A continuous model for supply planning of assembly systems with stochastic component procurement times

This paper studies a customized product assembly scenario where some components cannot be stocked due to high component cost and risk. We consider the case where these key components are ordered after a demand has been registered with a promised delivery date. Component lead-times are stochastic and associated distribution function is known in advance. The objective is to determine the ordering time for each component such as to minimize the sum of expected holding and backlogging costs. An approach to solve this problem is proposed and the algorithm is tested on a randomly generated data set.

[1]  Alexandre Dolgui,et al.  Planification de systèmes d'assemblage avec approvisionnements aléatoires en composants , 1995 .

[2]  D. Clay Whybark,et al.  MATERIAL REQUIREMENTS PLANNING UNDER UNCERTAINTY , 1976 .

[3]  Alexandre Dolgui,et al.  The MPS parameterization under lead time uncertainty , 2004 .

[4]  David F. Pyke,et al.  Inventory management and production planning and scheduling , 1998 .

[5]  R. W. Grubbström,et al.  The detailed coordination problem in a two-level assembly system with stochastic lead times , 2003 .

[6]  Chengbin Chu,et al.  Supply management for cost minimization in assembly systems with random component yield times , 1997, J. Intell. Manuf..

[7]  A. Dolgui,et al.  A model for supply planning under lead time uncertainty , 2002 .

[8]  Candace Arai Yano,et al.  Lot sizing in assembly systems with random component yields Candace Arai Yano, Yigal Gerchak. , 1989 .

[9]  Alexandre Dolgui,et al.  Supply planning under uncertainties in MRP environments: A state of the art , 2007, Annu. Rev. Control..

[10]  B. W. Taylor,et al.  A simulation-based experimental investigation of supply/timing uncertainty in MRP systems , 1984 .

[11]  Jeff Hoi Yan Yeung,et al.  Parameters affecting the effectiveness of MRP systems: A review , 1998 .

[12]  Alexandre Dolgui,et al.  Generalized newsboy model to compute the optimal planned lead times in assembly systems , 2002 .

[13]  R. W. Grubbström,et al.  Planned lead time determination in a make-to-order remanufacturing system , 2007 .

[14]  Candace Aral Yano,et al.  Stochastic Leadtimes in Two-Level Assembly Systems , 1987 .

[15]  R. W. Grubbström,et al.  Considering stochastic lead times in a manufacturing/remanufacturing system with deterministic demands and returns , 2005 .

[16]  A. Molinder,et al.  Joint optimization of lot-sizes, safety stocks and safety lead times in an MRP system , 1997 .

[17]  Sven Axsäter Planning order releases for an assembly system with random operation times , 2005, OR Spectr..

[18]  J. Lehoczky,et al.  Optimal order policies in assembly systems with random demand and random supplier delivery , 1996 .