A quantitative and simulation model for managing sudden supply delay with fuzzy demand and safety stock

In this paper, a recovery model is developed for managing sudden supply delays that affect retailers’ economic order quantity model. For this, a mathematical model is developed that considers fuzzy demand and safety stock, and generates a recovery plan for a finite future period immediately after a sudden supply delay. An efficient heuristic solution is developed that generates the recovery plan after a sudden supply delay. An experiment with scenario-based analysis is conducted to test our heuristic and to analyse the results. To assess the quality and consistency of solutions, the performance of the proposed heuristic is compared with the performance of the generalised reduced gradient method, which is widely applied in constrained mathematical programming. A simulation model is also designed to bring the recovery model closer to real-world processes. Several numerical examples are presented and a sensitivity analysis is performed to demonstrate the effects of various parameters on the performance of the heuristic method. The results show that safety stock plays an important role in recovery from sudden supply delays, and there is a trade-off between backorder and lost sales costs in the recovery plan. With the help of the proposed model, supply chain decision-makers can make accurate and prompt decision regarding recovery plans in case of sudden supply delay.

[1]  Ruhul A. Sarker,et al.  Managing real-time demand fluctuation under a supplier-retailer coordinated system , 2014 .

[2]  Navid Sahebjamnia,et al.  Retail supply chain network design under operational and disruption risks , 2015 .

[3]  Ming-Feng Yang Applying the linear particle swarm optimization to a serial multi-echelon inventory model , 2010, Expert Syst. Appl..

[4]  Tsan-Ming Choi,et al.  Scheduling and co-ordination of multi-suppliers single-warehouse-operator single-manufacturer supply chains with variable production rates and storage costs , 2013 .

[5]  Jianguo Du,et al.  A study of emergency management of supply chain under supply disruption , 2013, Neural Computing and Applications.

[6]  Irena Stojkovska,et al.  On the optimality of the optimal policies for the deterministic EPQ with partial backordering , 2013 .

[7]  Léa A. Deleris,et al.  Risk management in supply networks using Monte-Carlo simulation , 2005, Proceedings of the Winter Simulation Conference, 2005..

[8]  Manoranjan Maiti,et al.  A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity , 1997 .

[9]  G. Celano,et al.  A new efficient encoding/decoding procedure for the design of a supply chain network with genetic algorithms , 2010, Comput. Ind. Eng..

[10]  Xueping Li,et al.  Supply chain resilience for single and multiple sourcing in the presence of disruption risks , 2018, Int. J. Prod. Res..

[11]  Huey-Ming Lee,et al.  Economic production quantity for fuzzy demand quantity, and fuzzy production quantity , 1998, Eur. J. Oper. Res..

[12]  Ruhul A. Sarker,et al.  A recovery mechanism for a two echelon supply chain system under supply disruption , 2014 .

[13]  Miguel A. Figliozzi,et al.  Online Freight Network Assignment Model with Transportation Disruptions and Recourse , 2011 .

[14]  Yannick Frein,et al.  Supply chain design to guarantee quoted lead time and inventory replenishment: model and insights , 2017, Int. J. Prod. Res..

[15]  Ahmet Satir,et al.  Impact of lead time variability in supply chain risk management , 2016 .

[16]  Ruhul A. Sarker,et al.  Real time disruption management for a two-stage batch production-inventory system with reliability considerations , 2014, Eur. J. Oper. Res..

[17]  Alexandre Dolgui,et al.  Ripple effect in the supply chain: an analysis and recent literature , 2018, Int. J. Prod. Res..

[18]  Manoranjan Maiti,et al.  Multi-item inventory models with price dependent demand under flexibility and reliability consideration and imprecise space constraint: A geometric programming approach , 2009, Math. Comput. Model..

[19]  Debjani Chakraborty,et al.  A production inventory model with fuzzy random demand and with flexibility and reliability considerations , 2009, Comput. Ind. Eng..

[20]  Konstantin Kogan,et al.  Coordination of co-investments in supply chain infrastructure , 2012, J. Intell. Manuf..

[21]  Mark Goh,et al.  Managing sudden transportation disruptions in supply chains under delivery delay and quantity loss , 2019, Ann. Oper. Res..

[22]  R. Eltantawy,et al.  Securing the upstream supply chain: a risk management approach , 2004 .

[23]  Shams Rahman,et al.  A Recovery Model for Sudden Supply Delay with Demand Uncertainty and Safety Stock , 2018 .

[24]  N. Jawahar,et al.  A genetic algorithm for the two-stage supply chain distribution problem associated with a fixed charge , 2009, Eur. J. Oper. Res..

[25]  Ali H. Diabat Hybrid algorithm for a vendor managed inventory system in a two-echelon supply chain , 2014, Eur. J. Oper. Res..

[26]  Joseph Sarkis,et al.  Quantitative models for managing supply chain risks: A review , 2015, Eur. J. Oper. Res..

[27]  Alexandre Dolgui,et al.  Disruption-driven supply chain (re)-planning and performance impact assessment with consideration of pro-active and recovery policies , 2016 .

[28]  Seyed Taghi Akhavan Niaki,et al.  A fuzzy vendor managed inventory of multi-item economic order quantity model under shortage: An ant colony optimization algorithm , 2014 .

[29]  Rituparna Chaki,et al.  Computer Information Systems and Industrial Management , 2016, Lecture Notes in Computer Science.

[30]  Jose M. Cruz,et al.  Supply chain disruption risk management through strategic information acquisition and sharing and risk-sharing contracts , 2011 .

[31]  Alexandre Dolgui,et al.  Literature review on disruption recovery in the supply chain* , 2017, Int. J. Prod. Res..

[32]  Zhiqing Meng,et al.  Coordination between a supplier and a retailer in terms of profit concession for a two-stage supply chain , 2014 .

[33]  T. Vijayan,et al.  Fuzzy economic order time models with random demand , 2009, Int. J. Approx. Reason..

[34]  Shib Sankar Sana,et al.  A multi-echelon production–inventory system with supply disruption , 2014 .

[35]  Leopoldo Eduardo Cárdenas-Barrón,et al.  Incorporating human learning into a fuzzy EOQ inventory model with backorders , 2015, Comput. Ind. Eng..

[36]  Ruhul A. Sarker,et al.  A recovery model for a two-echelon serial supply chain with consideration of transportation disruption , 2013, Comput. Ind. Eng..

[37]  Miguel Andres Figliozzi,et al.  A Survey of China’s Logistics Industry and the Impacts of Transport Delays on Importers and Exporters , 2010 .

[38]  S. Chopra,et al.  Managing Risk To Avoid Supply-Chain Breakdown , 2004 .

[39]  Alexandre Dolgui,et al.  The Ripple effect in supply chains: trade-off ‘efficiency-flexibility-resilience’ in disruption management , 2014 .

[40]  Alexandre Dolgui,et al.  Dynamic recovery policies for time-critical supply chains under conditions of ripple effect , 2016 .

[41]  Seyed Taghi Akhavan Niaki,et al.  A genetic algorithm for vendor managed inventory control system of multi-product multi-constraint economic order quantity model , 2011, Expert Syst. Appl..

[42]  Amy Z. Zeng,et al.  Coordination with a Backup Supplier Through Buy-Back Contract Under Supply Disruption , 2010 .

[43]  S. Sana A collaborating inventory model in a supply chain , 2012 .

[44]  Yong Wang,et al.  Optimal ordering policies and sourcing strategies with supply disruption , 2014 .

[45]  Ruhul A. Sarker,et al.  A reactive mitigation approach for managing supply disruption in a three-tier supply chain , 2018, J. Intell. Manuf..

[46]  Mamata Jenamani,et al.  Sourcing decision under disruption risk with supply and demand uncertainty: A newsvendor approach , 2016, Ann. Oper. Res..

[47]  Martha C. Wilson,et al.  The impact of transportation disruptions on supply chain performance , 2007 .

[48]  Ruhul A. Sarker,et al.  Managing supply disruption in a three-tier supply chain with multiple suppliers and retailers , 2014, 2014 IEEE International Conference on Industrial Engineering and Engineering Management.

[49]  S. H. Chen,et al.  GRADED MEAN INTEGRATION REPRESENTATION OF GENERALIZED FUZZY NUMBER , 1999 .

[50]  William Ho,et al.  Supply chain risk management: a literature review , 2015 .

[51]  Ching-Jong Liao,et al.  An ant colony optimization algorithm for setup coordination in a two-stage production system , 2011, Appl. Soft Comput..

[52]  K. M. Ragsdell,et al.  The Generalized Reduced Gradient Method: A Reliable Tool for Optimal Design , 1977 .

[53]  Shib Sankar Sana,et al.  A production-inventory model of imperfect quality products in a three-layer supply chain , 2011, Decis. Support Syst..

[54]  Ruhul A. Sarker,et al.  A disruption recovery model for a single stage production-inventory system , 2012, Eur. J. Oper. Res..

[55]  Ou Tang,et al.  Simulated annealing in lot sizing problems , 2004 .

[56]  Ruhul A. Sarker,et al.  Managing risk and disruption in production-inventory and supply chain systems: A review , 2015 .

[57]  Manas Kumar Maiti,et al.  A production inventory model with fuzzy production and demand using fuzzy differential equation: An interval compared genetic algorithm approach , 2013, Eng. Appl. Artif. Intell..

[58]  Thomas A. Runkler,et al.  Distributed supply chain management using ant colony optimization , 2009, Eur. J. Oper. Res..

[59]  T. Cheng An economic production quantity model with flexibility and reliability considerations , 1989 .

[60]  S. K. Goyal,et al.  An application of Genetic Algorithm in solving an inventory model with advance payment and interval valued inventory costs , 2009, Math. Comput. Model..

[61]  Ruhul A. Sarker,et al.  Development of a production inventory model with uncertainty and reliability considerations , 2014 .

[62]  R. Kuik,et al.  Multi-level lot-sizing problem: Evaluation of a simulated-annealing heuristic , 1990 .

[63]  Sanjoy Kumar Paul,et al.  Optimisation of a production inventory model with reliability considerations , 2014 .

[64]  Konstantinos Petridis,et al.  Optimal design of multi-echelon supply chain networks under normally distributed demand , 2015, Ann. Oper. Res..

[65]  Ruhul A. Sarker,et al.  Managing disruption in an imperfect production-inventory system , 2015, Comput. Ind. Eng..

[66]  Özgür Kabak,et al.  Possibilistic linear-programming approach for supply chain networking decisions , 2011, Eur. J. Oper. Res..

[67]  Gang Yu,et al.  Real-time disruption management in a two-stage production and inventory system , 2004 .

[68]  Cheng-Chew Lim,et al.  Coordination in a Single-Retailer Two-Supplier Supply Chain under Random Demand and Random Supply with Disruption , 2013 .

[69]  Ruhul A. Sarker,et al.  A disruption recovery plan in a three-stage production-inventory system , 2015, Comput. Oper. Res..

[70]  Ruhul A. Sarker,et al.  A Disruption Recovery Model in a Production-Inventory System with Demand Uncertainty and Process Reliability , 2013, CISIM.

[71]  Amanda J. Schmitt,et al.  OR/MS models for supply chain disruptions: a review , 2014 .

[72]  Ruhul A. Sarker,et al.  A quantitative model for disruption mitigation in a supply chain , 2017, Eur. J. Oper. Res..

[73]  Reza Zanjirani Farahani,et al.  Robust supply chain network design with service level against disruptions and demand uncertainties: A real-life case , 2013, Eur. J. Oper. Res..