Multi-ontology, sense-making and the emergence of the future, Futures, vol.41, issue.5, pp.279-283, 2009. ,
Humanitarian supply chain performance management: a systematic literature review. Supply Chain Management, An International Journal, vol.19, issue.5/6, pp.592-608, 2014. ,
A comparative literature analysis of definitions for green and sustainable supply chain management, Journal of Cleaner Production, vol.52, pp.329-341, 2013. ,
An analysis of metrics used to measure performance in green and sustainable supply chains, Journal of Cleaner Production, vol.86, pp.360-377, 2015. ,
Agile and lean principles in the humanitarian supply chain, Journal of Humanitarian Logistics and Supply Chain Management, vol.2, issue.1, pp.16-33, 2012. ,
Graphical business process modelling standards, techniques and languages: a literature review, International Journal of Business Information Systems, vol.25, issue.1, pp.18-54, 2017. ,
OR/MS research in disaster operations management, European Journal of Operational Research, vol.175, issue.1, pp.475-493, 2005. ,
ICT solutions supporting collaborative information acquisition, situation assessment and decision making in contemporary environmental management problems: the DIADEM approach, Conference on Innovations in Sharing Environmental Observation and Information, pp.920-931, 2011. ,
Making connections: a review of supply chain management and sustainability literature, An International Journal, vol.17, issue.5, pp.497-512, 2012. ,
A Framework for Shelter Location Decisions by Ant Colony Optimization, ISCRAM, 2015. ,
On the Literature Divergences of the Humanitarian Supply Chain. Presented at the ISCRAM-med, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01611007
Facility location in humanitarian relief, International Journal of Logistics Research and Applications, vol.11, issue.2, pp.101-121, 2008. ,
, , 2010.
, Coordination in humanitarian relief chains: Practices, challenges and opportunities, International Journal of Production Economics, vol.126, issue.1, pp.22-34
Last Mile Distribution in Humanitarian Relief, Journal of Intelligent Transportation Systems, vol.12, issue.2, pp.51-63, 2008. ,
Mesa redonda con embajadores en Panamá, IFRC, 2015. ,
Métamodélisation et ingénierie des systèmes d'information. Ingénierie des syst?mes d? information, pp.149-174, 2001. ,
The Logistic Maturity Model: Application to a Fashion Company, International Journal of Engineering Business Management, vol.1, 2013. ,
Modèles d'évaluation des performances économique, environnementale et sociale dans les chaînes logistiques, 2011. ,
Measuring supply chain performance, International Journal of Operations & Production Management, vol.19, issue.3, pp.275-292, 1999. ,
Performance measurement in humanitarian relief chains, International Journal of Public Sector Management, vol.21, issue.1, pp.4-25, 2008. ,
Conception de système d'Infromation de Médiation pour la prise en charge de l'Intéroperabilité dans les Collaborations d'Organizations (HDR), 2012. ,
A metamodel and its ontology to guide crisis characterization and its collaborative management, Proceedings of the 5th International Conference on Information Systems for Crisis Response and Management (ISCRAM), pp.4-7, 2008. ,
A Metamodel for Knowledge Management in Crisis Management, Presented at the 2016 49th Hawaii International Conference on System Sciences (HICSS), pp.126-135, 2016. ,
Putting sustainability into supply chain management. Supply Chain Management, An International Journal, vol.19, issue.3, pp.322-331, 2014. ,
An overview of continuous improvement: from the past to the present, Management Decision, vol.43, issue.5, pp.761-771, 2005. ,
Supply chain process modelling for humanitarian organizations, International Journal of Physical Distribution & Logistics Management, vol.40, issue.8/9, pp.675-692, 2010. ,
Key Performance Indicators for Sustainable Distribution Supply Chains: Set Building Methodology and Application, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01672431
Multiobjective optimization: interactive and evolutionary approaches, 2008. ,
Sustainability accounting and reporting: fad or trend? Accounting, Auditing & Accountability Journal, vol.23, issue.7, pp.829-846, 2010. ,
Sustainable supply chain management: evolution and future directions, International Journal of Physical Distribution & Logistics Management, vol.41, issue.1, pp.46-62, 2011. ,
A framework of sustainable supply chain management: moving toward new theory, International Journal of Physical Distribution & Logistics Management, vol.38, issue.5, pp.360-387, 2008. ,
The system development life cycle and digital library development, OCLC Systems & Services: International digital library perspectives, vol.23, issue.4, pp.348-352, 2007. ,
Performance Measurement in a Supply Chain, The International Journal of Advanced Manufacturing Technology, vol.21, issue.7, pp.534-548, 2003. ,
Special Issue -Applications of reference models for supply-chain integration. Production Planning & Control, vol.25, pp.1059-1064, 2014. ,
A framework for sustainable performance assessment of supply chain management practices, Computers & Industrial Engineering, vol.76, pp.138-147, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01356044
Improving the design and management of agile supply chains: feedback and application in the context of humanitarian aid, 2010. ,
An enterprise modelling approach for better optimisation modelling: application to the humanitarian relief chain coordination problem, OR Spectrum, vol.33, issue.3, pp.815-841, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01685415
Learning from previous humanitarian operations, a Business Process Reengineering approach, Proceedings of the 6th International ISCRAM Conference, vol.6, p.40, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01759039
Collaboration Networks Involving Humanitarian Organisations -Particular Problems for a Particular Sector, Collaborative Networks for a Sustainable World, pp.157-165, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01055998
Natural Disasters in Latin America and the Caribbean: An Overview of Risk (SSRN Scholarly Paper No. ID 1817233), 2000. ,
Feasibility of Information Interoperability in the Humanitarian Domain, 2015 AAAI Spring Symposium Series, 2015. ,
Designing for Networked Community Resilience, Procedia Engineering, vol.159, pp.6-11, 2016. ,
Understanding the Health Disaster: Research Design for the Response to the 2014 West African Ebola Outbreak, vol.107, pp.81-89, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01609213
Bringing Structure to the Disaster Data Typhoon : An Analysis of Decision-Makers ' Information Needs in the Response to Haiyan, 2015 AAAI Spring Symposium, pp.7-11, 2015. ,
, Maturity Models in Supply Chain Sustainability: A Systematic Literature Review. Sustainability, vol.9, p.64, 2017.
Supply Chains in Humanitarian Operations: Cases and Analysis, Procedia -Social and Behavioral Sciences, vol.54, pp.598-607, 2012. ,
Action research for operations management, International Journal of Operations & Production Management, vol.22, issue.2, pp.220-240, 2002. ,
Presented at the Enterprise Interoperability, Research and Applications in the Service-oriented Ecosystem, vol.2013, pp.199-213, 2013. ,
, , 2012.
, Humanitarian and disaster relief supply chains: a matter of life and death, Journal of Supply Chain Management, vol.48, issue.2, pp.21-36
Multi-objective optimization, Decision Sciences: Theory and Practice, pp.145-184, 2016. ,
Human-Computer Interaction, Encyclopedia of Database Systems, p.1327, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01572646
,
Beyond Manufacturing Resource Planning (MRP II): Advanced Models and Methods for Production Planning, 2013. ,
Sustainable development -historical roots of the concept, Environmental Sciences, vol.3, issue.2, pp.83-96, 2006. ,
The sustainable humanitarian supply chain design: agility, adaptability and alignment, International Journal of Logistics Research and Applications, vol.19, issue.1, pp.62-82, 2016. ,
Building theories from case study research, The Academy of Management Review, vol.14, issue.4, pp.532-550, 1989. ,
Accounting for the Tripple Bottom Line, Measuring Business Excellence, vol.2, issue.3, pp.18-22, 1998. ,
Sustainable supply chain network design: An optimization-oriented review, Omega, vol.54, pp.11-32, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00849859
Green to Gold: How Smart Companies Use Environmental Strategy to Innovate, Create Value, and Build Competitive Advantage, 2009. ,
Horizon 2020 work programme 2016-17 -20. General Annexes, 2017. ,
The year of recurring disasters: A review of Natural Disasters in 2012. The Brookings Institution, 2013. ,
The role of APS systems in Supply Chain Management: a theoretical and industrial analysis, International Journal of Logistics Systems and Management, vol.5, issue.3, p.356, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00266984
Reference process models and systems for inter-organizational ad-hoc coordination-supply chain management in humanitarian operations, 8th International Conference on Information Systems for Crisis Response and Management, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00593290
Identification and Modelling of Critical Success Factors of a Humanitarian Supply Chain, Managing Humanitarian Logistics, pp.33-50, 2016. ,
,
Review of recent developments in OR/MS research in disaster operations management, European Journal of Operational Research, vol.230, issue.2, pp.201-211, 2013. ,
Model Driven Architecture and Ontology Development, 2006. ,
The Estimation of the Lorenz Curve and Gini Index, The Review of Economics and Statistics, vol.54, issue.3, pp.306-316, 1972. ,
Shifting paradigms for sustainable development: Implications for management theory and research, Academy of management Review, vol.20, issue.4, pp.874-907, 1995. ,
, Global Logistic Services IFRC, 2011.
, GRIG4 -Reporting Principles and Standard Disclosures, 2015.
The Method for Assessment of the Sustainability Maturity in Remanufacturing Companies, Procedia CIRP, vol.15, pp.201-206, 2014. ,
Assessing Trade-offs among Multiple Objectives for Humanitarian Aid Delivery Using Expert Preferences, vol.23, pp.978-989, 2014. ,
Field-based decision makers' information needs in sudden onset disasters, 2013. ,
Sustainable Logistics and Supply Chain Management: Principles and Practices for Sustainable Operations and Management, 2017. ,
IFRC Global Logistics Service -Colombia, 2015. ,
A translation approach to portable ontology specifications. Knowledge acquisition, vol.5, pp.199-220, 1993. ,
Supply chain ontology: Review, analysis and synthesis, Computers in Industry, issue.8, pp.776-786, 2010. ,
Ontological Foundations for Structural Conceptual Models, 2005. ,
Performance measures and metrics in logistics and supply chain management: a review of recent literature (1995-2004) for research and applications, International Journal of Production Research, vol.45, issue.12, pp.2819-2840, 2007. ,
Perspectives on sustainability in humanitarian supply chains. Disaster Prevention and Management, An International Journal, vol.23, issue.5, pp.610-631, 2014. ,
Beyond greening-Strategies for a Sustainable World, Harvart Business Review, pp.66-78, 1996. ,
Considering Sustainability in the Context of Hu-manitarian Logistics, Managing Humanitarian Supply Chains, vol.14, pp.314-329, 2013. ,
, Humanitarian supply chain performance management: a systematic literature review. Supply Chain Management, An International Journal, vol.19, issue.5/6, pp.592-608, 2014.
Bridging metamodels and ontologies in software engineering, Journal of Systems and Software, vol.84, issue.2, pp.301-313, 2011. ,
Object-Oriented Metamethods, 2012. ,
Performance measurement for green supply chain management, Benchmarking: An International Journal, vol.12, issue.4, pp.330-353, 2005. ,
On the unique features of post-disaster humanitarian logistics, Journal of Operations Management, vol.30, issue.7-8, pp.494-506, 2012. ,
On the appropriate objective function for post-disaster humanitarian logistics models, Journal of Operations Management, vol.31, issue.5, pp.262-280, 2013. ,
Bridging Practice and Theory: A Design Science Approach, Decision Sciences, vol.40, issue.1, pp.65-87, 2009. ,
A review and analysis of supply chain operations reference (SCOR) model. Supply Chain Management, An International Journal, vol.9, issue.1, pp.23-29, 2004. ,
, Humanitarian Coalition, 2015.
Improving Humanitarian Coordination: Common Challenges and Lessons Learned from the Cluster Approach | The Journal of Humanitarian Assistance, The Journal of Humanitarian Assistance. Accessed, vol.8, 2013. ,
, Global Logistic Services Annual Report. IFRC, 2013.
, Global Logistic Services Annual Report. IFRC, 2014.
Extracting information nuggets from disaster-related messages in social media, ISCRAM, pp.791-800, 2013. ,
The organisational change of logistics in International Federation of the Red Cross and Red Crescent Societies (Case Study). HUMLOG-NET Project, Accessed, vol.11, 2008. ,
Corporate Governance and Corporate Social Responsibility Synergies and Interrelationships. Corporate Governance: An International Review, vol.16, pp.443-459, 2008. ,
Action Research is Similar to Design Science, Quality & Quantity, vol.41, issue.1, pp.37-54, 2007. ,
Meta-Modeling of Collaborative Supply Chain, Enterprise Interoperability VII, pp.307-320, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01759026
Supply chain risk management: outlining an agenda for future research, International Journal of Logistics Research and Applications, vol.6, issue.4, pp.197-210, 2003. ,
Sustainable Operations Management, vol.14, pp.482-492, 2005. ,
Humanitarian Logistics and Sustainability, Accessed, vol.13, 2015. ,
Supply Chain Management for Humanitarians: Tools for Practice, 2016. ,
Humanitarian logistics in disaster relief operations, International Journal of Physical Distribution & Logistics Management, vol.37, issue.2, pp.99-114, 2007. ,
Trends and developments in humanitarian logistics -a gap analysis, International Journal of Physical Distribution & Logistics Management, vol.41, issue.1, pp.32-45, 2011. ,
, Relief Supply Chain Management for Disasters: Humanitarian, Aid and Emergency Logistics, 2012.
Sustainable humanitarian supply chain management -exploring new theory, International Journal of Logistics Research and Applications, pp.1-20, 2017. ,
Relevance of humanitarian logistics research: best practices and way forward, International Journal of Operations & Production Management, vol.37, issue.11, pp.1585-1599, 2017. ,
Sustainable Supply Chain management capability maturity: framework development and initial evaluation, Proceedings, 2014. ,
A study on the subregionalization of Humanitarian Supply Chain: the IFRC case, Proceedings of the International Conference on Information Systems for Crisis Response and Management. Presented at the ISCRAM 2016, 2016. ,
, Towards More Relevant Research on Humanitarian Disaster Management Coordination. Presented at the ISCRAM 2015 Conference, 2015.
Humanitarian Value Stream Mapping: Application to the EBOLA Outbreak, Presented at the 12th International Conference on Information Systems for Crisis Response and Management, 2015. ,
Méthodes de diagnostic et d'évaluation de performance pour la gestion de chaînes logistiques: application à la coopération maison-mère-filiales internationales dans un groupe pharmaceutique et cosmétique, 2004. ,
, , 2014.
, A meta-ontology for knowledge acquisition and exploitation of collaborative social systems, Behavior, Economic and Social Computing (BESC), 2014 International Conference on, pp.1-7
Towards a better management of complex emergencies through crisis management meta-modelling, Disasters, vol.39, issue.4, pp.687-714, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01208000
Abrégé sur les méthodes de recherche et la recherche expérimentale, 2005. ,
Integration of decision support systems to improve decision support performance, Knowledge and Information Systems, vol.22, issue.3, pp.261-286, 2010. ,
A collaborative information system supporting decision and coordination in transport crisis context, 9th International Conference on Modeling, Optimization & SIMulation, 2012. ,
Sustainability and sustainable development: historical and conceptual review. Environmental impact assessment review, vol.18, pp.493-520, 1998. ,
Guide méthodologique Transport de marchandises -Caractéristiques de l'offre et capacité des modes de transport, 2014. ,
W(h)ither Ecology? The Triple Bottom Line, the Global Reporting Initiative, and Corporate Sustainability Reporting, Journal of Business Ethics, vol.118, issue.1, pp.13-29, 2013. ,
Supply chain modeling: past, present and future, Computers & Industrial Engineering, vol.43, issue.1-2, pp.231-249, 2002. ,
Action research in supply chain management-an introduction. Research methodologies in supply chain management, 349-364. logistics" study. Supply Chain Management, An International Journal, vol.8, issue.2, pp.122-131, 2005. ,
The maturity of supply chain sustainability disclosure from a continuous improvement perspective, International Journal of Productivity and Performance Management, vol.62, issue.8, pp.827-855, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01758039
Chapter 3: A Planning and Decision-Making Framework for Sustainable Humanitarian Logistics in Disaster Response, Humanitarian Logistics and Sustainability, 2015. ,
Humanitarian aid: an agile supply chain?, International Journal of Physical Distribution & Logistics Management, vol.39, issue.6, pp.486-505, 2009. ,
Knowledge Management and Acquisition for Smart Systems and Services, pp.111-125, 2010. ,
Capability maturity model, version 1.1, IEEE Software, vol.10, issue.4, pp.18-27, 1993. ,
An integrated approach for community hazard, impact, risk and vulnerability analysis: HIRV. The University of British Columbia, 2000. ,
Critical success factors in the context of humanitarian aid supply chains, International Journal of Physical Distribution & Logistics Management, vol.39, issue.6, pp.450-468, 2009. ,
Understanding sustainability: An organizational perspective, Environmental Quality Management, vol.21, issue.3, pp.93-100, 2012. ,
Relaxation of constraints in lexicographic multiobjective programming problems, Optimization: A Journal of Mathematical Programming and Operations Research, vol.64, issue.10, pp.2111-2129, 2014. ,
Sustainable Supply Chain Management-Decision Making and Support: The SSCM Maturity Model and System, Global Business Review, vol.15, issue.4_suppl, pp.1-12, 2014. ,
A theory of lexicographic multi-criteria optimization, Proceedings., Second IEEE International Conference on, pp.76-79, 1996. ,
World Scientists' Warning to Humanity: A Second Notice, BioScience, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01906049
Squaring the circle? Some thoughts on the idea of sustainable development, Ecological Economics, vol.48, issue.4, pp.369-384, 2004. ,
Model-driven engineering: A survey supported by the unified conceptual model, Computer Languages, Systems & Structures, vol.43, pp.139-155, 2015. ,
Centralised supply chain master planning employing advanced planning systems, Production Planning & Control, vol.20, issue.2, pp.158-167, 2009. ,
Sustainability Performance Measurement Framework for Supply Chain Management, ResearchGate. Accessed, vol.13, 2015. ,
Chapter 11: A Study of Barriers to Greening the Relief Supply Chain. In Relief supply chain management for disasters: humanitarian aid and emergency logistics, 2012. ,
The Triple Bottom Line: How Today's Best-Run Companies Are Achieving Economic, Social and Environmental Success --and How You Can Too, 2012. ,
Is there a right research design for your supply chain study?, Research Methodologies in Supply Chain Management, pp.1-12, 2005. ,
Core issues in sustainable supply chain management -a Delphi study, Business Strategy and the Environment, vol.17, issue.8, pp.455-466, 2008. ,
Equivalent weights for lexicographic multi-objective programs: Characterizations and computations, European Journal of Operational Research, vol.11, issue.4, pp.367-379, 1982. ,
Supply Chain Sustainability, a practical guide for continuous improvement, UN Global Compact. Accessed, vol.16, 2015. ,
Understanding sustainable supply network capabilities of multinationals: A capability maturity model approach, Proceedings of the Institution of Mechanical Engineers, vol.227, pp.595-615, 2013. ,
The three fundamental criticisms of the Triple Bottom Line approach: An empirical study to link sustainability reports in companies based in the AsiaPacific region and TBL shortcomings, Asian Journal of Business Ethics, vol.2, issue.1, pp.91-111, 2013. ,
Supply chain management and advanced planning--basics, overview and challenges, European Journal of Operational Research, vol.163, issue.3, pp.575-588, 2005. ,
, Supply chain management and advanced planning: concepts, models, software and case studies, 2005.
Modeling carbon footprints across the supply chain, International Journal of Production Economics, vol.128, issue.1, pp.43-50, 2010. ,
, Global Humanitarian Assitance report 2015. Global Humanitarian Assitance, 2015.
A review of decision-support tools and performance measurement and sustainable supply chain management, International Journal of Production Research, vol.53, issue.21, pp.6473-6494, 2015. ,
A consideration of the relevance of lean supply chain concepts for humanitarian aid provision, International Journal of Services Technology and Management, vol.12, issue.4, pp.430-444, 2009. ,
From preparedness to partnerships: case study research on humanitarian logistics, International Transactions in Operational Research, vol.16, issue.5, pp.549-559, 2009. ,
The humanitarian pickup and distribution problem, 2016. ,
Hurricanes and Climate Change, 2016. ,
Terminology on Disaster Risk Reduction, 2009. ,
, OCHA and Slow Onset Emergencies, United Nations, 2011.
, Sendai Framework for Disaster Risk Reduction, United Nations, 2015.
Ontologies: Principles, methods and applications. The knowledge engineering review, vol.11, pp.93-136, 1996. ,
Risk Accelerators in Disasters; Insights from the Typhoon Haiyan Response on Humanitarian Information Management and Decision Support, 2014. ,
Using life cycle sustainability assessment to trade off sourcing strategies for humanitarian relief items, The International Journal of Life Cycle Assessment, vol.22, issue.11, pp.1718-1730, 2017. ,
Humanitarian aid logistics: supply chain management in high gear ?, Journal of the Operational Research Society, vol.57, issue.5, pp.475-489, 2006. ,
Using OR to adapt supply chain management best practices to humanitarian logistics, International Transactions in Operational Research, vol.19, issue.1-2, pp.307-322, 2012. ,
A decision support system for robust humanitarian facility location, Engineering Applications of Artificial Intelligence, vol.46, pp.326-335, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01611088
Indicators of sustainable production: framework and methodology, Journal of Cleaner Production, vol.9, issue.6, pp.519-549, 2001. ,
Global challenges, sustainable development, and their implications for organizational performance, European Business Review, vol.27, issue.4, pp.430-446, 2015. ,
Chapter 11: A Sustainable Humanitarian Relief Network Study for the Wenchuan Earthquake, Humanitarian Logistics and Sustainability, pp.195-215, 2015. ,
Understanding Humanitarian Supply Chains-Developing an Integrated Process Analysis Toolkit, 10th International ISCRAM Conference. Presented at the Information Systems for Crisis Response and Management, 2013. ,
Multi-Objective MDPs with Conditional Lexicographic Reward Preferences, Twenty-Ninth AAAI Conference on Artificial Intelligence, pp.3418-3424, 2015. ,
,
, State and Trends of Carbon Pricing, 2016.
Supply Chain Integration and the SCOR Model, Journal of Business Logistics, vol.32, issue.4, pp.332-344, 2001. ,
,
, Sets: Times:; Flow : fori,fdes,fpro,ftlt,fope,fcost,fitc,fsoc,fenv
, Times): fexp
, Supplier:sid,spro
Times): ssca,Sout ,
,
, Times
, Customer:cid,cpro,cunc
, Times): cqua
, Lexicographic
, Test:eff_tol,soc_tol,env_tol,eco_tol
Lexicographic):eff_cons,soc_cons,env_cons,eco_cons,eff_ind ic,soc_indic,env_indic,eco_indic,eff_init,soc_init,env_init,eco_init, Test ,
, Cell/1..1
,
,
, SubModel Constraints
, ! Numbero of time periods
, NT=@SIZE(Times
, ! FlOWS CONSERVATION @for(MatFT(f,t)|t#LE#ftlt(f):Fin(f,t)=fexp(f,t
, @for(MatFT(f,t)|t#GT#ftlt(f):Fin(f,t)=fout(f,tftlt(f))+fexp(f,t))
, @for(MatFT(f,t)|t#GT#(NT-ftlt(f)):fout(f,t)=0)
, ! SUPPLIERS ! supplier balance, or flow conservation
, Sout(s,t)=@sum(MatFt(f,t)|(fori(f)#EQ#sid(s))
, #AND# (fpro(f)#EQ#spro(s)): Fout(f,t)))
, ! supply capacity constraint
, MatST(s,t):Sout(s,t)<=ssca(s,t))
,
, ! warehouse balance, or flow conservation
, @for(MatWT(w,t)|t#EQ#1: wini(w)+ @sum(Flow(f)|fdes(f)#EQ#wid(w)#AND# fpro(f)#EQ#wpro(w): Fin(f,1
, Winv(w,1)+@sum(Flow(f)|(fori(f)#EQ#wid(w))
, #AND# (fpro(f)#EQ#wpro(w)):Fout(f,1)))
, @for(MatWT(w,t)|t#GT#1
, Winv(w,t-1)+@sum(Flow(f)|(fdes(f)#EQ#wid(w)
, #AND# (fpro(f)#EQ#wpro(w)):Fin(f,t))=
, Winv(w,t)+@sum(Flow(f)|(fori(f)#EQ#wid(w))
, #AND# (fpro(f)#EQ#wpro(w)):Fout(f,t)))
, ! warehouse contingency stock constraint
, @for(MatWT(w,t): Winv(w,t)-wreq(w)=Wove(w,t)-Wsto
, @for(MatWT(w,t): Winv(w,NT)=wreq(w)
,
, ! Total needs value over the periode
, Customer(c): ctqua(c)=@sum(Times(t):cqua(c,t))*cunc(c))
, ! Total received value
, Ctrec(c)=@sum(Times(t):Cin(c,t))*cunc(c))
, ! Total stockout value over the periode
, Customer(c): ctsto(c)=@sum(Times(t):csto(c,t))*cunc(c))
, ! Customer balance @for(MatCT(c,t):Cin(c,t)= @sum(Flow(f)|(fdes(f)#EQ#cid(c))
, #AND# (fpro(f)#EQ#cpro(c))
, MatCT(c,t)|t#EQ#1:Cin(c,1)+Csto(c,1)=Cqua(c,1)+Cove(c,1))
, @for(MatCT(c,t)|t#GT#1:Cin(c,t)+Csto(c,t)=Cqua(c,t)+Cove(c,t)+Csto (c,t-1)-Cove(c
, Customer(c): Ctqua(c)=@sum(Times(t):Cin(c,t)*cunc(c)))
,
, Customer(c)|(cpen(c)#EQ#1, vol.5
, Customer(c):Ctsto(c))/@sum(Customer(c):ctqu a(c)))+0.1)
, Customer(c)|(cpen(c)#EQ#1, vol.5
, Ctsto(c)/ctqua(c)>(@sum(Customer(c):Ctsto(c))/@sum(Customer(c):ctq
, ! OBJECTIVE FUNCTIONS CONSTRAINTS
,
, !Ctpen calculation _ Penalty of the stockout par customer and product
, Ctpen(c)=@sum(Times(t):((Cpen(c)*Csto(c,t))+Cove(c,t))* cunc(c)))
, !Wtpen calculation _ Penalty of the stockout par warehouse and product
, @for(Warehouse(w):Wtpen(w)=@sum(Times(t):(Wsto(w,t)+Wove(w,t))*wunc(w)))
, EndSubModel SubModel Indicators: Effective=@sum(Customer(c):Ctqua(c)*cpen(c))-@sum(Customer(c):Ctpen(c)/NT)+@sum(Warehouse(w):Wreq(w)*wunc(w))-@sum(Warehouse(w):Wtpen(w)/NT)
, ! Maximize local suppliers volume, considering the expected commands (fin)
MatFT(f,t):(Fin(f,t)*fsoc(f)*fcost(f))) ,
, Environment=@sum(MatFT(f,t):(Fin(f,t)*fenv(f)))
, Economy=@sum(MatFT(f,t):(Fin(f,t)*fcost(f)))
,
, SubModel EconomyOpt: min=Economy
,
, SubModel EnvironmentOpt: min=Environment
,
, SubModel EffConstraint: Effective>=eff_cons(1,6)-(eff_cons(1,6)*eff_tol(testn))
,
, SubModel SocConstraint: Social>=soc_cons(testn,ord)-(soc_cons(testn,ord)*soc_tol(testn))
,
,
, SubModel EnvConstraint: !equal or lower than the constraint
,