• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 21 Issue 6
Dec.  2008
Turn off MathJax
Article Contents
GAO Qingping, YAN Qipeng, LIN Yu, LUO Yu. Bi-level Programming for Optimal Inventory Control with Offsetting Replenishment Cycles[J]. Journal of Southwest Jiaotong University, 2008, 21(6): 703-708.
Citation: GAO Qingping, YAN Qipeng, LIN Yu, LUO Yu. Bi-level Programming for Optimal Inventory Control with Offsetting Replenishment Cycles[J]. Journal of Southwest Jiaotong University, 2008, 21(6): 703-708.

Bi-level Programming for Optimal Inventory Control with Offsetting Replenishment Cycles

  • Received Date: 15 Jan 2008
  • Publish Date: 25 Dec 2008
  • The inventory strategy for multiple products sharing a warehouse in a logistics system was studied.The hypotheses were that the mean total inventory cost consisted of constant ordering cost per order,fixed cost determined by the required warehouse space and variable cost determined by the stored product quantity.The offsets for replenishment cycles of multiple products were used to reduce warehouse space and the relevant cost.The upper and lower programming models are to minimize the mean total inventory cost and necessary inventory spaces,respectively;and their decision variables are the replenishment cycles and the offsets for replenishment cycles,respectively.A particle swarm optimization algorithm was designed to solve the model and calculate the optimal replenishment cycles and offsets.The effectiveness of the model and its algorithm were illustrated with a numerical example.

     

  • loading
  • MURTHY N N,BENTON W C,RUBIN P A.Offsetting inventory cycles of items sharing storage[J].European Journal of Operational Research,2003,150(2):304-319.[2] PARSONS J A.Multi-product lot size determination when certain restrictions are active[J].Journal of Industrial Eng.,1966,17(7):360-365.[3] HOLT C C.Decision rides for allocating inventory to lots and cost functions for making aggregate inventory decisions[J].Journal of Industrial Engineering,1958,9:14-22.[4] GOYAL S K.Optimal ordering policy for a multi-item single supplier system[J].Operational Research Quarterly,1974,25 (1):293-298.[5] MAXWELL W L.The scheduling of economic lot sizes[J].Naval Research Logistics Quarterly,1964,11 (2):89-124.[6] COYAL S K.Determination of economic packaging frequency for items jointly replenished[J].Management Science,1973,20(1):232-235.[7] ROUNDY R.98% Effective integer-ratio lot-sizing for one-warehouse multi-retailer systems[J].Management Science,1985,31(11):1 416-1 430.[8] YAO M J,CHU W M.A genetic algorithm for determining optimal replenishment cycles to minimize maximum warehouse space requirements[J].The International Journal of Management Science,2008,36(4):619-631.[9] 赵志刚,顾新一,李陶深.求解双层规划模型的粒子群优化算法[J].系统工程理论与实践,2007,27(8):92-98.ZHAO Zhigang,GU Xinyi,LI Taoshen.Particle swarm optimization for hi-level programming problem[J].Systems Engineering-Theory & Practice,2007,27(8):92-98.[10] 李宏,王宇平,焦永昌.解非线性两层规划问题的新的遗传算法及全局收敛性[J].系统工程理论与实践,2005,25(3):62-71.LI Hong,WANG Yuping,JIAO Yongchang.A new genetic algorithm for nonlinear bilevel programming problem and its global convergence[J].Systems Engineering-Theory & Practice,2005,25(3):62-71.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Article views(1508) PDF downloads(298) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return