editorial mathematical modeling and optimization of industrial...

EditorialMathematical Modeling and Optimization ofIndustrial Problems

M. Montaz Ali,1 Aderemi O. Adewumi,2 Nachamada Blamah,2,3 and Olabisi Falowo4

1Centre for Systems and Engineering, Faculty of Engineering, University of the Witwatersrand, Johannesburg, South Africa2School of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Durban, South Africa3Department of Computer Science, University of Jos, Jos, Nigeria4Department of Electrical and Electronic Engineering, University of Cape Town, Cape Town, South Africa

Correspondence should be addressed to M. Montaz Ali; [email protected]

Received 11 December 2014; Accepted 11 December 2014

Copyright © 2015 M. Montaz Ali et al. This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Optimization plays an ever-increasing role in mathemat-ics, economics, engineering, health sciences, management,life sciences, and almost all other fields of study. Manyoptimization problems exist in the real world includingspace planning, networking, logistic management, financialplanning, and risk management. These problems are NP-hard in nature; hence, finding an optimal solution is oftendifficult, demanding highly efficient techniques. Many exactand heuristic algorithms have been proposed out of thesechallenging and practically relevant optimization problemsincluding those that draw inspiration from nature.

The aim of this special issue is to showcase howheuristics, operations research, computational intelligence,and other optimization techniques have been successfullyapplied to solve real-world industrial optimization problems.Researchers were invited to contribute original researchand review articles that explore, model, and solve real lifeoptimization problems in various fields. The special issueattracted many high quality papers of which few wereselected based on set quality criteria after rigorous peer-review, revision, and editorial processes. The published highquality papers cover various applications of optimizationto varying problems especially in the industries includingengineering, inventory, logistics, and marketing, scheduling,resource, and transportation planning, computing and ICT,water and gas resource management, and data mining. Mostpapers dwell on modeling of real-world industrial problems,innovative optimization technique for solving real-worldproblems including heuristics, finite methods, operation

research techniques, intelligent algorithms, and agent-basedmethods. Many of the papers propose innovative techniquesfor solving specified problem while others present improvedmethods compared with existing ones. Here, we present asummary of the published papers categorized according tothe problem domain addressed.

Engineering. Papers in the engineering domain cover interestsin electrical, mechanical, and building engineering. L. Huo etal. present an optimal design methodology for tuned liquidcolumn dampers (TLCDs) based on the 𝐻

∞control theory

using the Dalian Xinghai Financial Business Building as casestudy in their paper titled “TLCD Parametric Optimizationfor the Vibration Control of Building Structures Based onLinear Matrix Inequality.”

Y.-C. Park et al. present a “Lightweight Design of anOuter Tie Rod for an Electrical Vehicle” which was achievedthrough efficient material selection using finite elementanalysis and metamodel-based optimization technique inorder to minimize the weight while satisfying critical designrequirements. Furthermore, the paper “Hierarchical Agent-Based Integrated Modelling Approach for Microgrids withAdoption of EVs and HRES” by P. Han et al. addresses thechallenge to microgrid, brought about by the recent adoptionof electric vehicles and hybrid renewable energy systems, byproposing a hierarchical agent-based method which is usefulfor energy management, electricity consumption prediction,the EV scheduling control, and HRES deployment optimiza-tion. Finally in electrical, “Predictive Models of Current,

Hindawi Publishing CorporationJournal of Applied MathematicsVolume 2015, Article ID 438471, 3 pageshttp://dx.doi.org/10.1155/2015/438471

2 Journal of Applied Mathematics

Voltage, and Power Losses on Electric Transmission Lines”O. M. Bamigbola et al. formulated mathematical physicsexpressions that depict the evolution of current and voltageon a typical transmission line and derived models to predictavailable current and voltage at any point on the transmissionline.

In the paper “Partitioned Quasi-Newton Approximationfor Direct Collocation Methods and Its Application to theFuel-Optimal Control of a Diesel Engine,” J. Asprion et al.presented an efficient technique to resolve memory limita-tions, preserve the correct sparsity pattern, and generatemoreaccurate curvature information as it applies to engineeringproblems with special focus on fuel-optimal and emission-constrained control of a turbocharged diesel engine. “FiniteQueueing Modeling and Optimization: A Selected Review”by F. R. B. Cruz andT. vanWoensel is a comprehensive reviewof queueing modeling issues and related performance evalu-ation and optimization approaches for joint manufacturingand product engineering.

D. Xiao et al. in their paper “Quality Prediction andControl of Reducing Pipe Based on EOS-ELM-RPLS Mathe-maticsModelingMethod” present an algorithm to predict thequality of reducing pipe during the inspection of inhomoge-neous transverse and longitudinal wall thicknesses during theproduction of seamless steel. In “Three-Dimensional Tem-perature Distribution Produced by a Moving Laser Beam” R.Uyhan used a simplified theoretical model to study the three-dimensional unsteady temperature field produced bymovinglaser beam in an axisymmetric laser beam.

The Computing and ICT. The Computing and ICT groupsof papers dwell on computer graphics, multiprocessor com-puting, wireless communication, electronic fraud prevention,and robotics. X. Wang and C. Hou in the paper “ImprovedCrosstalk Reduction onMultiview 3D Display by Using BILSAlgorithm” present a system-introduced crosstalk measure-ment and derive an improved crosstalk reduction method toaddress the problem of crosstalk that degrades the qualityof the 3D image. Their improved method seeks an optimalsolution to this box-constrained integer least squares (BILS)problem that substantially decreases the Euclidean distancebetween a solution and its target. The paper “An EfficientBiobjective Heuristic for Scheduling Workflows on Hetero-geneous DVS-Enabled Processors” by P. Zhou and W. Zhengaddressed the problem of energy consumption, expressed interms of execution time of application, in multiprocessingcomputing. The authors proposed a heuristic that finds aschedule for a workflow, on a bounded number of heteroge-neous (dynamic voltage scaling) DVS-enabled processors, soas to minimize both makespan (overall execution time of theapplication) and energy consumption.

Furthermore, C. Han et al. in their paper, “Modelingand Model Predictive Power and Rate Control of WirelessCommunication Networks,” present a novel power and ratecontrol system model for wireless communication networksand proposed a delay-dependent model predictive powerand rate control method. The derived optimization modelis solved using linear matrix inequality (LMI) technique.Finally, A. A. Akinyelu and A. O. Adewumi in “Classification

of Phishing Email Using Random Forest Machine LearningTechnique” propose an efficient random forest technique forphishing email detection.

The paper “Robot Calibration for Cooperative Processunder Typical Installation” by Y. Gan et al. introduces simplebut efficient operation procedure and calibration conditionto solve the base frame calibration problem for coopera-tive robots which was validated on two practical industrialrobots. In “Track-to-Track Association Based on StructuralSimilarity in the Presence of Sensor Biases,” H. Zhu and S.Han address the problem of track-to-track association in thepresence of sensor biases by introducing the structural featurefor each local track, which describes the spatial relationshipwith its neighbouring targets.

Inventory, Logistics, and Marketing. There are five papers inthe inventory control, logistics, and marketing applications.The paper titled “Intelligent Inventory Control via Rumina-tive Reinforcement Learning” by T. Katanyukul and E. K. P.Chong proposed a new ruminative reinforcement learning(RRL) method for inventory management with promisingresults. Similarly, the challenge of trim loss and inventory inpaper industry was addressed by F.-K. Wang and F.-T. Liu intheir paper. In a bid to optimize order allocation and cuttingtrim loss, the authors present a new decision model basedon the adjustment of scheduling and limitation of inventoryquantity to differentiate trim loss and inventory distributiondata. Furthermore, “An Inventory Model under TrapezoidalType Demand, Weibull-Distributed Deterioration, and Par-tial Backlogging” by L. Zhao proposed an inventory modeland policy for Weibull-distributed deterioration items withtrapezoidal type demand rate, in which shortages are allowedand partial backlogging depends on the waiting time for thenext replenishment.

D. Kim in the paper “A Dynamic Model of the Tragedyof the Commons inMarketing-Intensive Industries” providesthe analysis of the processes of a dynamic model introducedto prevent business ecosystem from being plunged intoTragedy of the Commons (ToC) thereby enhancing sustain-able growth and competitiveness of the business ecosystem.

Finally, in “Metaheuristic Algorithm for Solving Biob-jective Possibility Planning Model of Location-Allocation inDisaster Relief Logistics” by F. Barzinpour et al., amultiobjec-tivemodel for periodic location and allocation of distributioncentres to damaged areas during natural disaster in order todistribute relief commodities is presented and solved usingGA.

Water and Gas Resource Management. There are also fivepapers dealing with water, oil, and gas resource management.Y. Wang et al. in their paper “An Analytical Solution byHAM for Nonlinear Simulation of Deepwater SCR Instal-lation” seek to optimize the time taken during installationpath calculation by numerical simulation software in steelcatenary riser (SCR) by establishing a mechanical modelthat makes use of homotopy analysis method to simplifyits analytical solution while dimensional analysis was con-sidered in making initial guess solution. X.-H. Tan et al.establish a new mathematical model of gas-water two-phase

Journal of Applied Mathematics 3

flow to “Determine the Inflow Performance Relationship ofWater Producing Gas Well Using Multiobjective Optimiza-tion Method” thus overcoming the limitation of well testingon site. Also, in “Numerical Investigation of Gas MixtureLength of Nitrogen Replacement in Large-Diameter NaturalGas Pipeline without Isolator” by H. Zhu and Q. Han, acomputational fluid dynamic model coupled to a species-transportation model was used to investigate the gas mixturelength of nitrogen replacement in large-diameter pipelinewithout isolator.

In “Modeling and Optimization of Beam Pumping Sys-tem Based on Intelligent Computing for Energy Saving,” X.Gu et al. present a novel intelligent technique for optimizingbeam pumping system for petroleum enterprises in Chinain order to save energy. In “Mathematical Model of PipelineAbandonment and Recovery in Deepwater,” X.-G. Zeng etal. deal with the challenge of pipeline abandonment andrecovery in offshore oil and gas engineering by introducing athird-order differential equationwhich is solved using a noveltechnique.

Scheduling, Resource, and Transportation Planning. A fewpapers consider scheduling, resources, and transport plan-ning within different domain area. The paper “A SchedulingProblem in the Baking Industry” by F. A. M. da Silva etal. presents greedy and genetic algorithm (GA) to handle areal-world scheduling problem in the baking industry arisingfrom increasing production rates, growing demand, andresource constraints. The main objective is to optimize bothdelivery time and profit maximization. The paper “Multiob-jective FuzzyMixedAssembly Line SequencingOptimizationModel” by F. Tahriri et al. addresses the research gap inthe assembly line sequencing optimization model for mixed-model production lines by presenting an integrated modelof job shop and assembly production lines for factories withmodular layouts that seeks to minimize the makespan, setuptime, and cost simultaneously in the mixed-model assemblylines. GA was employed to solve the derived model.

S. M. Akandwanaho et al. in “Solving Dynamic TravelingSalesman Problem Using Dynamic Gaussian Process Regres-sion” present a hybridization of dynamic Gaussian processregression with nearest neighbor and iterated local search tothe track dynamic optima for the dynamic traveling salesmanproblem. In “Airline Overbooking Problem with UncertainNo-Shows,” C. Zhang et al. present an idea that seeks tominimize the effect of no-shows and any other uncertainhuman behaviour or unexpected events in an airline over-booking problem of a new single-leg flight with discountfare. “Centralized Resource Allocation for Connecting Radialand Nonradial Models” by A. Mirsalehy et al. examines analternative approach to the centralized resource allocationmodel that indicates that all units are under the control of anentity of the centralized decision maker.

“Flow Merging and Hub Route Optimization in Collab-orative Transportation” by K. Weng and Z. Xu studies theoptimal hub routing problem ofmerged tasks in collaborativetransportation being applicable in logistics, postal services,airline, and other transportation systems and presents twoheuristics to solve the derived mixed integer programming

model. S. Wen et al. in “Weighted Multimodel PredictiveFunction Control for Automatic Train Operation System”design a speed controller for train operation based on theinput and output data of the train in order to obtain a predic-tive model about the system based on weighted indicators.

In “NewProductDevelopment in an Emerging Economy:Analysing the Role of Supplier Involvement Practices byUsing Bayesian Markov Chain Monte Carlo Technique,”K. Kanapathy et al. use structural equation modelling andBayesian Markov Chain Monte Carlo algorithm in a case of146 companies in China to determine whether the positiverelationship found between supplier involvement practicesand new product development performances in developedeconomies also holds in emerging economies.

Data Mining. L. Si et al. present “A Novel ClassificationApproach through Integration of Rough Sets and Back-Propagation Neural Network” which essentially hybridizesthe underlying techniques for application in data mining.P. Santos et al. in their paper “Modelling Laser Milling ofMicrocavities for the Manufacturing of DES with Ensem-bles” study the laser-milling process of microcavities in themanufacture of drug-eluting stents (DES). A set of designedexperiments using different regression methods (ensemble,support vector, ANN, and linear and nearest neighbour) wereconducted with ensemble regression as the most efficienttechnique.

In conclusion, this special issue has contributed to thefield of optimization and modelling of real-world problem aswell as development of innovative optimization techniquesfor handling such problem. We hope that ideas generatedin this issue will provoke further research and thoughtsin the field of mathematical modelling, optimization, andoptimization techniques.

Acknowledgment

We would like to express our profound gratitude to allthe reviewers whose professional expertise contributedimmensely to the outcome of this special issue.

M. Montaz AliAderemi O. AdewumiNachamada Blamah

Olabisi Falowo

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