A tri-level optimization model for inventory control with uncertain demand and lead time

Axsäter, 2003, Approximate optimization of a two-level distribution inventory system, Int. J. Prod. Econ., 81, 545, 10.1016/S0925-5273(02)00270-0 Beaudin, 2015, Home energy management systems: a review of modelling and complexity, Renew. Sustain. Energy Rev., 45, 318, 10.1016/j.rser.2015.01.046 Bertsimas, 2006, Robust and data-driven optimization: modern decision-making under uncertainty, Inf. Tutorials Oper. Res., 95 Bertsimas, 2006, A robust optimization approach to inventory theory, Oper. Res., 54, 150, 10.1287/opre.1050.0238 Chen, 2008, An algorithm for single-item economic lot-sizing problem with general inventory cost, non-decreasing capacity, and non-increasing setup and production cost, Oper. Res. Lett., 36, 300, 10.1016/j.orl.2007.09.005 Chu, 2015, Simulation-based optimization framework for multi-echelon inventory systems under uncertainty, Comput. Chem. Eng., 73, 1, 10.1016/j.compchemeng.2014.10.008 Davis, 1993, Effective supply chain management, Sloan Manag. Rev., 34, 35 Defourny, 2011, 97 Dey, 2008, Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money, Eur. J. Oper. Res., 185, 170, 10.1016/j.ejor.2006.12.037 Fattahi, 2015, Investigating replenishment policies for centralised and decentralised supply chains using stochastic programming approach, Int. J. Prod. Res., 53, 41, 10.1080/00207543.2014.922710 Ho, 2005, A structural approach to measuring uncertainty in supply chains, Int. J. Electron. Commer., 9, 91, 10.1080/10864415.2005.11044334 Hoque, 2013, A manufacturer–buyer integrated inventory model with stochastic lead times for delivering equal-and/or unequal-sized batches of a lot, Comput. Oper. Res., 40, 2740, 10.1016/j.cor.2013.05.008 Hu, 2016, A two-stage stochastic programming model for lot-sizing and scheduling under uncertainty, Int. J. Prod. Econ., 180, 198, 10.1016/j.ijpe.2016.07.027 Huang, 2004, An optimal policy for a single-vendor single-buyer integrated production inventory problem with process unreliability consideration, Int. J. Prod. Econ., 91, 91, 10.1016/S0925-5273(03)00220-2 Huh, 2009, A nonparametric asymptotic analysis of inventory planning with censored demand, Math. Oper. Res., 34, 103, 10.1287/moor.1080.0355 Janssen, 2009, Assessing the effects of using demand parameters estimates in inventory control and improving the performance using a correction function, Int. J. Prod. Econ., 118, 34, 10.1016/j.ijpe.2008.08.029 Jung, 2004, A simulation based optimization approach to supply chain management under demand uncertainty, Comput. Chem. Eng., 28, 2087, 10.1016/j.compchemeng.2004.06.006 Kaya, 2014, Planning of capacity, production and inventory decisions in a generic reverse supply chain under uncertain demand and returns, Int. J. Prod. Res., 52, 270, 10.1080/00207543.2013.838330 Kchel, 2005, Simulation-based optimisation of multi-echelon inventory systems, Int. J. Prod. Econ., 9394, 505, 10.1016/j.ijpe.2004.06.046 Levi, 2007, Approximation algorithms for stochastic inventory control models, Math. Oper. Res., 32, 284, 10.1287/moor.1060.0205 Li, 2011, Uncertainty in logistics network design: a review, vol. 2 Louly, 2013, Optimal MRP parameters for a single item inventory with random replenishment lead time, POQ policy and service level constraint, Int. J. Prod. Econ., 143, 35, 10.1016/j.ijpe.2011.02.009 Maiti, 2009, Inventory model with stochastic lead-time and price dependent demand incorporating advance payment, Appl. Math. Model., 33, 2433, 10.1016/j.apm.2008.07.024 Monthly wholesale trade: Lumber and other construction materials, https://www.census.gov/econ/currentdata/(accessed in 2017). Monthly wholesale trade: Computer and computer peripheral equipment and software, https://www.census.gov/econ/currentdata/(accessed in 2017). Monthly wholesale trade: Farm product raw materials, https://www.census.gov/econ/currentdata/(accessed in 2017). Motor vehicle retail sales: Domestic autos, https://fred.stlouisfed.org/series/DAUTOSAAR, retrieved from FRED, Federal Reserve Bank of St. Louis (accessed 2017). Muriana, 2016, An eoq model for perishable products with fixed shelf life under stochastic demand conditions, Eur. J. Oper. Res., 255, 388, 10.1016/j.ejor.2016.04.036 Neely, 2010, Dynamic product assembly and inventory control for maximum profit, 2805 Pan, 2010, Robust supply chain design under uncertain demand in agile manufacturing, Comput. Oper. Res., 37, 668, 10.1016/j.cor.2009.06.017 Rahdar, 2014, Coordination mechanism for a deteriorating item in a two-level supply chain system, Appl. Math. Model., 38, 2884, 10.1016/j.apm.2013.11.019 Rossi, 2010, Computing the non-stationary replenishment cycle inventory policy under stochastic supplier lead-times, Int. J. Prod. Econ., 127, 180, 10.1016/j.ijpe.2010.05.011 Routroy, 2005, Differential evolution algorithm for supply chain inventory planning, J. Manuf. Technol. Manag., 16, 7, 10.1108/17410380510574059 Sahin, 2013, Rolling horizon planning in supply chains: review, implications and directions for future research, Int. J. Prod. Res., 51, 5413, 10.1080/00207543.2013.775523 Sajadieh, 2009, Developing a coordinated vendor–buyer model in two-stage supply chains with stochastic lead-times, Comput. Oper. Res., 36, 2484, 10.1016/j.cor.2008.10.001 Seifbarghy, 2006, Cost evaluation of a two-echelon inventory system with lost sales and approximately poisson demand, Int. J. Prod. Econ., 102, 244, 10.1016/j.ijpe.2005.03.007 Tempelmeier, 2011, A column generation heuristic for dynamic capacitated lot sizing with random demand under a fill rate constraint, Omega, 39, 627, 10.1016/j.omega.2011.01.003 Tempelmeier, 2013, 313 Total vehicle sales, https://fred.stlouisfed.org/series/TOTALSA, retrieved from FRED, Federal Reserve Bank of St. Louis (accessed in 2017). Unlu, 2009, Evaluating the lead time demand distribution for (r,q) policies under intermittent demand, 1670 Wang, 2013, A periodic-review inventory control policy for a two-level supply chain with multiple retailers and stochastic demand, Eur. J. Oper. Res., 230, 53, 10.1016/j.ejor.2013.04.004 Wang, 2005, Fuzzy decision modeling for supply chain management, Fuzzy Sets Syst., 150, 107, 10.1016/j.fss.2004.07.005 Xu, 2014, An exact algorithm for the bilevel mixed integer linear programming problem under three simplifying assumptions, Comput. Oper. Res., 41, 309, 10.1016/j.cor.2013.07.016 Ye, 2016, A computationally efficient simulation-based optimization method with region-wise surrogate modeling for stochastic inventory management of supply chains with general network structures, Comput. Chem. Eng., 87, 164, 10.1016/j.compchemeng.2016.01.015