Advanced search
Publication Cover
International Journal of Production Research Volume 29, 1991 - Issue 10
Submit an article Journal homepage
173
Views
96
CrossRef citations to date
0
Altmetric
Original Articles

Quantity discount decisions under conditions of multiple items, multiple suppliers and resource limitations

W. C. BENTON College of Business, Faculty of Management Science, The Ohio State University, Columbus, Ohio, 43210, USA.
Pages 1953-1961 | Received 01 Feb 1991, Published online: 16 May 2007

Citations (96)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (10)

M. Palanivel & M. Suganya. (2022) Partial backlogging inventory model with price and stock level dependent demand, time varying holding cost and quantity discounts. Journal of Management Analytics 9:1, pages 32-59.
Read now
Sihem Ben Jouida & Saoussen Krichen. (2022) A genetic algorithm for supplier selection problem under collaboration opportunities. Journal of Experimental & Theoretical Artificial Intelligence 34:1, pages 53-79.
Read now
Parvin Nourmohamadi Shalke, Mohammad Mahdi Paydar & Mostafa Hajiaghaei-Keshteli. (2018) Sustainable supplier selection and order allocation through quantity discounts. International Journal of Management Science and Engineering Management 13:1, pages 20-32.
Read now
W.C. Tsai. (2015) Order allocation for multi-item sourcing with supply disruptions in shipment quality and delivery. International Journal of Logistics Research and Applications 18:6, pages 494-517.
Read now
Jheng-Dan Huang & MichaelH. Hu. (2013) Two-stage solution approach for supplier selection: A case study in a Taiwan automotive industry. International Journal of Computer Integrated Manufacturing 26:3, pages 237-251.
Read now
Rong Li & Jennifer K. Ryan. (2012) Inventory flexibility through adjustment contracts. International Journal of Production Research 50:7, pages 1955-1978.
Read now
Omid Jadidi, Tang Sai Hong, Fatemeh Firouzi & Rosnah Mohd Yusuff. (2009) An optimal grey based approach based on TOPSIS concepts for supplier selection problem. International Journal of Management Science and Engineering Management 4:2, pages 104-117.
Read now
I. K. Moon, S. K. Goyal & B. C. Cha. (2008) The joint replenishment problem involving multiple suppliers offering quantity discounts. International Journal of Systems Science 39:6, pages 629-637.
Read now
Z. Degraeve, Eva Labro & F. Roodhooft. (2005) Constructing a Total Cost of Ownership supplier selection methodology based on Activity-Based Costing and mathematical programming. Accounting and Business Research 35:1, pages 3-27.
Read now
Peng-Sheng You. (2005) A heuristic approach for multiple item and location ordering problem with quantity discount and capacity constraint. Journal of the Operational Research Society 56:3, pages 307-316.
Read now

Articles from other publishers (86)

M.G. Fiestras-Janeiro, I. García-Jurado, A. Meca & M.A. Mosquera. (2024) Evaluating the impact of items and cooperation in inventory models with exemptable ordering costs. International Journal of Production Economics 269, pages 109151.
Crossref
Liu Yang, Mitch A. Millstein & James F. Campbell. (2022) Unlocking cost savings hidden in hospital tier contracts. Omega 113, pages 102713.
Crossref
Josef Svoboda, Stefan Minner & Man Yao. (2021) Typology and literature review on multiple supplier inventory control models. European Journal of Operational Research 293:1, pages 1-23.
Crossref
Shin Hee Baek & Jong Soo Kim. (2020) Efficient Algorithms for a Large-Scale Supplier Selection and Order Allocation Problem Considering Carbon Emissions and Quantity Discounts. Mathematics 8:10, pages 1659.
Crossref
Fang Fang & Harihara Prasad Natarajan. (2020) Sourcing and Procurement Cost Allocation in Multi‐Division Firms. Production and Operations Management 29:3, pages 767-787.
Crossref
M. Kheirabadi, B. Naderi, A. Arshadikhamseh & V. Roshanaei. (2019) A mixed-integer program and a Lagrangian-based decomposition algorithm for the supply chain network design with quantity discount and transportation modes. Expert Systems with Applications 137, pages 504-516.
Crossref
Md Tanweer Ahmad & Sandeep Mondal. (2019) Dynamic supplier selection through optimal ranking under two-echelon system. Benchmarking: An International Journal 26:8, pages 2574-2607.
Crossref
Görkem Emirhüseyinoğlu & Ali Ekici. (2019) Dynamic facility location with supplier selection under quantity discount. Computers & Industrial Engineering 134, pages 64-74.
Crossref
Md. Tanweer Ahmad & Sandeep Mondal. (2019) Dynamic supplier selection approach for mining equipment company. Journal of Modelling in Management 14:1, pages 77-105.
Crossref
Daniele Manerba & Guido Perboli. (2019) New solution approaches for the capacitated supplier selection problem with total quantity discount and activation costs under demand uncertainty. Computers & Operations Research 101, pages 29-42.
Crossref
Mohammad Izadikhah, Reza Farzipoor Saen & Razieh Roostaee. (2018) How to assess sustainability of suppliers in the presence of volume discount and negative data in data envelopment analysis?. Annals of Operations Research 269:1-2, pages 241-267.
Crossref
Weihua Liu, Shuqing Wang, DongLei Zhu, Di Wang & Xinran Shen. (2017) Order allocation of logistics service supply chain with fairness concern and demand updating: model analysis and empirical examination. Annals of Operations Research 268:1-2, pages 177-213.
Crossref
R. Uthayakumar & M. Ganesh Kumar. (2018) Constrained integrated inventory model for multi-item under mixture of distributions. RAIRO - Operations Research 52:3, pages 849-893.
Crossref
Amir Hossein Niknamfar & Seyed Taghi Akhavan Niaki. (2018) A binary-continuous invasive weed optimization algorithm for a vendor selection problem. Knowledge-Based Systems 140, pages 158-172.
Crossref
Rodrigo Pascual, Gabriel Santelices, Armin Lüer-Villagra, Jorge Vera & Alejandro Mac Cawley. (2017) Optimal repairable spare-parts procurement policy under total business volume discount environment. Reliability Engineering & System Safety 159, pages 276-282.
Crossref
Patrizia Beraldi, Maria Elena Bruni, Daniele Manerba & Renata Mansini. (2017) A stochastic programming approach for the traveling purchaser problem. IMA Journal of Management Mathematics 28:1, pages 41-63.
Crossref
Md Tanweer Ahmad & Sandeep Mondal. (2016) Dynamic supplier selection model under two-echelon supply network. Expert Systems with Applications 65, pages 255-270.
Crossref
Amir Hossein Niknamfar & Seyed Taghi Akhavan Niaki. (2016) Soft time-windows for a bi-objective vendor selection problem under a multi-sourcing strategy: Binary-continuous differential evolution. Computers & Operations Research 76, pages 43-59.
Crossref
Masood Rabieh, Mohammad Ali Soukhakian & Ali Naghi Mosleh Shirazi. (2016) Two models of inventory control with supplier selection in case of multiple sourcing: a case of Isfahan Steel Company. Journal of Industrial Engineering International 12:2, pages 243-254.
Crossref
Vipul Jain, Anirban Kundu, Felix T. S. Chan & Mukesh Patel. (2013) A Chaotic Bee Colony approach for supplier selection-order allocation with different discounting policies in a coopetitive multi-echelon supply chain. Journal of Intelligent Manufacturing 26:6, pages 1131-1144.
Crossref
Mustafa Batuhan Ayhan & Huseyin Selcuk Kilic. (2015) A two stage approach for supplier selection problem in multi-item/multi-supplier environment with quantity discounts. Computers & Industrial Engineering 85, pages 1-12.
Crossref
R. Rajesh & V. Ravi. (2015) Supplier selection in resilient supply chains: a grey relational analysis approach. Journal of Cleaner Production 86, pages 343-359.
Crossref
S. Paul, M.I.M. Wahab & P. Ongkunaruk. (2014) Joint replenishment with imperfect items and price discount. Computers & Industrial Engineering 74, pages 179-185.
Crossref
N. Bianchessi, R. Mansini & M.G. Speranza. (2014) The distance constrained multiple vehicle traveling purchaser problem. European Journal of Operational Research 235:1, pages 73-87.
Crossref
Shahadat Khan & Shams Rahman. (2014) An importance-performance analysis for supplier assessment in foreign-aid funded procurement. Benchmarking: An International Journal 21:1, pages 2-27.
Crossref
Daniele Manerba & Renata Mansini. (2014) An effective matheuristic for the capacitated total quantity discount problem. Computers & Operations Research 41, pages 1-11.
Crossref
Ju-liang Zhang & Jian Chen. (2013) Supplier selection and procurement decisions with uncertain demand, fixed selection costs and quantity discounts. Computers & Operations Research 40:11, pages 2703-2710.
Crossref
Tim Schöneberg, Achim Koberstein & Leena Suhl. (2013) A stochastic programming approach to determine robust delivery profiles in area forwarding inbound logistics networks. OR Spectrum 35:4, pages 807-834.
Crossref
Danial Esmaeili Aliabadi, Abolfazl Kaazemi & Behrooz Pourghannad. (2013) A two-level GA to solve an integrated multi-item supplier selection model. Applied Mathematics and Computation 219:14, pages 7600-7615.
Crossref
John Moussourakis & Cengiz Haksever. (2013) Models for Ordering Multiple Products Subject to Multiple Constraints, Quantity and Freight Discounts. American Journal of Operations Research 03:06, pages 521-535.
Crossref
Brojeswar Pal, Shib Sankar Sana & Kripasindhu Chaudhuri. (2012) A three layer multi-item production–inventory model for multiple suppliers and retailers. Economic Modelling 29:6, pages 2704-2710.
Crossref
Daniele Manerba & Renata Mansini. (2012) An exact algorithm for the Capacitated Total Quantity Discount Problem. European Journal of Operational Research 222:2, pages 287-300.
Crossref
Renata Mansini, Martin W.P. Savelsbergh & Barbara Tocchella. (2012) The supplier selection problem with quantity discounts and truckload shipping. Omega 40:4, pages 445-455.
Crossref
Venkatesan Baskaran, Subramanian Nachiappan & Shams Rahman. (2012) Indian textile suppliers' sustainability evaluation using the grey approach. International Journal of Production Economics 135:2, pages 647-658.
Crossref
Jen Ya Wang, Ching Mei Cheng & Sheng Chung Tu. (2012) An Efficient Genetic Algorithm for Solving the Order Allocation Problem. Advanced Materials Research 433-440, pages 3939-3943.
Crossref
Devendra Choudhary & Ravi Shankar. (2011) Modeling and analysis of single item multi-period procurement lot-sizing problem considering rejections and late deliveries. Computers & Industrial Engineering 61:4, pages 1318-1323.
Crossref
Amir Kamali, S.M.T. Fatemi Ghomi & F. Jolai. (2011) A multi-objective quantity discount and joint optimization model for coordination of a single-buyer multi-vendor supply chain. Computers & Mathematics with Applications 62:8, pages 3251-3269.
Crossref
Fereshteh Mafakheri, Michele Breton & Ahmed Ghoniem. (2011) Supplier selection-order allocation: A two-stage multiple criteria dynamic programming approach. International Journal of Production Economics 132:1, pages 52-57.
Crossref
Kai Zhao & Xin Yu. (2011) A case based reasoning approach on supplier selection in petroleum enterprises. Expert Systems with Applications 38:6, pages 6839-6847.
Crossref
Christoph H. Glock. (2011) A multiple-vendor single-buyer integrated inventory model with a variable number of vendors. Computers & Industrial Engineering 60:1, pages 173-182.
Crossref
Tatsushi NISHI, Sisi YIN & Shuhei YAMASAKI. (2011) Supply Chain Optimization with Quantity Discount Policy under Demand Uncertainty数量割引を考慮した不確定需要下におけるサプライチェーン計画問題の解法. TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C 77:784, pages 4325-4338.
Crossref
Ju-liang Zhang & Ming-yu Zhang. (2011) Supplier selection and purchase problem with fixed cost and constrained order quantities under stochastic demand. International Journal of Production Economics 129:1, pages 1-7.
Crossref
R.J. Kuo, S.Y. Hong & Y.C. Huang. (2010) Integration of particle swarm optimization-based fuzzy neural network and artificial neural network for supplier selection. Applied Mathematical Modelling 34:12, pages 3976-3990.
Crossref
Jafar Razmi & Elham Maghool. (2009) Multi-item supplier selection and lot-sizing planning under multiple price discounts using augmented ε-constraint and Tchebycheff method. The International Journal of Advanced Manufacturing Technology 49:1-4, pages 379-392.
Crossref
Jongkyung Park, Kitae Shin, Tai‐Woo Chang & Jinwoo Park. (2010) An integrative framework for supplier relationship management. Industrial Management & Data Systems 110:4, pages 495-515.
Crossref
J. Gheidar Kheljani, S.H. Ghodsypour & C. O’Brien. (2009) Optimizing whole supply chain benefit versus buyer's benefit through supplier selection. International Journal of Production Economics 121:2, pages 482-493.
Crossref
Amin Amid, S.H. Ghodsypour & Christopher O’Brien. (2009) A weighted additive fuzzy multiobjective model for the supplier selection problem under price breaks in a supply Chain. International Journal of Production Economics 121:2, pages 323-332.
Crossref
R. Mohammad Ebrahim, J. Razmi & H. Haleh. (2009) Scatter search algorithm for supplier selection and order lot sizing under multiple price discount environment. Advances in Engineering Software 40:9, pages 766-776.
Crossref
Wann-Yih Wu, Badri Munir Sukoco, Chia-Ying Li & Shu Hui Chen. (2009) An integrated multi-objective decision-making process for supplier selection with bundling problem. Expert Systems with Applications 36:2, pages 2327-2337.
Crossref
Luis A. San-José & Juan García-Laguna. (2009) Optimal policy for an inventory system with backlogging and all-units discounts: Application to the composite lot size model. European Journal of Operational Research 192:3, pages 808-823.
Crossref
Junyan Wang. (2008) Fuzzy quantity discount optimization models of supply chain coordination based on credibility theory. Fuzzy quantity discount optimization models of supply chain coordination based on credibility theory.
Guido J.L Micheli. (2008) A decision‐maker‐centred supplier selection approach for critical supplies. Management Decision 46:6, pages 918-932.
Crossref
Gerard J. Burke, Janice Carrillo & Asoo J. Vakharia. (2008) Heuristics for sourcing from multiple suppliers with alternative quantity discounts. European Journal of Operational Research 186:1, pages 317-329.
Crossref
Ezgi Aktar Demirtas & Özden Üstün. (2008) An integrated multiobjective decision making process for supplier selection and order allocation. Omega 36:1, pages 76-90.
Crossref
Cengiz Haksever & John Moussourakis. (2008) Determining order quantities in multi-product inventory systems subject to multiple constraints and incremental discounts. European Journal of Operational Research 184:3, pages 930-945.
Crossref
T. Shu, S. Chen, B.L. MacCarthy, L. Muyldermans, K.K. Lai & S.Y. Wang. (2007) Supply chain grounded on information theory: a hierarchical economic information filtering model of supplier selection. Supply chain grounded on information theory: a hierarchical economic information filtering model of supplier selection.
Najla Aissaoui, Mohamed Haouari & Elkafi Hassini. (2007) Supplier selection and order lot sizing modeling: A review. Computers & Operations Research 34:12, pages 3516-3540.
Crossref
Weijun Xia & Zhiming Wu. (2007) Supplier selection with multiple criteria in volume discount environments. Omega 35:5, pages 494-504.
Crossref
Wu Li, Chaoyuan Yue, Hongsheng Xie & Yang Chen. (2007) Material Supply Optimization of Large Scale Projects from a Total Cost of Ownership Perspective. Material Supply Optimization of Large Scale Projects from a Total Cost of Ownership Perspective.
Samuel H. Huang & Harshal Keskar. (2007) Comprehensive and configurable metrics for supplier selection. International Journal of Production Economics 105:2, pages 510-523.
Crossref
Ching-Ter Chang, Chen-Lung Chin & Mei-Feng Lin. (2006) On the single item multi-supplier system with variable lead-time, price-quantity discount, and resource constraints. Applied Mathematics and Computation 182:1, pages 89-97.
Crossref
Ching-Ter Chang. (2006) An acquisition policy for a single item multi-supplier system with real-world constraints. Applied Mathematical Modelling 30:1, pages 1-9.
Crossref
M.R. Gholamian, S.M.T. Fatemi Ghomi & M. Ghazanfari. (2005) A hybrid systematic design for multiobjective market problems: a case study in crude oil markets. Engineering Applications of Artificial Intelligence 18:4, pages 495-509.
Crossref
Nagesh N. Murthy, Samit Soni & Soumen Ghosh. (2004) A Framework for Facilitating Sourcing and Allocation Decisions for Make‐to‐Order Items. Decision Sciences 35:4, pages 609-637.
Crossref
Ge Wang, Samuel H. Huang & John P. Dismukes. (2004) Product-driven supply chain selection using integrated multi-criteria decision-making methodology. International Journal of Production Economics 91:1, pages 1-15.
Crossref
Horst Tempelmeier & Gabriele Reith-Ahlemeier. 2004. Supply Chain Management and Reverse Logistics. Supply Chain Management and Reverse Logistics 349 370 .
L. A. San José & J. García-Laguna. (2003) An EOQ model with backorders and all-units discounts. Top 11:2, pages 253-274.
Crossref
Nagesh N. Murthy, W.C. Benton & Paul A. Rubin. (2003) Offsetting inventory cycles of items sharing storage. European Journal of Operational Research 150:2, pages 304-319.
Crossref
Paul A. Rubin & W.C. Benton. (2003) Evaluating jointly constrained order quantity complexities for incremental discounts. European Journal of Operational Research 149:3, pages 557-570.
Crossref
M Ghiassi & C Spera. (2003) Defining the Internet-based supply chain system for mass customized markets. Computers & Industrial Engineering 45:1, pages 17-41.
Crossref
L. de Boer & L.L.M van der Wegen. (2003) Practice and promise of formal supplier selection: a study of four empirical cases. Journal of Purchasing and Supply Management 9:3, pages 109-118.
Crossref
Stefan Minner. (2003) Multiple-supplier inventory models in supply chain management: A review. International Journal of Production Economics 81-82, pages 265-279.
Crossref
Gabriele Reith-Ahlemeier. 2003. Operations Research Proceedings 2002. Operations Research Proceedings 2002 20 25 .
Rui Carvalho Oliveira & João Carlos Lourenço. (2002) A multicriteria model for assigning new orders to service suppliers. European Journal of Operational Research 139:2, pages 390-399.
Crossref
S.H Ghodsypour & C O’Brien. (2001) The total cost of logistics in supplier selection, under conditions of multiple sourcing, multiple criteria and capacity constraint. International Journal of Production Economics 73:1, pages 15-27.
Crossref
Luitzen de Boer, Eva Labro & Pierangela Morlacchi. (2001) A review of methods supporting supplier selection. European Journal of Purchasing & Supply Management 7:2, pages 75-89.
Crossref
Chia-Shin Chung, Sin-Hoon Hum & Omer Kirca. (2000) An optimal procedure for the coordinated replenishment dynamic lot-sizing problem with quantity discounts. Naval Research Logistics 47:8, pages 686-695.
Crossref
Zeger Degraeve, Eva Labro & Filip Roodhooft. (2000) An evaluation of vendor selection models from a total cost of ownership perspective. European Journal of Operational Research 125:1, pages 34-58.
Crossref
CHARLES L. MUNSON & MEIR J. ROSENBLATT. (1998) THEORIES AND REALITIES OF QUANTITY DISCOUNTS: AN EXPLORATORY STUDY. Production and Operations Management 7:4, pages 352-369.
Crossref
Meir J. Rosenblatt, Yale T. Herer & Ilan Hefter. (1998) Note. An Acquisition Policy for a Single Item Multi-Supplier System. Management Science 44:11-part-2, pages S96-S100.
Crossref
S.H. Ghodsypour & C. O'Brien. (1998) A decision support system for supplier selection using an integrated analytic hierarchy process and linear programming. International Journal of Production Economics 56-57, pages 199-212.
Crossref
Chia-Shin Chung, Sin-Hoon Hum & Omer Kirca. (1996) The coordinated replenishment dynamic lot-sizing problem with quantity discounts. European Journal of Operational Research 94:1, pages 122-133.
Crossref
W.C. Benton & Seungwook Park. (1996) A classification of literature on determining the lot size under quantity discounts. European Journal of Operational Research 92:2, pages 219-238.
Crossref
Sohail S. Chaudhry, Frank G. Forst & James L. Zydiak. (1993) Vendor selection with price breaks. European Journal of Operational Research 70:1, pages 52-66.
Crossref
Paul A. Rubin & W. C. Benton. (1993) Jointly constrained order quantities with all-units discounts. Naval Research Logistics 40:2, pages 255-278.
Crossref
Man Yao & Stefan Minner. (2017) Review of Multi-Supplier Inventory Models in Supply Chain Management: An Update. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.