基于优化模型求解方法的多级供应链生产-库存研究进展与趋势

摘要/Abstract

摘要：

多级生产-库存系统协调运营是供应链运作的重点问题，由现实问题抽象出优化模型，能通过各种求解方法得出运营结果。本文从解析法、数学规划法、启发式算法、其他运筹方法4个方面对多级生产-库存问题的研究文献进行归纳与分析，总结多级生产-库存问题求解方法的研究进展，发现未来研究新趋势。

关键词: 优化模型, 多级生产-库存, 解析法, 数学规划法, 启发式算法

Abstract:

Multi-level production inventory system coordination is an important problem for the supply chain operation. The optimization model from the realistic problem can be determined through a variety of solving methods. With the research literature of multi-level production inventory summed up based on the analytical method, the mathematical programming method, heuristic algorithm and other operation methods are analyzed. In conclusion the research progress of the solving method for multi-level production-inventory is summed up, and the new trend of future research is predicted.

Key words: optimization model, multi-level production-inventory, analytical method, mathematical programming, heuristic algorithm

蓝海燕. 基于优化模型求解方法的多级供应链生产-库存研究进展与趋势[J]. 工业工程.

LAN Haiyan . Research Progress and Trend of Production inventory in Multi-level Supply Chain Based on the Solving Method for Optimization Model[J]. Industrial Engineering Journal .

参考文献

［1］CLARK A J, SCARF H. Optimal policies for a multiechelon inventory problem［J］. Management Science, 1960, 6(4): 475-490.
［2］FEDERGRUEN A, ZIPKIN P. Computational issues in an infinite horizon, multiechelon inventory model［J］.Operations Research, 1984, 32(4):818-836.
［3］CHEN F, ZHENG Y S. Lower bounds for multiechelon stochastic inventory systems［J］. Management Science, 1994, 40(11):1426-1443.
［4］CHEN F, ZHENG Y S. Evaluating echelon stock (R, nQ) policies in serial production/inventory systems with stochastic demand［J］. Management Science, 1994, 40(10): 1262-1275.
［5］CHEN F, ZHENG Y S. Onewarehouse multiretailer systems with centralized stock information［J］. Operations Research, 1997, 45（2）:275-287.
［6］夏海洋, 黄培清. 随机需求下提前期可控的生产库存联合优化模型［J］. 控制与决策, 2008, 23(6): 631-636.
XIA Haiyang, HUANG Peiqing. Integrated productioninventory model with stochastic demand and controllable lead time［J］. Control and Decision, 2008, 06:631-636
［7］HOUTUM G J V, INDERFURTH K, ZIJM W H M. Materials coordination in stochastic multiechelon systems［J］. European Journal of Operational Research, 1996, 95（1）:1-23.
［8］ANGELUS A. A multiechelon inventory problem with secondary market sales［J］. Management Science, 2011, 57(12):2145-2162.
［9］GOEL A, GUTIERREZ G J. Multiechelon procurement and distribution policies for traded commodities［J］. Management Science, 2011, 57(12): 2228-2244.
［10］PAL B, SANA S S, CHAUDHURI K. A three layer multi-item production-inventory model for multiple suppliers and retailers［J］. Economic Modelling, 2012, 29（6）: 2704-2710.
［11］GHIAMI Y, WILLIAMS T. A two-echelon production-inventory model for deteriorating items with multiple buyers［J］. International Journal of Production Economics, 2015, 159: 233-240.
［12］戢守峰,蓝海燕,唐金环,等. 碳限额与碳交易约束下制造商生产库存控制策略［J］. 运筹与管理,2015（3）:51-59.
JI Shoufeng, LAN Haiyan, TANG Jinhuan, et al. Manufacturers of productioninventory control strategy under carbon capandtrade mechanism［J］. Operations Research and Management Science, 2015（3）: 51-59.
［13］KALCHSCHMIDT M, ZOTTERI G, VERGANTI R. Inventory management in a multiechelon spare parts supply chain［J］. International Journal of Production Economics, 2003，81/82:397-413.
［14］PAL B, SANA S S, CHAUDHURI K. A multi-echelon supply chain model for reworkable items in multiple-markets with supply disruption［J］. Economic Modelling, 2012, 29（5）:1891-1898.
［15］SAJADIEH M S, FALLAHNEZHAD M, KHOSRAVI M. A joint optimal policy for a multiplesuppliers multiplemanufacturers multipleretailers system［J］. International Journal of Production Economics, 2013, 146（2）: 738-744.
［16］ZAVANELLA L, ZANONI S. A one-vendor multi-buyer integrated production-inventory model: the ‘consignment stock’ case［J］. International Journal of Production Economics, 2009，118(1): 225-232.
［17］PARK S, LEE T E, SUNG C S. A threelevel supply chain network design model with riskpooling and lead times［J］. Transportation Research Part E, 2010, 46（5）: 563581.
［18］王圣东. 单供货商多销售商联合生产库存模型［J］. 系统工程学报, 2006, 21(1): 92-96.
WANG Shengdong. Production inventory models for a one-vendor multi-buyer integrated system［J］. Journal of Systems Engineering, 2006, 21(1): 9296.
［19］LI J X, CHU F, CHEN H X. Coordination of split deliveries in one-warehouse multi-retailer distribution systems［J］. Computers & Industrial Engineering, 2011(60): 291-301.
［20］TANCREZ J S, LANGE J C, SEMAL P. A locationinventory model for large three-level supply chains［J］. Transportation Research Part E, 2012, 48（2）:485-502.
［21］JHA J K, SHANKER K. Single-vendor multi-buyer integrated production-inventory model with controllable lead time and service level constraints［J］. Applied Mathematical Modelling, 2013, 37（4）:1753-1767.
［22］PAN F, NAGI R. Multi-echelon supply chain network design in agile manufacturing［J］. Omega, 2013, 41（6）:969-983.
［23］JONRINALDI N, ZHANG D Z. An integrated production and inventory model for a whole manufacturing supply chain involving reverse logistics with finite horizon period［J］. Omega, 2013, 41(3): 598-620.
［24］GUO C, LI X P. A multi-echelon inventory system with supplier selection and order allocation under stochastic demand［J］. International Journal of Production Economics, 2014，151: 37-47.
［25］GUCHHAIT P, MAITI M K, MAITI M. Production-inventory models for a damageable item with variable demands and inventory costs in an imperfect production process［J］. International Journal of Production Economics, 2013, 144（1）:180-188.
［26］李群霞, 张群. 考虑缺货和缺陷品的模糊生产库存模型的优化求解［J］. 系统工程理论与实践, 2011, 31(3): 480-487.
LI Qunxia, ZHANG Qun. Fuzzy optimization of a production inventory system with allowable shortages and defective items［J］. Systems EngineeringTheory & Practice, 2011, 31(3): 480-487.
［27］彭红军, 周梅华. 两级生产与需求不确定的供应链生产订购决策［J］. 系统工程学报, 2010, 25(5): 622-628.
PENG Hongjun, ZHOU Meihua. Production and ordering decision in supply chain with uncertainty in two-echelon yields and demand［J］. Journal of Systems Engineering, 2010, 25(5): 622-628.
［28］OMAR M, SARKER R, OTH-MAN W A M. A just-in-time three-level integrated manufacturing system for linearly time-varying demand process［J］. Applied Mathematical Modelling, 2013, 37(3):1275-1281.
［29］LAM S W, TANG L C. Multiobjective vendor allocation in multiechelon inventory systems: a spreadsheet model［J］. Journal of the Operational Research Society, 2006, 57（5）:561-57
［30］卫忠, 徐晓飞, 战德臣,等. 协同供应链多级库存控制的多目标优化模型及其求解方法［J］. 自动化学报, 2007, 33(2): 181-187.
WEI Zhong, XU Xiaofei, ZHAN Dechen, et al. Multi objective optimization model for collaborative multiechelon inventory control in supply chain［J］. Acta Automatica Sinica, 2007, 33(2): 181-187.
［31］BENDAYA M, HARIGA M. Integrated single vendor single buyer model with stochastic demand and variable lead time［J］. International Journal of Production Economics, 2004, 92（1）: 75-80.
［32］CARDENASBARRON L E, TENG J T, TREVINOGARZA G, et al. An improved algorithm and solution on an integrated production-inventory model in a three-layer supply chain［J］. International Journal of Production Economics, 2012, 136（2）:384-388.
［33］RODRIGUEZ M A, VECCHIETTI A. Inventory and delivery optimization under seasonal demand in the supply chain［J］. Computers and Chemical Engineering, 2010， 34（10）: 1705-1718.
［34］OSMAN H, DEMIRLI K. Economic lot and delivery scheduling problem for multi-stage supply chains［J］. International Journal of Production Economics, 2012, 136（2）:275-286.
［35］SANA S S. A collaborating inventory model in a supply chain［J］. Economic Modelling, 2012, 29（5）: 2016-2023.
［36］YU J C P, WEE H M, WANG K J. Supply chain partnership for three-echelon deteriorating inventory model［J］. Journal of Industrial and Management Optimization, 2008, 4(4): 827-842.
［37］LEE J H, MOON K. Coordinated inventory models with compensation policy in a three level supply chain［C］. ICCSA'06 Proceedings of the 2006 International Conference on Computational Science and Its Applications Volume Part III, Heidelberg： Springer-Verlag Berlin，2006.
［38］JABER M Y, OSMAN I H, GUIFFRIDA A L. Coordinating a three-level supply chain with price discounts, price dependent demand, and profit sharing［J］. International Journal of Integrated Supply Management, 2006, 2（1/2）: 28-48.
［39］JABER M Y, GOYAL S K. Coordinating a three-level supply chain with multiple suppliers, a vendor and multiple buyers［J］. International Journal of Production Economics, 2008, 116（1）: 95-103.
［40］EFENDIGIL T, NT S. An integration methodology based on fuzzy inference systems and neural approaches for multi-stage supply-chains［J］. Computers & Industrial Engineering, 2012, 62（2）:554-569.
［41］PAUL S K, SARKER R, ESSAM D. Real time disruption management for a two-stage batch production-inventory system with reliability considerations［J］. European Journal of Operational Research, 2014, 237（1）: 113-128.
［42］DETTENBACH M, THONEMANN U W. The value of real time yield information in multistage inventory systems-exact and heuristic approaches［J］. European Journal of Operational Research, 2015, 240（1）: 72-83.
［43］WANG K J, LIN Y S, YU J C P. Optimizing inventory policy for products with time-sensitive deteriorating rates in a multi-echelon supply chain［J］. International Journal of Production Economics, 2011, 130（1）:66-76.
［44］HE Y, ZHAO X. Coordination in multiechelon supply chain under supply and demand uncertainty［J］. International Journal of Production Economics, 2012, 139（1）:106-115.
［45］SANA S S. A productioninventory model of imperfect quality products in a threelayer supply chain［J］. Decision Support Systems, 2011, 50（2）: 539-547.
［46］PAL B, SANA S S, CHAUDHURI K. Threelayer supply chain-a production-inventory model for reworkable items［J］. Applied Mathematics and Computation, 2012，219(2):530-543.
［47］SEIFERT R W, ZEQUEIRA R I, LIAO S Q. A threeechelon supply chain with price-only contracts and subsupply chain coordination［J］. International Journal of Production Economics, 2012, 138（2）:345-353.
［48］SHI J M, ZHANG G Q, SHA J C. Optimal production planning for a multi-product closed loop system with uncertain demand and return［J］. Computers & Operations Research, 2011, 38（3）: 641-650.
［49］ROY A, SANA S S, CHAUDHURI K. Optimal replenishment order for uncertain demand in three layer supply chain［J］. Economic Modelling, 2012, 29（6）:2274-2282.
［50］侯玉梅. 简单生产-库存系统的优化控制［J］. 系统工程理论与实践, 2003（4）: 1-6.
HOU Yumei. The optimal control of a simple inventoryproduction system［J］. Systems EngineeringTheory & Practice, 2003(4): 1-6.
［51］MUHARREMOGLU A, TSITSIKLIS J N. A single-unit decomposition approach to multiechelon inventory systems［J］. Operations Research, 2008, 56(6):1089-1103.
［52］GUERRERO W J, YEUNG T G, GURET C. Joint-optimization of inventory policies on a multi-product multi-echelon pharmaceutical system with batching and ordering constraints［J］. European Journal of Operational Research, 2013, 231(1): 98-108.
［53］TAI A H, CHING W K. Optimal inventory policy for a Markovian two-echelon system with returns and lateral transshipment［J］. International Journal of Production Economics, 2014, 151: 48-55.
［54］KOVACS A, EGRI P, KIS T, et al. Inventory control in supply chains: alternative approaches to a twostage lotsizing problem［J］. International Journal of Production Economics, 2013, 143（2）: 385-394.

[1]	李玉民, 邱梦, 黑柏林, 方曾利. 考虑高铁时间窗和客户满意度的生鲜品公铁联运路径选择[J]. 工业工程, 2021, 24(2): 49-56.
[2]	曹振宇, 蒋阳升, 罗孝羚, 杨洁, 张姚. 中小城市直达公交网络优化[J]. 工业工程, 2020, 23(6): 117-123.
[3]	朱向, 向延平. 多车多件货物平衡装载优化研究[J]. 工业工程, 2020, 23(3): 123-131.
[4]	江海, 陈峰. 面向快递同城运输的车辆路径问题研究[J]. 工业工程, 2019, 22(4): 58-63.
[5]	陈炫锐, 陈庆新, 毛宁. 板式家具企业的订单组批问题研究[J]. 工业工程, 2019, 22(2): 96-102.
[6]	晋艳, 何正文. 基于Max-npv的项目进度与支付集成优化[J]. 工业工程, 2018, 21(4): 43-50,61.
[7]	伊雅丽. 研发型企业多项目人力资源调度研究——基于蚁群优化的超启发式算法[J]. 工业工程, 2018, 21(4): 104-109.
[8]	黄锦钿, 黄伟, 郑耿灶. 加工时间存在双重约束的批调度模型及算法[J]. 工业工程, 2017, 20(2): 78-85.
[9]	周娜, 舒帆, 金佩卿. 基于混合启发式算法的设备混合布局问题[J]. 工业工程, 2017, 20(1): 77-82.
[10]	李志1，江舟2，周愉峰1. 基于灰色聚类评估的配送中心选址模糊多目标优化模型[J]. 工业工程, 2016, 19(5): 24-32.
[11]	曹萍萍1, 李铭洋2, 李旭3, 霍春辉2. 一种面向患者门诊预约满意的决策方法[J]. 工业工程, 2016, 19(3): 115-121.
[12]	桂达1, 朱海平1, 廖嘉伟1，杨馥铭1, 余志强2. 基于混合算法的飞机多层次装配计划优化及应用[J]. 工业工程, 2015, 18(6): 8-18.
[13]	何梦莹, 徐梅, 张宁波, 晏福. 基于启发式算法的乘用车物流运输问题分析[J]. 工业工程, 2015, 18(5): 141-147.
[14]	李柏林，俞爱林，毛宁，陈庆新. 考虑人员能力差异的装配生产线优化[J]. 工业工程, 2015, 18(3): 113-118.
[15]	吴明宏1, 张丰丽2, 董广静2, 王柏琳2. 考虑库存信息的钢管批量计划优化算法[J]. 工业工程, 2015, 18(1): 42-47.