[en] We describe the purchasing decisions faced by a multi-plant company. The suppliers of this company offer complex discount schedules based on the total quantity (rather than cost) of ingredients purchased. The schedules simultaneously account both for corporate purchases and for purchases at the individual plant level. The complexity of the purchasing decisions is further increased due to the existence of alternative production recipes for each final product. We formulate the corresponding cost-minimization problem as a nonlinear mixed 0-1 programming problem. We propose various ways to linearize this formulation, and we evaluate the quality of the resulting models on real-world data. (C) 2003 Elsevier B.V. All rights reserved.
Disciplines :
Production, distribution & supply chain management
Author, co-author :
Crama, Yves ; Université de Liège - ULiège > HEC - École de gestion de l'ULiège > Recherche opérationnelle et gestion de la production
Pascual, R.
Torres, A.
Language :
English
Title :
Optimal procurement decisions in the presence of total quantity discounts and alternative product recipes
Adams W.P., Sherali H.D. Linearization techniques for a class of zero-one mixed integer programming problems. Operations Research. 38:1990;217-226.
Bisschop J., Entriken R. AIMMS - The Modeling System. 1993;Paragon Decision Technology, The Netherlands.
Bregman R.L., Silver E.A. A modification of the Silver-Meal heuristic to handle MRP purchase discount situations. Journal of the Operational Research Society. 44:1993;717-723.
Chang C.-T., Chang C.C. A linearization method for mixed 0-1 polynomial programs. Computers and Operations Research. 27:2000;1005-1016.
Chaudhry S.S., Forst F.G., Zydiak J.L. Vendor selection with price breaks. European Journal of Operational Research. 70:1993;52-60.
Y. Crama, Y. Pochet, Y. Wera, A discussion of production planning approaches in the process industry, Working Paper GEMME 0102, University of Liège, 2001.
Degraeve Z., Labro E., Roodhooft F. An evaluation of vendor selection models from a total cost of ownership perspective. European Journal of Operational Research. 125:2000;34-58.
Degraeve Z., Roodhooft F. Improving the efficiency of the purchasing process using total cost of ownership information: The case of heating electrodes at Cockerill Sambre S.A. European Journal of Operational Research. 112:1999;42-53.
Fisher M.L. What is the right supply chain for your product? Harvard Business Review. 1997;105-116.
Ghodsypoura S.H., O'Brien C. The total cost of logistics in supplier selection, under conditions of multiple sourcing, multiple criteria and capacity constraint. International Journal of Production Economics. 73:2001;15-27.
Glover F., Woolsey R.E. Converting the 0-1 polynomial programming problem to a 0-1 linear programming problem. Operations Research. 22:1974;180-182.
Juker J.V., Rosenblatt M.J. Single period inventory models with demand uncertainty and quantity discounts: Behavioural implications and a new solution procedure. Naval Research Logistics Quarterly. 32:1985;537-550.
Katz P., Sadrian A.A., Tendick P. Telephone companies analyze price quotations with Bellcore's PDSS software. Interfaces. 24:1994;52-63.
Kraljic P. Purchasing must become supply management. Harvard Business Review. 1983;109-117.
Oral M., Kettani O. A linearization procedure for quadratic and cubic mixed-integer problems. Operations Research. 40:1992;S109-S116.
Roethlein C.J., Mangiameli P.M. The realities of becoming a long-term supplier to a large total quality management customer. Interfaces. 29:1999;71-81.
Roodhooft F., Konings J. Vendor selection and evaluation: An activity based costing approach. European Journal of Operational Research. 96:1997;97-102.
Ross D.F. Competing through Supply Chain Management. 2000;Kluwer Academic Publishers, Dordrecht.
W.G.M. Rutten, The Use of Recipe Flexibility in Production Planning and Inventory Control, Ph.D. dissertation, Technische Universiteit Eindhoven, The Netherlands, 1995.
Rutten W.G.M., Bertrand J.W.M. Balancing stocks, flexible recipe costs and high service level requirements in a batch process industry: A study of a small scale model. European Journal of Operational Research. 110:1998;626-642.
Sadrian A.A., Yoon Y.S. Business volume discount: A new perspective on discount pricing strategy. Journal of Purchasing and Materials Management. 28:1992;43-46.
Sadrian A.A., Yoon Y.S. A procurement decision support system in business volume discount environments. Operations Research. 42:1994;14-23.
Sarkis J., Semple J.H. Vendor selection with bundling: A comment. Decision Sciences. 30:1999;265-271.
Silver E., Peterson R. Decision Systems for Inventory Management and Production Planning. 1985;John Wiley & Sons, New York.
Stadtler H., Kilger C. Supply Chain Management and Advanced Planning. second ed. 2002;Springer-Verlag, Berlin.
Taylor S.G., Seward S.M., Bodlander S.F. Why the process industries are different. Production and Inventory Management Journal. 22:1981;9-24.
Toomey J.W. MRPII, Planning for Manufacturing Excellence. first ed. 1996;Chapman & Hall, New York.
J. Van de Klundert, J. Kuipers, F.C.R. Spieksma, M. Winkels, Telecommunication carrier selection under volume discounts, Draft, Maastricht University, 2002.
Vollman T.E., Berry W.L., Whybark D.C. Manufacturing Planning and Control Systems. third ed. 1992;Business One Irwin, Homewood, IL.
Weber C.A., Current J.R. A multiobjective approach to vendor selection. European Journal of Operational Research. 68:1993;173-184.
Weber C.A., Current J.R., Benton W.C. Vendor selection criteria and methods. European Journal of Operational Research. 50:1991;2-18.
Williams H.P. Model Building in Mathematical Programming. second ed. 1985;John Wiley & Sons, New York.
Xu J., Lu L.L., Glover F. The deterministic multi-item dynamic lot size problem with joint business volume discount. Annals of Operations Research. 96:2000;317-337.
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.