multi-commodity ow demands, nd a network subject to certain constraints such that the commodities can be maximally routed. This paper focuses on the case whe...

This work deals with a multi-period capacitated location problem inspired by telecommunication access network planning problems, where demands and costs vary from one period to another. On each concentrator site, several capacitated concentrators can be installed at each period. Similarly, several capacitated modules can be installed at each period between each terminal and concentrator sites. ...

A single product maritime inventory routing problem is addressed in this paper by exploring the use of continuous and discrete time models. We first present a continuous time model based on time slots for single docks, which is enhanced by reformulating the time assignment constraints. Next, we present a model based on event points to handle parallel docks. A discrete time is also presented bas...

In this study, tactical decisions considering the material and financial flows in a supply chain have been made. To achieve these aims and some effective solutions, a multi-objective mathematical model proposed for an integrated supply chain master planning problem. The multi-product, multi-period and capacitated supply chain network has three objective functions. Two first objective functions ...

We study Network Maximum Congestion Games, a class of network games where players choose a path between two given nodes in order to minimize the congestion of the bottleneck (the most congested link) of their path. For single-commodity games, we provide an algorithm which computes a Pure Nash Equilibrium in polynomial time. If all players have the same weight, the obtained equilibrium has optim...

A variety of integer programming formulations have been proposed for Vehicle Routing Problems (VRPs), including the so-called twoand three-index formulations, the set partitioning formulation, and various formulations based on extra variables representing the flow of one or more commodities. Until now, there has not been a systematic study of how these formulations relate to each other. An exce...

In this study, we adopt the classic capacitated p-median location model for the solution of a network design problem, in the domain of electric charge station network design, for a leading company in Turkey. Our model encompasses the location preferences of the company managers as preference scores incorporated into the objective function. Our model also incorporates the capacity concerns of th...

We address the Multi Layer Hierarchical Ring Network Design Problem. The aim of this problem is to connect nodes that are assigned to different layers using a hierarchy of rings of bounded length. We present a multi-commodity flow based mixed integer linear programming formulation and experimentally evaluate it on various graphs. Instances up to 76 nodes and 281 edges could be solved to optimal...

this paper proposes a new mathematical model for designing and planning postal parcels carriage and postal networks. the objective of postal network designing is to determine the location, size and connection between the postal stations in a city, province or country. in this paper, a kind of multiple locations-allocations hub problem with limited capacity in collecting, distributing and broadc...