Mixed Integer Programming Formulation for the Energy-Efficient Train Timetables Problem

2017 ◽  
pp. 65-86
Author(s):  
Rodrigo Alexander Castro Campos ◽  
Sergio Luis Pérez Pérez ◽  
Gualberto Vazquez Casas ◽  
Francisco Javier Zaragoza Martínez
Keyword(s):  
Integer Programming ◽  
Mixed Integer Programming ◽  
Energy Efficient ◽  
Mixed Integer ◽  
Programming Formulation ◽  
Integer Programming Formulation

scholarly journals Solving the Quality of Service Multicast Tree Problem

2021 ◽  
Vol 33 (2) ◽  
pp. 163-172
Author(s):  
Claudio Enrique Risso-Montaldo ◽  
Franco Rafael Robledo-Amoza ◽  
Sergio Enrique Nesmachnow-Cánovas
Keyword(s):  
Quality Of Service ◽  
Integer Programming ◽  
Mixed Integer Programming ◽  
Multicast Tree ◽  
Mixed Integer ◽  
Programming Formulation ◽  
Integer Programming Formulation ◽  
Realistic Problem ◽  
Problem Instances

This article presents a flow-based mixed integer programming formulation for the Quality of Service Multicast Tree problem. This is a relevant problem related to nowadays telecommunication networksto distribute multimedia over cloud-based Internet systems. To the best of our knowledge, no previous mixed integer programming formulation was proposed for Quality of Service Multicast Tree Problem. Experimental evaluation is performed over a set of realistic problem instances from SteinLib, to prove that standard exact solvers can find solutions to real-world size instances. Exact method is applied for benchmarking the proposed formulations, finding optimal solutions and low feasible-to-optimal gaps in reasonable execution times.

A Novel Mixed Integer Programming Formulation for Selecting the Best Renewable Energies to Invest

2016 ◽  
Vol 7 (3) ◽  
pp. 1-22 ◽  
Author(s):  
Masoud Rabbani ◽  
Mahsa Ghanbarpour Mamaghani ◽  
Amir Farshbaf-Geranmayeh ◽  
Mahsa Mirzayi
Keyword(s):  
Integer Programming ◽  
Mixed Integer Programming ◽  
Renewable Energies ◽  
Mixed Integer ◽  
Programming Approach ◽  
Programming Formulation ◽  
Time Value Of Money ◽  
Integer Programming Formulation ◽  
Fuzzy Goal ◽  
The Given

The governments seeking to invest renewable energies for electrifying far spots and/or isolated islands are always confronted with the problem of selecting the best energy (portfolio of energies) technology. To reach the optimum decision, they must take into account a variety of criteria including technical, economic, environmental and social aspects at the same time. Therefore, the main objective of this study is to address the mentioned concern by developing a multi objective mixed integer programming formulation that not only takes into account the above criteria with a focus on tax, depreciation costs and time value of money, but also optimizes a set of objective functions simultaneously. Furthermore, to model the intrinsic uncertainty of some parameters like demand and budget, a fuzzy goal programming approach is applied. In order to demonstrate the applicability of the model, a numerical example, based on the data obtained from the literature, is developed. The results indicate that, for the given conditions, hydro and PV are superior to their counterparts.

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