An optimal batch size for an imperfect production system with quality assurance and rework

We consider a manufacturing system which receives raw material from a supplier, processes it, and delivers it to the customer periodically. The system considered is imperfect and produces defectives at a constant rate. The finished product can only be delivered if the whole lot is quality-certified. Hence, defectives have to be reworked, and the whole lot quality-checked within the cycle. Three different scenarios are considered, viz. (a) a single lot of raw material for multiple lot of finished product and delivery of the product in multiple instalments, (b) a single lot of raw material for a multiple lot of finished product and delivery of the product in a single instalment, and (c) lot-for-lot and delivery of finished product in single instalment. A total cost equation is developed for each model, and the optimal ordering quantities are evaluated. The results found are encouraging and quite simple to use for practical purposes.

[1]  S H Sheu,et al.  Economic optimization of off-line inspection with inspection errors , 2003, J. Oper. Res. Soc..

[2]  Ping Yang,et al.  Optimal lot-sizing in an imperfect production system with homogeneous reworkable jobs , 1996 .

[3]  Meir J. Rosenblatt,et al.  Economic Production Cycles with Imperfect Production Processes , 1986 .

[4]  Bhaba R. Sarker,et al.  Determining manufacturing batch sizes for a lumpy delivery system with trend demand , 2002 .

[5]  M. K. Salameh,et al.  Economic production quantity model for items with imperfect quality , 2000 .

[6]  Gyana R. Parija,et al.  An Optimal Batch Size for a Production System Operating Under a Fixed-Quantity, Periodic Delivery Policy , 1994 .

[7]  Tarun Gupta,et al.  Looping in a multistage production system , 1984 .

[8]  M. Ben-Daya,et al.  Multi-stage lot sizing models with imperfect processes and inspection errors , 1999 .

[9]  Gary L. Hogg,et al.  Backtracking and its Amoebic Properties in One-dimensional Machine Location Problems , 1994 .

[10]  Mohamed Ben-Daya,et al.  Optimal lot-sizing, quality improvement and inspection errors for multistage production systems , 2003 .

[11]  B. Sarker,et al.  Optimal batch size and raw material ordering policy for a production system with a fixed-interval, lumpy demand delivery system , 1996 .

[12]  S. Tseng,et al.  THE EFFECTS OF INSPECTION ERRORS TO THE IMPERFECT EMQ MODEL , 1994 .

[13]  M A Rahim,et al.  Joint determination of production quantity, inspection schedule, and quality control for an imperfect process with deteriorating products , 2001, J. Oper. Res. Soc..

[14]  B. Sarker,et al.  Economic manufacturing quantity in a just-in-time delivery system , 1992 .

[15]  Hau L. Lee,et al.  Lot sizing to reduce capacity utilization in a production process with defective items, process corrections, and rework , 1992 .

[16]  P. A. Hayek,et al.  Production lot sizing with the reworking of imperfect quality items produced , 2001 .

[17]  Dennis E. Kroll,et al.  Integrated production-inventory models for imperfect production processes under inspection schedules , 2003 .

[18]  Gyana R. Parija,et al.  Operations planning in a supply chain system with fixed-interval deliveries of finished goods to multiple customers , 1999 .

[19]  Chung-Yee Lee,et al.  The Economic Order Quantity for Freight Discount Costs , 1986 .

[20]  M. Javad Paknejad,et al.  Quality improvement and setup reduction in the joint economic lot size model , 2002, Eur. J. Oper. Res..

[21]  Angappa Gunasekaran,et al.  Effect of Dynamic Process Quality Control on the Economics of Production , 1990 .

[22]  M. Chandra,et al.  OPTIMAL BATCH SIZE AND INVESTMENT IN MULTISTAGE PRODUCTION SYSTEMS WITH SCRAP , 1997 .

[23]  S. Andrew Starbird.  Acceptance Sampling, Imperfect Production, and the Optimality of Zero Defects , 1997 .

[24]  Shey-Huei Sheu,et al.  Simultaneous determination of the optimal production-inventory and product inspection policies for a deteriorating production system , 2001, Comput. Oper. Res..

[25]  Ruhul A. Sarker,et al.  An optimal batch size for a production system operating under periodic delivery policy , 1999 .