How to cite this paper
Abdollahi, M., Arvan, M., Omidvar, A & Ameri, F. (2014). A simulation optimization approach to apply value at risk analysis on the inventory routing problem with backlogged demand.International Journal of Industrial Engineering Computations , 5(4), 603-620.
Refrences
Aviv, Y., & Federgruen, A. (1998). The operational benefits of information sharing and vendor managed inventory (VMI) programs. Olin School of Business Working Paper.
Adelman, D. (2004). A price-directed approach to stochastic inventory/routing. Operations Research, 52(4), 499-514.
Aghezzaf, E. H. (2008). Robust distribution planning for supplier-managed inventory agreements when demand rates and travel times are stationary. Journal of the Operational Research Society, 59(8), 1055-1065.
Archetti, C., Bertazzi, L., Hertz, A., & Speranza, M. G. (2012). A hybrid heuristic for an inventory routing problem. INFORMS Journal on Computing, 24(1), 101-116.
Archetti, C., Bertazzi, L., Laporte, G., & Speranza, M. G. (2007). A branch-and-cut algorithm for a vendor-managed inventory-routing problem. Transportation Science, 41(3), 382-391.
Bard, J. F., & Nananukul, N. (2009). Heuristics for a multiperiod inventory routing problem with production decisions. Computers & Industrial Engineering, 57(3), 713-723.
Bard, J. F., Huang, L., Jaillet, P., & Dror, M. (1998). A decomposition approach to the inventory routing problem with satellite facilities. Transportation science, 32(2), 189-203.
Bent, R. W., & Van Hentenryck, P. (2004). Scenario-based planning for partially dynamic vehicle routing with stochastic customers. Operations Research, 52(6), 977-987.
Berman, O., & Larson, R. C. (2001). Deliveries in an inventory/routing problem using stochastic dynamic programming. Transportation Science, 35(2), 192-213.
Bertazzi, L., Bosco, A., Guerriero, F., & Laganà, D. (2013). A stochastic inventory routing problem with stock-out. Transportation Research Part C: Emerging Technologies, 27, 89-107.
Bertazzi, L., Paletta, G., & Speranza, M. G. (2002). Deterministic order-up-to level policies in an inventory routing problem. Transportation Science, 36(1), 119-132.
C?ceres-Cruz, J., Juan, A. A., Bektas, T., Grasman, S. E., & Faulin, J. (2012, December). Combining Monte Carlo simulation with heuristics for solving the inventory routing problem with stochastic demands. In Proceedings of the Winter Simulation Conference (p. 274). Winter Simulation Conference.
Campbell, A., Clarke, L., Kleywegt, A., & Savelsbergh, M. (1998). The inventory routing problem. In Fleet management and logistics (pp. 95-113). Springer US.
Campbell, A. M., & Savelsbergh, M. W. (2004). A decomposition approach for the inventory-routing problem. Transportation Science, 38(4), 488-502.
Chen, X., Sim, M., Simchi-Levi, D., & Sun, P. (2007). Risk aversion in inventory management. Operations Research, 55(5), 828-842.
Chen, Y. M., & Lin, C. T. (2009). A coordinated approach to hedge the risks in stochastic inventory-routing problem. Computers & Industrial Engineering, 56(3), 1095-1112.
Coelho, L. C., Cordeau, J. F., & Laporte, G. (2013). Thirty years of inventory routing. Transportation Science, 48(1), 1-19.
Federgruen, A., Prastacos, G., & Zipkin, P. H. (1986). An allocation and distribution model for perishable products. Operations Research, 34(1), 75-82.
Federgruen, A., & Zipkin, P. (1984). A combined vehicle routing and inventory allocation problem. Operations Research, 32(5), 1019-1037.
Fu, M. C. (2002). Optimization for simulation: Theory vs. practice. INFORMS Journal on Computing, 14(3), 192-215.
Fu, M. C., Chen, C. H., & Shi, L. (2008, December). Some topics for simulation optimization. In Proceedings of the 40th Conference on Winter Simulation (pp. 27-38). Winter Simulation Conference.
Geiger, M. J., & Sevaux, M. (2011). Practical inventory routing: A problem definition and an optimization method. arXiv preprint arXiv:1102.5635.
Golden, B., Assad, A., & Dahl, R. (1984). Analysis of a large scale vehicle routing problem with an inventory component. Large Scale Systems, 7(2-3), 181-190.
Huang, S. H., & Lin, P. C. (2010). A modified ant colony optimization algorithm for multi-item inventory routing problems with demand uncertainty. Transportation Research Part E: Logistics and Transportation Review, 46(5), 598-611.
Hvattum, L. M., & L?kketangen, A. (2009). Using scenario trees and progressive hedging for stochastic inventory routing problems. Journal of Heuristics, 15(6), 527-557.
Hvattum, L. M., L?kketangen, A., & Laporte, G. (2007). A branch?and?regret heuristic for stochastic and dynamic vehicle routing problems. Networks, 49(4), 330-340.
Hvattum, L. M., L?kketangen, A., & Laporte, G. (2009). Scenario tree-based heuristics for stochastic inventory-routing problems. INFORMS Journal on Computing, 21(2), 268-285.
Kleywegt, A. J., Nori, V. S., & Savelsbergh, M. W. (2002). The stochastic inventory routing problem with direct deliveries. Transportation Science, 36(1), 94-118.
Kleywegt, A. J., Nori, V. S., & Savelsbergh, M. W. (2004). Dynamic programming approximations for a stochastic inventory routing problem. Transportation Science, 38(1), 42-70.
Korsvik, J. E., Fagerholt, K., & Laporte, G. (2010). A tabu search heuristic for ship routing and scheduling. Journal of the Operational Research Society, 61(4), 594-603.
Li, F., Golden, B., & Wasil, E. (2007). A record-to-record travel algorithm for solving the heterogeneous fleet vehicle routing problem. Computers & Operations Research, 34(9), 2734-2742.
Liu, S. C., & Lee, W. T. (2011). A heuristic method for the inventory routing problem with time windows. Expert Systems with Applications, 38(10), 13223-13231.
Luciano, E., Peccati, L., & Cifarelli, D. M. (2003). VaR as a risk measure for multiperiod static inventory models. International Journal of Production Economics, 81, 375-384.
Massey Jr, F. J. (1951). The Kolmogorov-Smirnov test for goodness of fit. Journal of the American statistical Association, 46(253), 68-78.
Minkoff, A. S. (1993). A Markov decision model and decomposition heuristic for dynamic vehicle dispatching. Operations Research, 41(1), 77-90.
Popovi?, D., Vidovi?, M., & Radivojevi?, G. (2012). Variable neighborhood search heuristic for the inventory routing problem in fuel delivery. Expert Systems with Applications, 39(18), 13390-13398.
Qu, W. W., Bookbinder, J. H., & Iyogun, P. (1999). An integrated inventory–transportation system with modified periodic policy for multiple products. European Journal of Operational Research, 115(2), 254-269.
Rao, J. N. K., & Scott, A. J. (1981). The analysis of categorical data from complex sample surveys: chi-squared tests for goodness of fit and independence in two-way tables. Journal of the American Statistical Association, 76(374), 221-230.
Ronen, D. (2002). Marine inventory routing: Shipments planning. Journal of the Operational Research Society, 108-114.
Schedl, M., & Strausss, C. (2011, June). A periodic routing problem with stochastic demands. In Complex, Intelligent and Software Intensive Systems (CISIS), 2011 International Conference on (pp. 350-357). IEEE.
Solyali, O., Cordeau, J. F., & Laporte, G. (2012). Robust inventory routing under demand uncertainty. Transportation Science, 46(3), 327-340.
Talbi, E. G. (2002). A taxonomy of hybrid metaheuristics. Journal of heuristics, 8(5), 541-564.
Tirado, G., Hvattum, L. M., Fagerholt, K., & Cordeau, J. F. (2013). Heuristics for dynamic and stochastic routing in industrial shipping. Computers & Operations Research, 40(1), 253-263.
Trudeau, P., & Dror, M. (1992). Stochastic inventory routing: Route design with stockouts and route failures. Transportation Science, 26(3), 171-184.
Wu, J., Li, J., Wang, S., & Cheng, T. C. E. (2009). Mean–variance analysis of the newsvendor model with stockout cost. Omega, 37(3), 724-730.
Yang, L., Gao, C., Chen, K., & Li, J. (2007). Downside risk-aversion analysis for a single-stage newsvendor problem. Wuhan University Journal of Natural Sciences, 12(2), 198-202.
Zhang, D., Xu, H., & Wu, Y. (2009). Single and multi-period optimal inventory control models with risk-averse constraints. European Journal of Operational Research, 199(2), 420-434.
Adelman, D. (2004). A price-directed approach to stochastic inventory/routing. Operations Research, 52(4), 499-514.
Aghezzaf, E. H. (2008). Robust distribution planning for supplier-managed inventory agreements when demand rates and travel times are stationary. Journal of the Operational Research Society, 59(8), 1055-1065.
Archetti, C., Bertazzi, L., Hertz, A., & Speranza, M. G. (2012). A hybrid heuristic for an inventory routing problem. INFORMS Journal on Computing, 24(1), 101-116.
Archetti, C., Bertazzi, L., Laporte, G., & Speranza, M. G. (2007). A branch-and-cut algorithm for a vendor-managed inventory-routing problem. Transportation Science, 41(3), 382-391.
Bard, J. F., & Nananukul, N. (2009). Heuristics for a multiperiod inventory routing problem with production decisions. Computers & Industrial Engineering, 57(3), 713-723.
Bard, J. F., Huang, L., Jaillet, P., & Dror, M. (1998). A decomposition approach to the inventory routing problem with satellite facilities. Transportation science, 32(2), 189-203.
Bent, R. W., & Van Hentenryck, P. (2004). Scenario-based planning for partially dynamic vehicle routing with stochastic customers. Operations Research, 52(6), 977-987.
Berman, O., & Larson, R. C. (2001). Deliveries in an inventory/routing problem using stochastic dynamic programming. Transportation Science, 35(2), 192-213.
Bertazzi, L., Bosco, A., Guerriero, F., & Laganà, D. (2013). A stochastic inventory routing problem with stock-out. Transportation Research Part C: Emerging Technologies, 27, 89-107.
Bertazzi, L., Paletta, G., & Speranza, M. G. (2002). Deterministic order-up-to level policies in an inventory routing problem. Transportation Science, 36(1), 119-132.
C?ceres-Cruz, J., Juan, A. A., Bektas, T., Grasman, S. E., & Faulin, J. (2012, December). Combining Monte Carlo simulation with heuristics for solving the inventory routing problem with stochastic demands. In Proceedings of the Winter Simulation Conference (p. 274). Winter Simulation Conference.
Campbell, A., Clarke, L., Kleywegt, A., & Savelsbergh, M. (1998). The inventory routing problem. In Fleet management and logistics (pp. 95-113). Springer US.
Campbell, A. M., & Savelsbergh, M. W. (2004). A decomposition approach for the inventory-routing problem. Transportation Science, 38(4), 488-502.
Chen, X., Sim, M., Simchi-Levi, D., & Sun, P. (2007). Risk aversion in inventory management. Operations Research, 55(5), 828-842.
Chen, Y. M., & Lin, C. T. (2009). A coordinated approach to hedge the risks in stochastic inventory-routing problem. Computers & Industrial Engineering, 56(3), 1095-1112.
Coelho, L. C., Cordeau, J. F., & Laporte, G. (2013). Thirty years of inventory routing. Transportation Science, 48(1), 1-19.
Federgruen, A., Prastacos, G., & Zipkin, P. H. (1986). An allocation and distribution model for perishable products. Operations Research, 34(1), 75-82.
Federgruen, A., & Zipkin, P. (1984). A combined vehicle routing and inventory allocation problem. Operations Research, 32(5), 1019-1037.
Fu, M. C. (2002). Optimization for simulation: Theory vs. practice. INFORMS Journal on Computing, 14(3), 192-215.
Fu, M. C., Chen, C. H., & Shi, L. (2008, December). Some topics for simulation optimization. In Proceedings of the 40th Conference on Winter Simulation (pp. 27-38). Winter Simulation Conference.
Geiger, M. J., & Sevaux, M. (2011). Practical inventory routing: A problem definition and an optimization method. arXiv preprint arXiv:1102.5635.
Golden, B., Assad, A., & Dahl, R. (1984). Analysis of a large scale vehicle routing problem with an inventory component. Large Scale Systems, 7(2-3), 181-190.
Huang, S. H., & Lin, P. C. (2010). A modified ant colony optimization algorithm for multi-item inventory routing problems with demand uncertainty. Transportation Research Part E: Logistics and Transportation Review, 46(5), 598-611.
Hvattum, L. M., & L?kketangen, A. (2009). Using scenario trees and progressive hedging for stochastic inventory routing problems. Journal of Heuristics, 15(6), 527-557.
Hvattum, L. M., L?kketangen, A., & Laporte, G. (2007). A branch?and?regret heuristic for stochastic and dynamic vehicle routing problems. Networks, 49(4), 330-340.
Hvattum, L. M., L?kketangen, A., & Laporte, G. (2009). Scenario tree-based heuristics for stochastic inventory-routing problems. INFORMS Journal on Computing, 21(2), 268-285.
Kleywegt, A. J., Nori, V. S., & Savelsbergh, M. W. (2002). The stochastic inventory routing problem with direct deliveries. Transportation Science, 36(1), 94-118.
Kleywegt, A. J., Nori, V. S., & Savelsbergh, M. W. (2004). Dynamic programming approximations for a stochastic inventory routing problem. Transportation Science, 38(1), 42-70.
Korsvik, J. E., Fagerholt, K., & Laporte, G. (2010). A tabu search heuristic for ship routing and scheduling. Journal of the Operational Research Society, 61(4), 594-603.
Li, F., Golden, B., & Wasil, E. (2007). A record-to-record travel algorithm for solving the heterogeneous fleet vehicle routing problem. Computers & Operations Research, 34(9), 2734-2742.
Liu, S. C., & Lee, W. T. (2011). A heuristic method for the inventory routing problem with time windows. Expert Systems with Applications, 38(10), 13223-13231.
Luciano, E., Peccati, L., & Cifarelli, D. M. (2003). VaR as a risk measure for multiperiod static inventory models. International Journal of Production Economics, 81, 375-384.
Massey Jr, F. J. (1951). The Kolmogorov-Smirnov test for goodness of fit. Journal of the American statistical Association, 46(253), 68-78.
Minkoff, A. S. (1993). A Markov decision model and decomposition heuristic for dynamic vehicle dispatching. Operations Research, 41(1), 77-90.
Popovi?, D., Vidovi?, M., & Radivojevi?, G. (2012). Variable neighborhood search heuristic for the inventory routing problem in fuel delivery. Expert Systems with Applications, 39(18), 13390-13398.
Qu, W. W., Bookbinder, J. H., & Iyogun, P. (1999). An integrated inventory–transportation system with modified periodic policy for multiple products. European Journal of Operational Research, 115(2), 254-269.
Rao, J. N. K., & Scott, A. J. (1981). The analysis of categorical data from complex sample surveys: chi-squared tests for goodness of fit and independence in two-way tables. Journal of the American Statistical Association, 76(374), 221-230.
Ronen, D. (2002). Marine inventory routing: Shipments planning. Journal of the Operational Research Society, 108-114.
Schedl, M., & Strausss, C. (2011, June). A periodic routing problem with stochastic demands. In Complex, Intelligent and Software Intensive Systems (CISIS), 2011 International Conference on (pp. 350-357). IEEE.
Solyali, O., Cordeau, J. F., & Laporte, G. (2012). Robust inventory routing under demand uncertainty. Transportation Science, 46(3), 327-340.
Talbi, E. G. (2002). A taxonomy of hybrid metaheuristics. Journal of heuristics, 8(5), 541-564.
Tirado, G., Hvattum, L. M., Fagerholt, K., & Cordeau, J. F. (2013). Heuristics for dynamic and stochastic routing in industrial shipping. Computers & Operations Research, 40(1), 253-263.
Trudeau, P., & Dror, M. (1992). Stochastic inventory routing: Route design with stockouts and route failures. Transportation Science, 26(3), 171-184.
Wu, J., Li, J., Wang, S., & Cheng, T. C. E. (2009). Mean–variance analysis of the newsvendor model with stockout cost. Omega, 37(3), 724-730.
Yang, L., Gao, C., Chen, K., & Li, J. (2007). Downside risk-aversion analysis for a single-stage newsvendor problem. Wuhan University Journal of Natural Sciences, 12(2), 198-202.
Zhang, D., Xu, H., & Wu, Y. (2009). Single and multi-period optimal inventory control models with risk-averse constraints. European Journal of Operational Research, 199(2), 420-434.