Order Quantity Distributions in Make-to-Order Manufacturing: At What Level of Aggregation Do They Respect Standard Assumptions?
This paper presents both an analytical and a numerical investigation into the order quantities received by a company in the form of customer orders. A discussion of assumptions regarding the behavior of demand in the form of customer orders from various perspectives within manufacturing planning and control with a special emphasis on the make-to-order environment is presented. A methodological framework for analyzing the behavior of orders and investigate the validity of the assumptions is given. Furthermore, an analytical approach to identify the horizon needed for aggregating orders to achieve a stable demand is developed and tested on data from a real case.
KeywordsPoison process aggregate demand order sizes planning horizon
- 3.Box, G.E.P., Jenkins, G.: Time Series Analysis: Forecasting and Control. Holden-Day (1976)Google Scholar
- 8.Hax, A.C., Meal, H.C.: Hierarchical Integration of Production Planning and Scheduling. In: Geisler, M.A. (ed.) Logistics. Studies in the Management Sciences, vol. 1. North-Holland/American Elsevier (1975)Google Scholar
- 10.Marucheck, A.S., McClelland, M.K.: Strategic issues in make-to-order manufacturing. Production and Inventory Management 27, 82–96 (1986)Google Scholar
- 11.Miao, W., Gel, Y.R., Gastwirth, J.L.: A New Test of Symmetry about an Unknown Median. Random Walk. In: Hsiung, A., Zhang, C.-H., Ying, Z. (eds.) Sequential Analysis and Related Topics - A Festschrift in Honor of Yuan-Shih Chow. World Scientific Publisher, Singapore (2006)Google Scholar
- 13.Nicholas, J.: Competitive Manufacturing Management: Continuous Improvement. Lean Production and Customer-focused Quality. McGrawHill, New York (1998)Google Scholar
- 14.Nielsen, P., Eriksen, T.: Towards an analysis methodology for identifying root causes of poor delivery performance. In: Conference Proceedings of IESM 2011, International Conference on Industrial Engineering and Systems Management (2011)Google Scholar
- 15.R-project (webpage) (2012), http://www.r-project.org
- 16.Silver, E.A., Pyke, D.F., Peterson, R.: Inventory Management and Production Planning and Scheduling, 3rd edn. John Wiley & Sons (1998)Google Scholar
- 17.Theil, H.: Linear Aggregation of Economic Relations, 1st edn. North-Holland Publishing Company (1955)Google Scholar
- 19.Vollmann, W., Berry, D., Whybark, T.E., Jacobs, F.: Manufacturing Planning and Control for Supply Chain Management. McGraw-Hill, Singapore (2005)Google Scholar
- 20.Walpole, R.E., Myers, R.H., Myers, S.L., Ye, K.: Probability & Statistics for Engineers & Scientists. Prentice Hall, New York (2002)Google Scholar