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Forecast horizons for a two-echelon dynamic lot-sizing problem

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  • Jing, Fuying
  • Chao, Xiangrui

Abstract

This paper examines the forecast horizons under the settings of two-echelon dynamic lot-sizing models with durable and perishable products, where the first echelon also has its own external demands. In the model of durable products, inventory costs are age-independent. In the model of perishable products, inventory deterioration and costs are age-dependent. On the basis of certain significant properties in an optimal solution, forward dynamic programming algorithms are developed for solving the two models of durable and perishable products. Furthermore, we establish monotone properties of production and regeneration points and provide sufficient conditions to obtain forecast horizons under two cases of durable and perishable products. By conducting several numerical experiments, managerial insights are obtained regarding the influence of integrated decision, external demands at the first echelon, perishability and costs’ parameters on forecast horizons. A rolling horizon decision-making is an easy-to-use practice in dynamic lot-sizing problems. We test the performance of the rolling horizon approach in a numerical experiment.

Suggested Citation

  • Jing, Fuying & Chao, Xiangrui, 2022. "Forecast horizons for a two-echelon dynamic lot-sizing problem," Omega, Elsevier, vol. 110(C).
  • Handle: RePEc:eee:jomega:v:110:y:2022:i:c:s0305048322000226
    DOI: 10.1016/j.omega.2022.102613
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    as
    1. Hark-Chin Hwang & Hyun-Soo Ahn & Philip Kaminsky, 2013. "Basis Paths and a Polynomial Algorithm for the Multistage Production-Capacitated Lot-Sizing Problem," Operations Research, INFORMS, vol. 61(2), pages 469-482, April.
    2. Önal, Mehmet & Romeijn, H.Edwin & Sapra, Amar & van den Heuvel, Wilco, 2015. "The economic lot-sizing problem with perishable items and consumption order preference," European Journal of Operational Research, Elsevier, vol. 244(3), pages 881-891.
    3. Stadtler, Hartmut, 2003. "Multilevel lot sizing with setup times and multiple constrained resources: Internally rolling schedules with lot-sizing windows," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 20204, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Jaruphongsa, Wikrom & Cetinkaya, Sila & Lee, Chung-Yee, 2004. "Warehouse space capacity and delivery time window considerations in dynamic lot-sizing for a simple supply chain," International Journal of Production Economics, Elsevier, vol. 92(2), pages 169-180, November.
    5. VAN VYVE, Mathieu & WOLSEY, Laurence A & YAMAN, Hande, 2014. "Relaxations for two-level multi-item lot-sizing problems," LIDAM Reprints CORE 2611, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Salah E. Elmaghraby & Vishwas Y. Bawle, 1972. "Optimization of Batch Ordering under Deterministic Variable Demand," Management Science, INFORMS, vol. 18(9), pages 508-517, May.
    7. Robert L. Smith & Rachel Q. Zhang, 1998. "Infinite Horizon Production Planning in Time-Varying Systems with Convex Production and Inventory Costs," Management Science, INFORMS, vol. 44(9), pages 1313-1320, September.
    8. Qiu, Yuzhuo & Qiao, Jun & Pardalos, Panos M., 2019. "Optimal production, replenishment, delivery, routing and inventory management policies for products with perishable inventory," Omega, Elsevier, vol. 82(C), pages 193-204.
    9. Helber, Stefan & Sahling, Florian, 2010. "A fix-and-optimize approach for the multi-level capacitated lot sizing problem," International Journal of Production Economics, Elsevier, vol. 123(2), pages 247-256, February.
    10. Gayon, J.-P. & Massonnet, G. & Rapine, C. & Stauffer, G., 2016. "Constant approximation algorithms for the one warehouse multiple retailers problem with backlog or lost-sales," European Journal of Operational Research, Elsevier, vol. 250(1), pages 155-163.
    11. Hwang, Hark-Chin & Kang, Jangha, 2020. "The two-level lot-sizing problem with outbound shipment," Omega, Elsevier, vol. 90(C).
    12. Francesco Gaglioppa & Lisa A. Miller & Saif Benjaafar, 2008. "Multitask and Multistage Production Planning and Scheduling for Process Industries," Operations Research, INFORMS, vol. 56(4), pages 1010-1025, August.
    13. Hark-Chin Hwang & Hyun-Soo Ahn & Philip Kaminsky, 2016. "Algorithms for the two-stage production-capacitated lot-sizing problem," Journal of Global Optimization, Springer, vol. 65(4), pages 777-799, August.
    14. Jing, Fuying & Chao, Xiangrui, 2021. "A dynamic lot size model with perishable inventory and stockout," Omega, Elsevier, vol. 103(C).
    15. Teunter, Ruud & Tang, Ou & Kaparis, Konstantinos, 2009. "Heuristics for the economic lot scheduling problem with returns," International Journal of Production Economics, Elsevier, vol. 118(1), pages 323-330, March.
    16. Joseph Begnaud & Saif Benjaafar & Lisa Miller, 2009. "The multi-level lot sizing problem with flexible production sequences," IISE Transactions, Taylor & Francis Journals, vol. 41(8), pages 702-715.
    17. 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.
    18. 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.
    19. Hartmut Stadtler, 2003. "Multilevel Lot Sizing with Setup Times and Multiple Constrained Resources: Internally Rolling Schedules with Lot-Sizing Windows," Operations Research, INFORMS, vol. 51(3), pages 487-502, June.
    20. Ming Zhao & Minjiao Zhang, 2020. "Multiechelon Lot Sizing: New Complexities and Inequalities," Operations Research, INFORMS, vol. 68(2), pages 534-551, March.
    21. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    22. Stadtler, Hartmut, 2011. "Multi-level single machine lot-sizing and scheduling with zero lead times," European Journal of Operational Research, Elsevier, vol. 209(3), pages 241-252, March.
    23. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    24. Ventura, José A. & Valdebenito, Victor A. & Golany, Boaz, 2013. "A dynamic inventory model with supplier selection in a serial supply chain structure," European Journal of Operational Research, Elsevier, vol. 230(2), pages 258-271.
    25. Tian, Xiaoyu & Zhang, Zhi-Hai, 2019. "Capacitated disassembly scheduling and pricing of returned products with price-dependent yield," Omega, Elsevier, vol. 84(C), pages 160-174.
    26. Li, Ruihai & Teng, Jinn-Tsair, 2018. "Pricing and lot-sizing decisions for perishable goods when demand depends on selling price, reference price, product freshness, and displayed stocks," European Journal of Operational Research, Elsevier, vol. 270(3), pages 1099-1108.
    27. Ng, C.T. & Kovalyov, Mikhail Y. & Cheng, T.C.E., 2010. "A simple FPTAS for a single-item capacitated economic lot-sizing problem with a monotone cost structure," European Journal of Operational Research, Elsevier, vol. 200(2), pages 621-624, January.
    28. Dawande, Milind & Gavirneni, Srinagesh & Naranpanawe, Sanjeewa & Sethi, Suresh P., 2009. "Discrete forecast horizons for two-product variants of the dynamic lot-size problem," International Journal of Production Economics, Elsevier, vol. 120(2), pages 430-436, August.
    29. Suresh Chand & Vernon Ning Hsu & Suresh Sethi, 2002. "Forecast, Solution, and Rolling Horizons in Operations Management Problems: A Classified Bibliography," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 25-43, September.
    30. Rolf A. Lundin & Thomas E. Morton, 1975. "Planning Horizons for the Dynamic Lot Size Model: Zabel vs. Protective Procedures and Computational Results," Operations Research, INFORMS, vol. 23(4), pages 711-734, August.
    31. Sunantha Teyarachakul & Suresh Chand & Michal Tzur, 2016. "Lot sizing with learning and forgetting in setups: Analytical results and insights," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(2), pages 93-108, March.
    32. MELO, Rafael A. & WOLSEY, Laurence A., 2010. "Uncapacitated two-level lot-sizing," LIDAM Reprints CORE 2235, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    33. Chung-Yee Lee & Sila Çetinkaya & Wikrom Jaruphongsa, 2003. "A Dynamic Model for Inventory Lot Sizing and Outbound Shipment Scheduling at a Third-Party Warehouse," Operations Research, INFORMS, vol. 51(5), pages 735-747, October.
    34. 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.
    35. Pan, Zhendong & Tang, Jiafu & Liu, Ou, 2009. "Capacitated dynamic lot sizing problems in closed-loop supply chain," European Journal of Operational Research, Elsevier, vol. 198(3), pages 810-821, November.
    36. Ayşe N. Arslan & Jean‐Philippe P. Richard & Yongpei Guan, 2016. "On the polyhedral structure of two‐level lot‐sizing problems with supplier selection," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(8), pages 647-666, December.
    37. Oguz Solyali & Meltem Denizel & Haldun Süral, 2016. "Effective network formulations for lot sizing with backlogging in two-level serial supply chains," IISE Transactions, Taylor & Francis Journals, vol. 48(2), pages 146-157, February.
    38. Leon Yang Chu & Vernon Ning Hsu & Zuo‐Jun Max Shen, 2005. "An economic lot‐sizing problem with perishable inventory and economies of scale costs: Approximation solutions and worst case analysis," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 536-548, September.
    39. Ullah, Mehran & Sarkar, Biswajit, 2020. "Recovery-channel selection in a hybrid manufacturing-remanufacturing production model with RFID and product quality," International Journal of Production Economics, Elsevier, vol. 219(C), pages 360-374.
    40. Amit Bardhan & Milind Dawande & Srinagesh Gavirneni & Yinping Mu & Suresh Sethi, 2013. "Forecast and rolling horizons under demand substitution and production changeovers: analysis and insights," IISE Transactions, Taylor & Francis Journals, vol. 45(3), pages 323-340.
    41. Suresh Chand, 1983. "Rolling Horizon Procedures for the Facilities in Series Inventory Model with Nested Schedules," Management Science, INFORMS, vol. 29(2), pages 237-249, February.
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