Interval-parameter semi-infinite programming model for used tire management and planning under uncertainty

Abstract In the European Union, approximately 3.6 million tonnes of used tires are generated annually. Because used tires are not biodegradable, there is strong motivation to successfully manage this fast-growing waste flow. One of the most popular approaches for sustainable environmental stewardship of used tires is retreading. The problem investigated in this paper is to identify optimized purchasing, retreading, and inventory planning schemes of used tires in multiple tire retreading plants as well as allocation patterns of retreaded, reusable, and end-of-life tires that secure maximized profit within a multi-period planning horizon and under multiple uncertainties. This paper proposes an interval-parameter semi-infinite programming model for used tire management and planning. The underlying difference between this model and those developed in previous research is its ability to consider the effects of external impact factors related to complicated economic, environmental, and social activities on used tire management systems. Moreover, it can successfully handle real-life uncertainties of the used tire management systems expressed as functional and crisp intervals. A numerical example is provided to demonstrate the usefulness of the developed model. Flexible long-term purchasing, retreading, inventory, and allocation plans, which are adjustable with variations of external impact factors, are obtained. The presented model has advantages in addressing the dynamic complexity of used tire management systems by introducing the functional interval parameters associated with the price of a new tire as well as electricity and gas prices and labor costs in waste management and transportation sectors. Compared with the available models, the resulting solutions are far more robust because they are able to satisfy all possible levels of external impact factors. The presented model is beneficial for the tire retreading industry, which processes millions of used tires annually.

[1]  Tong Shaocheng,et al.  Interval number and fuzzy number linear programmings , 1994 .

[2]  Alexandra Pehlken,et al.  Using information of the separation process of recycling scrap tires for process modelling , 2009 .

[3]  Stephen C. Graves,et al.  Remanufacturing and energy savings. , 2011, Environmental science & technology.

[4]  M C Zanetti,et al.  Characterization of crumb rubber from end-of-life tyres for paving applications. , 2015, Waste management.

[5]  Li He,et al.  An Interval Mixed-Integer Semi-Infinite Programming Method for Municipal Solid Waste Management , 2009, Journal of the Air & Waste Management Association.

[6]  G. Kannan,et al.  Analysis of closed loop supply chain using genetic algorithm and particle swarm optimisation , 2009 .

[7]  Tsai C. Kuo,et al.  Waste electronics and electrical equipment disassembly and recycling using Petri net analysis , 2010, The 40th International Conference on Computers & Indutrial Engineering.

[8]  Ali Diabat,et al.  Analyzing the drivers of end-of-life tire management using interpretive structural modeling (ISM) , 2014 .

[9]  Guohe Huang,et al.  Optimization of regional waste management systems based on inexact semi-infinite programming , 2008 .

[10]  John W. Chinneck,et al.  Linear programming with interval coefficients , 2000, J. Oper. Res. Soc..

[11]  Walid Abdul-Kader,et al.  Sustainable tyre remanufacturing: an agent-based simulation modelling approach , 2011 .

[12]  Márcio de Almeida D'Agosto,et al.  Value chain analysis applied to the scrap tire reverse logistics chain: An applied study of co-processing in the cement industry , 2013 .

[13]  J. M. Arandes,et al.  Opportunities and barriers for producing high quality fuels from the pyrolysis of scrap tires , 2016 .

[14]  N. Oikonomou,et al.  Improvement of chloride ion penetration resistance in cement mortars modified with rubber from worn automobile tires , 2009 .

[15]  Liping Fang,et al.  Process planning for closed-loop aerospace manufacturing supply chain and environmental impact reduction , 2014, Comput. Ind. Eng..

[16]  Xing Zhang,et al.  An interval full-infinite mixed-integer programming method for planning municipal energy systems - A case study of Beijing , 2011 .

[17]  O. Sengul,et al.  Mechanical behavior of concretes containing waste steel fibers recovered from scrap tires , 2016 .

[18]  Veli Deniz,et al.  End of life tyre management: Turkey case , 2017 .

[19]  Christopher J. Koroneos,et al.  A methodological framework for end-of-life management of electronic products , 2009 .

[20]  Gheorghe Bunget,et al.  Impact-acoustic evaluation method for rubber-steel composites: Part I. Relevant diagnostic concepts , 2015 .

[21]  Ambrose Dodoo,et al.  Carbon implications of end-of-life management of building materials. , 2009 .

[22]  Luk N. Van Wassenhove,et al.  Tire recovery: the RetreadCo case , 2005 .

[23]  S. Vinodh,et al.  Application of Hybrid MCDM Approach for Selecting the Best Tyre Recycling Process , 2013 .

[24]  Debjani Chakraborty,et al.  Interpretation of inequality constraints involving interval coefficients and a solution to interval linear programming , 2001, Fuzzy Sets Syst..

[25]  Vasilis Fthenakis,et al.  End-of-life management and recycling of PV modules , 2000 .

[26]  Einara Blanco Machin,et al.  Energetic valorization of waste tires , 2017 .

[27]  Li He,et al.  Identifying optimal regional solid waste management strategies through an inexact integer programming model containing infinite objectives and constraints. , 2009, Waste management.

[28]  A. Noorul Haq,et al.  A multi-echelon reverse logistics network design for product recovery—a case of truck tire remanufacturing , 2010 .

[29]  Nebojsa J. Bojovic,et al.  Applying a mathematical approach to improve the tire retreading process , 2014 .

[30]  Fabrizio Dallari,et al.  Applying an integrated logistics network design and optimisation model: the Pirelli Tyre case , 2012 .

[31]  Riaz Ahmed Khan,et al.  Design of unsurfaced roads constructed with large-size shredded rubber tires: a case study , 2005 .

[32]  Farzad Dehghanian,et al.  Designing sustainable recovery network of end-of-life products using genetic algorithm , 2009 .

[33]  Yesim Kop,et al.  End-of-Life Tyres Recovery Method Selection in Turkey by Using Fuzzy Extended AHP , 2012, IPMU.

[34]  M. Jeguirim,et al.  Thermochemical conversion of waste tyres—a review , 2017, Environmental Science and Pollution Research.

[35]  Chui-Te Chiu,et al.  Use of ground tire rubber in asphalt pavements : Field trial and evaluation in Taiwan , 2008 .

[36]  Li He,et al.  An inexact stochastic optimization model for agricultural irrigation management with a case study in China , 2014, Stochastic Environmental Research and Risk Assessment.

[37]  Jorge de Brito,et al.  Concrete made with used tyre aggregate: durability-related performance , 2012 .

[38]  Surendra M. Gupta,et al.  A Robotic-Driven Disassembly Sequence Generator for End-Of-Life Electronic Products , 2012, Journal of Intelligent & Robotic Systems.

[39]  F. Hernández-Olivares,et al.  Influence of fibers partially coated with rubber from tire recycling as aggregate on the acoustical properties of rubberized concrete , 2016 .

[40]  Khaled M. Feriha,et al.  Feasibility study for end-of-life tire recycling in new tire production, Egypt , 2014 .

[41]  Li He,et al.  An interval full-infinite programming method to supporting environmental decision-making , 2008 .

[42]  Elena Cristina Rada,et al.  Treatment and disposal of tyres: Two EU approaches. A review. , 2015, Waste management.

[43]  Mohamad Y. Jaber,et al.  Carbon emissions and energy effects on manufacturing-remanufacturing inventory models , 2015, Comput. Ind. Eng..

[44]  Thomas J. Rainey,et al.  Scrap Tyre Management Pathways and Their Use as a Fuel—A Review , 2016 .

[45]  Zeshui Xu,et al.  Interval programming method for hesitant fuzzy multi-attribute group decision making with incomplete preference over alternatives , 2014, Comput. Ind. Eng..

[46]  Abu Bakar Mahat,et al.  Integrated forward and reverse supply chain: A tire case study. , 2017, Waste management.

[47]  M. Kemal Güllü,et al.  Image processing-aided working posture analysis: I-OWAS , 2015, Comput. Ind. Eng..

[48]  Ana Ximena Halabi Echeverry,et al.  Modelling reverse logistics practices: a case study of recycled tyres in Colombia , 2014 .

[49]  Zhenming Xu,et al.  Constructing environment-friendly return road of metals from e-waste: Combination of physical separation technologies , 2016 .

[50]  Joaquín B. Ordieres Meré,et al.  The new challenges of end-of-life tyres management systems: a Spanish case study. , 2013, Waste management.

[51]  Nurcin Celik,et al.  Continuous-discrete simulation-based decision making framework for solid waste management and recycling programs , 2013, Comput. Ind. Eng..

[52]  Diala Dhouib.  An extension of MACBETH method for a fuzzy environment to analyze alternatives in reverse logistics for automobile tire wastes , 2014 .

[53]  Yu-Chung Tsao,et al.  Optimizing fuzzy reverse supply chain for end-of-life vehicles , 2017, Comput. Ind. Eng..

[54]  Henglin Xiao,et al.  Study of a small scale tyre-reinforced embankment , 2016 .

[55]  Baptiste Lebreton,et al.  A quantitative approach to assessing the profitability of car and truck tire remanufacturing , 2006 .

[56]  Klaus-Dieter Thoben,et al.  ASSESSING THE FUTURE POTENTIAL OF WASTE FLOWS - CASE STUDY SCRAP TIRES , 2014 .

[57]  Sandeep Mondal,et al.  Simulation of tyre retreading process – an Indian case study , 2012 .

[58]  Chitsan Lin,et al.  Recycling waste tire powder for the recovery of oil spills , 2008 .

[59]  Guo H. Huang,et al.  Bivariate interval semi-infinite programming with an application to environmental decision-making analysis , 2011, Eur. J. Oper. Res..

[60]  Paulo A. Ribeiro,et al.  A management system for end-of-life tyres: a Portuguese case study. , 2008, Waste management.

[61]  Alizar Hasan,et al.  Minimizing economic and environmental impacts through an optimal preventive replacement schedule: Model and application , 2017 .

[62]  Saman Hassanzadeh Amin,et al.  Effects of uncertainty on a tire closed-loop supply chain network , 2017, Expert Syst. Appl..

[63]  G. Baykal,et al.  Influence of different processing techniques on the mechanical properties of used tires in embankment construction. , 2010, Waste management.

[64]  Michael R. Duffey,et al.  Scrap tires to crumb rubber: feasibility analysis for processing facilities , 2004 .

[65]  Chien-Wei Wu,et al.  An efficient approach to determine cell formation, cell layout and intracellular machine sequence in cellular manufacturing systems , 2013, Comput. Ind. Eng..

[66]  R. Siddique,et al.  Properties of concrete containing scrap-tire rubber--an overview. , 2004, Waste management.

[67]  Adil Baykasoğlu,et al.  Designing an environmentally conscious tire closed-loop supply chain network with multiple recovery options using interactive fuzzy goal programming , 2015 .

[68]  Haiping Zhou,et al.  Caltrans use of scrap tires in asphalt rubber products: a comprehensive review , 2014 .