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A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time

Citations

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Cited by:

  1. van den Heuvel, W.J. & Wagelmans, A.P.M., 2008. "A holding cost bound for the economic lot-sizing problem with time-invariant cost parameters," Econometric Institute Research Papers EI 2008-10, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  2. Hark‐Chin Hwang & Wilco van den Heuvel, 2012. "Improved algorithms for a lot‐sizing problem with inventory bounds and backlogging," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(3‐4), pages 244-253, April.
  3. Heuvel, Wilco van den & Borm, Peter & Hamers, Herbert, 2007. "Economic lot-sizing games," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1117-1130, January.
  4. Marshall Fisher & Kamalini Ramdas & Yu-Sheng Zheng, 2001. "Ending Inventory Valuation in Multiperiod Production Scheduling," Management Science, INFORMS, vol. 47(5), pages 679-692, May.
  5. Drexl, Andreas & Kimms, Alf, 1996. "Lot sizing and scheduling: Survey and extensions," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 421, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  6. A.P.M. Wagelmans & A.E. Gerodimos, 1999. "Improved Dynamic Programs for Some Batching Problems involving the Maximum Lateness Criterion," Tinbergen Institute Discussion Papers 99-036/4, Tinbergen Institute.
  7. François Vanderbeck, 1998. "Lot-Sizing with Start-Up Times," Management Science, INFORMS, vol. 44(10), pages 1409-1425, October.
  8. Siao-Leu Phouratsamay & Safia Kedad-Sidhoum & Fanny Pascual, 2021. "Coordination of a two-level supply chain with contracts," 4OR, Springer, vol. 19(2), pages 235-264, June.
  9. Tempelmeier, Horst, 2007. "On the stochastic uncapacitated dynamic single-item lotsizing problem with service level constraints," European Journal of Operational Research, Elsevier, vol. 181(1), pages 184-194, August.
  10. Wolosewicz, Cathy & Dauzère-Pérès, Stéphane & Aggoune, Riad, 2015. "A Lagrangian heuristic for an integrated lot-sizing and fixed scheduling problem," European Journal of Operational Research, Elsevier, vol. 244(1), pages 3-12.
  11. Guan, Yongpei & Liu, Tieming, 2010. "Stochastic lot-sizing problem with inventory-bounds and constant order-capacities," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1398-1409, December.
  12. Karla E. Bourland & Candace Arai Yano, 1996. "Lot sizing when yields increase during the production run," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1035-1047, December.
  13. Hark-Chin Hwang, 2009. "Inventory Replenishment and Inbound Shipment Scheduling Under a Minimum Replenishment Policy," Transportation Science, INFORMS, vol. 43(2), pages 244-264, May.
  14. José M. Gutiérrez & Beatriz Abdul-Jalbar & Joaquín Sicilia & Inmaculada Rodríguez-Martín, 2021. "Effective Algorithms for the Economic Lot-Sizing Problem with Bounded Inventory and Linear Fixed-Charge Cost Structure," Mathematics, MDPI, vol. 9(6), pages 1-21, March.
  15. Martel, Alain & Gascon, Andre, 1998. "Dynamic lot-sizing with price changes and price-dependent holding costs," European Journal of Operational Research, Elsevier, vol. 111(1), pages 114-128, November.
  16. Wilco van den Heuvel & Albert P.M. Wagelmans, 2002. "A Note on Ending Inventory Valuation in Multiperiod Production Scheduling," Tinbergen Institute Discussion Papers 02-067/4, Tinbergen Institute.
  17. Suzanne, Elodie & Absi, Nabil & Borodin, Valeria & van den Heuvel, Wilco, 2020. "A single-item lot-sizing problem with a by-product and inventory capacities," European Journal of Operational Research, Elsevier, vol. 287(3), pages 844-855.
  18. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
  19. Chung-Yee Lee & Sila Çetinkaya & Albert P. M. Wagelmans, 2001. "A Dynamic Lot-Sizing Model with Demand Time Windows," Management Science, INFORMS, vol. 47(10), pages 1384-1395, October.
  20. Lee, Younsoo & Lee, Kyungsik, 2022. "New integer optimization models and an approximate dynamic programming algorithm for the lot-sizing and scheduling problem with sequence-dependent setups," European Journal of Operational Research, Elsevier, vol. 302(1), pages 230-243.
  21. Awi Federgruen & Joern Meissner, 2009. "Competition under time‐varying demands and dynamic lot sizing costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(1), pages 57-73, February.
  22. Jinwen Ou, 2012. "Economic lot sizing with constant capacities and concave inventory costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(7), pages 497-501, October.
  23. Zhang, Zhi-Hai & Jiang, Hai & Pan, Xunzhang, 2012. "A Lagrangian relaxation based approach for the capacitated lot sizing problem in closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 140(1), pages 249-255.
  24. Milind Dawande & Srinagesh Gavirneni & Sanjeewa Naranpanawe & Suresh Sethi, 2007. "Forecast Horizons for a Class of Dynamic Lot-Size Problems Under Discrete Future Demand," Operations Research, INFORMS, vol. 55(4), pages 688-702, August.
  25. Minjiao Zhang & Simge Küçükyavuz & Hande Yaman, 2012. "A Polyhedral Study of Multiechelon Lot Sizing with Intermediate Demands," Operations Research, INFORMS, vol. 60(4), pages 918-935, August.
  26. Fink, Jiří & Hurink, Johann L., 2015. "Minimizing costs is easier than minimizing peaks when supplying the heat demand of a group of houses," European Journal of Operational Research, Elsevier, vol. 242(2), pages 644-650.
  27. Romeijn, H.E. & van den Heuvel, W.J. & Geunes, J., 2012. "Mitigating the Cost of Anarchy in Supply Chain Systems," Econometric Institute Research Papers EI 2012-03, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  28. Hartmut Stadtler, 2000. "Improved Rolling Schedules for the Dynamic Single-Level Lot-Sizing Problem," Management Science, INFORMS, vol. 46(2), pages 318-326, February.
  29. Chung-Yee Lee & Sila Çetinkaya & Albert P.M. Wagelmans, 1999. "A Dynamic Lot-Sizing Model with Demand Time Windows," Tinbergen Institute Discussion Papers 99-095/4, Tinbergen Institute.
  30. VAN VYVE, Mathieu & WOLSEY, Laurence & YAMAN, Hande, 2012. "Relaxations for two-level multi-item lot-sizing problem," LIDAM Discussion Papers CORE 2012031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  31. H. Edwin Romeijn & Dolores Romero Morales & Wilco Van den Heuvel, 2014. "Computational complexity of finding Pareto efficient outcomes for biobjective lot‐sizing models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(5), pages 386-402, August.
  32. van Hoesel, S. & Romeijn, H.E. & Romero Morales, D. & Wagelmans, A.P.M., 2002. "Polynomial Time Algorithms For Some Multi-Level Lot-Sizing Problems With Production Capacities," ERIM Report Series Research in Management ERS-2002-59-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  33. Olivier Pereira & Laurence Wolsey, 2001. "On the Wagner-Whitin Lot-Sizing Polyhedron," Mathematics of Operations Research, INFORMS, vol. 26(3), pages 591-600, August.
  34. Beatriz Abdul-Jalbar & Roberto Dorta-Guerra & José M. Gutiérrez & Joaquín Sicilia, 2021. "Production/Inventory Policies for a Two-Echelon System with Credit Period Incentives," Mathematics, MDPI, vol. 9(15), pages 1-25, July.
  35. Xiao Liu & Simge Küçükyavuz, 2018. "A polyhedral study of the static probabilistic lot-sizing problem," Annals of Operations Research, Springer, vol. 261(1), pages 233-254, February.
  36. van den Heuvel, W. & Wagelmans, A.P.M., 2003. "A Geometric Algorithm to solve the NI/G/NI/ND Capacitated Lot-Sizing Problem in O(T^2) Time," ERIM Report Series Research in Management ERS-2003-066-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  37. Atamturk, Alper & Munoz, Juan Carlos, 2002. "A Study of the Lot-Sizing Polytope," University of California Transportation Center, Working Papers qt6zz2g0z4, University of California Transportation Center.
  38. Johansen, Soren Glud, 1999. "Lot sizing for varying degrees of demand uncertainty," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 405-414, March.
  39. Bian, Yuan & Lemoine, David & Yeung, Thomas G. & Bostel, Nathalie & Hovelaque, Vincent & Viviani, Jean-laurent & Gayraud, Fabrice, 2018. "A dynamic lot-sizing-based profit maximization discounted cash flow model considering working capital requirement financing cost with infinite production capacity," International Journal of Production Economics, Elsevier, vol. 196(C), pages 319-332.
  40. TELHA, Claudio & VAN VYVE, Matthieu, 2014. "Efficient approximation algorithms for the economic lot-sizing in continuous time," LIDAM Discussion Papers CORE 2014016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  41. Farhat, Mlouka & Akbalik, Ayse & Hadj-Alouane, Atidel B. & Sauer, Nathalie, 2019. "Lot sizing problem with batch ordering under periodic buyback contract and lost sales," International Journal of Production Economics, Elsevier, vol. 208(C), pages 500-511.
  42. Passchyn, Ward & Coene, Sofie & Briskorn, Dirk & Hurink, Johann L. & Spieksma, Frits C.R. & Vanden Berghe, Greet, 2016. "The lockmaster’s problem," European Journal of Operational Research, Elsevier, vol. 251(2), pages 432-441.
  43. Ming Zhao & Minjiao Zhang, 2020. "Multiechelon Lot Sizing: New Complexities and Inequalities," Operations Research, INFORMS, vol. 68(2), pages 534-551, March.
  44. Awi Federgruen & Joern Meissner & Michal Tzur, 2007. "Progressive Interval Heuristics for Multi-Item Capacitated Lot-Sizing Problems," Operations Research, INFORMS, vol. 55(3), pages 490-502, June.
  45. Kavindra Malik & Yufei Wang, 1993. "An improved algorithm for the dynamic lot‐sizing problem with learning effect in setups," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(7), pages 925-931, December.
  46. Castelli, Lorenzo & Pesenti, Raffaele & Ukovich, Walter, 2004. "Scheduling multimodal transportation systems," European Journal of Operational Research, Elsevier, vol. 155(3), pages 603-615, June.
  47. Roger M. Hill, 1997. "Note: Dynamic lot sizing for a finite rate input process," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(2), pages 221-228, March.
  48. Goisque, Guillaume & Rapine, Christophe, 2017. "An efficient algorithm for the 2-level capacitated lot-sizing problem with identical capacities at both levels," European Journal of Operational Research, Elsevier, vol. 261(3), pages 918-928.
  49. Drexl, Andreas & Jordan, Carsten & Kimms, Alf, 1997. "Gruppierungs- und Reihenfolgeprobleme in der Fertigung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 447, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  50. Gutiérrez, J. & Sedeí±o-Noda, A. & Colebrook, M. & Sicilia, J., 2008. "An efficient approach for solving the lot-sizing problem with time-varying storage capacities," European Journal of Operational Research, Elsevier, vol. 189(3), pages 682-693, September.
  51. Ozdamar, Linet & Barbarosoglu, Gulay, 2000. "An integrated Lagrangean relaxation-simulated annealing approach to the multi-level multi-item capacitated lot sizing problem," International Journal of Production Economics, Elsevier, vol. 68(3), pages 319-331, December.
  52. Rita Vachani, 1992. "Performance of heuristics for the uncapacitated lot‐size problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 801-813, October.
  53. van den Heuvel, W., 2004. "On the complexity of the economic lot-sizing problem with remanufacturing options," Econometric Institute Research Papers EI 2004-46, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  54. Drexl, Andreas & Haase, Knut, 1992. "A new type of model for multi-item capacitated dynamic lotsizing and scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 286, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  55. Hoesel, C. P. M. Van & Wagelmans, A. P. M., 2000. "Parametric analysis of setup cost in the economic lot-sizing model without speculative motives," International Journal of Production Economics, Elsevier, vol. 66(1), pages 13-22, June.
  56. Alper Atamtürk & Dorit S. Hochbaum, 2001. "Capacity Acquisition, Subcontracting, and Lot Sizing," Management Science, INFORMS, vol. 47(8), pages 1081-1100, August.
  57. Archetti, Claudia & Bertazzi, Luca & Grazia Speranza, M., 2014. "Polynomial cases of the economic lot sizing problem with cost discounts," European Journal of Operational Research, Elsevier, vol. 237(2), pages 519-527.
  58. Fangruo Chen & Awi Federgruen & Yu-Sheng Zheng, 2001. "Near-Optimal Pricing and Replenishment Strategies for a Retail/Distribution System," Operations Research, INFORMS, vol. 49(6), pages 839-853, December.
  59. Stan van Hoesel & H. Edwin Romeijn & Dolores Romero Morales & Albert P. M. Wagelmans, 2005. "Integrated Lot Sizing in Serial Supply Chains with Production Capacities," Management Science, INFORMS, vol. 51(11), pages 1706-1719, November.
  60. A Diponegoro & B R Sarker, 2007. "Operations policy for a supply chain system with fixed-interval delivery and linear demand," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 901-910, July.
  61. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
  62. Hwang, Hark-Chin & Kang, Jangha, 2021. "An improved algorithm for the lot-sizing problem with outbound shipment," Omega, Elsevier, vol. 100(C).
  63. Hwang, Hark-Chin & Kang, Jangha, 2016. "Two-phase algorithm for the lot-sizing problem with backlogging for stepwise transportation cost without speculative motives," Omega, Elsevier, vol. 59(PB), pages 238-250.
  64. van den Heuvel, Wilco & Wagelmans, Albert P.M., 2006. "A polynomial time algorithm for a deterministic joint pricing and inventory model," European Journal of Operational Research, Elsevier, vol. 170(2), pages 463-480, April.
  65. Azaron, Amir & Tang, Ou & Tavakkoli-Moghaddam, Reza, 2009. "Dynamic lot sizing problem with continuous-time Markovian production cost," International Journal of Production Economics, Elsevier, vol. 120(2), pages 607-612, August.
  66. Awi Federgruen & Michal Tzur, 1993. "The dynamic lot‐sizing model with backlogging: A simple o(n log n) algorithm and minimal forecast horizon procedure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 459-478, June.
  67. Stan van Hoesel & H. Edwin Romeijn & Dolores Romero Morales & Albert P.M. Wagelmans, 2002. "Polynomial Time Algorithms for Some Multi-Level Lot-Sizing Problems with Production Capacities," Tinbergen Institute Discussion Papers 02-066/4, Tinbergen Institute.
  68. Kimms, Alf & Drexl, Andreas, 1996. "Multi-level lot sizing: A literature survey," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 405, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
  69. Herbert Meyr & Mirko Kiel, 2022. "Minimizing setups and waste when printing labels of consumer goods," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 733-761, September.
  70. Hark-Chin Hwang, 2010. "Economic Lot-Sizing for Integrated Production and Transportation," Operations Research, INFORMS, vol. 58(2), pages 428-444, April.
  71. Jian Yang & Xiangtong Qi & Gang Yu, 2005. "Disruption management in production planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 420-442, August.
  72. Grubbström, Robert W., 2014. "Dynamic lotsizing with a finite production rate," International Journal of Production Economics, Elsevier, vol. 149(C), pages 68-79.
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  77. Yongpei Guan & Andrew J. Miller, 2008. "Polynomial-Time Algorithms for Stochastic Uncapacitated Lot-Sizing Problems," Operations Research, INFORMS, vol. 56(5), pages 1172-1183, October.
  78. Archis Ghate & Robert L. Smith, 2009. "Optimal Backlogging Over an Infinite Horizon Under Time-Varying Convex Production and Inventory Costs," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 362-368, June.
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  80. Nadjib Brahimi & Stéphane Dauzère-Pérès & Najib M. Najid, 2006. "Capacitated Multi-Item Lot-Sizing Problems with Time Windows," Operations Research, INFORMS, vol. 54(5), pages 951-967, October.
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  92. van Hoesel, C.P.M. & Romeijn, H.E. & Romero Morales, M.D. & Wagelmans, A., 2002. "Polynomial time algorithms for some multi-level lot-sizing problems with production capacities," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  93. repec:ems:eureir:1796 is not listed on IDEAS
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  115. Atamturk, Alper & Munoz, Juan Carlos, 2002. "A Study of the Lot-Sizing Polytope," University of California Transportation Center, Working Papers qt9gx170tx, University of California Transportation Center.
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