Operations research for mining : a classification and literature review

In this paper, we describe the main processes and operations in mining industries and present a comprehensive survey of operations research methodologies that have been applied over the last several decades. The literature review is classified into four main categories: mine design; mine production; mine transportation; and mine evaluation. Mining design models are further separated according to two main mining methods: open-pit and underground. Moreover, mine production models are subcategorised into two groups: ore mining and coal mining. Mine transportation models are further partitioned in accordance with fleet management, truck haulage and train scheduling. Mine evaluation models are further subdivided into four clusters in terms of mining method selection, quality control, financial risks and environmental protection. The main characteristics of four Australian commercial mining software are addressed and compared. This paper bridges the gaps in the literature and motivates researchers to develop more applicable, realistic and comprehensive operations research models and solution techniques that are directly linked with mining industries.

[1]  Kwang Hyung Lee,et al.  First Course on Fuzzy Theory and Applications , 2005, Advances in Soft Computing.

[2]  Liwen Liu,et al.  Supply chain coordination with quantity discount policy , 2006 .

[3]  Amiya K. Chakravarty,et al.  An optimal joint buyer-seller discount pricing model , 1988, Comput. Oper. Res..

[4]  M. J. Rosenblatt,et al.  THEORIES AND REALITIES OF QUANTITY DISCOUNTS: AN EXPLORATORY STUDY * , 2009 .

[5]  Huey-Ming Lee,et al.  Fuzzy Inventory with Backorder for Fuzzy Order Quantity , 1996, Inf. Sci..

[6]  Michael Boehlje,et al.  Agriculture in the 21st Century , 1996 .

[7]  Suresh Kumar Goyal,et al.  Note-Comment on: A Generalized Quantity Discount Pricing Model to Increase Supplier's Profits , 1987 .

[8]  Hojung Shin,et al.  A quantity discount approach to supply chain coordination , 2007, Eur. J. Oper. Res..

[9]  S. P. Sarmah,et al.  An application of fuzzy set theory for supply chain coordination , 2008 .

[10]  Z. K. Weng Channel coordination and quantity discounts , 1995 .

[11]  D. Wong,et al.  A fuzzy mathematical model for the joint economic lot size problem with multiple price breaks , 1996 .

[12]  Huey-Ming Lee,et al.  Economic production quantity for fuzzy demand quantity, and fuzzy production quantity , 1998, Eur. J. Oper. Res..

[13]  Amiya K. Chakravarty,et al.  Joint Inventory Replenishments with Group Discounts Based on Invoice Value , 1984 .

[14]  Chonghui Guo,et al.  Channel coordination and volume discounts with price-sensitive demand , 2007 .

[15]  A. Banerjee A JOINT ECONOMIC-LOT-SIZE MODEL FOR PURCHASER AND VENDOR , 1986 .

[16]  Amiya K. Chakravarty Multiproduct purchase scheduling with limited budget and/or group discounts , 1985, Comput. Oper. Res..

[17]  Jing-Shing Yao,et al.  Fuzzy economic production for production inventory , 2000, Fuzzy Sets Syst..

[18]  James P. Monahan A Quantity Discount Pricing Model to Increase Vendor Profits , 1984 .

[19]  Mitsuo Gen,et al.  An application of fuzzy set theory to inventory control models , 1997 .

[20]  Andrew Higgins,et al.  Evaluating alternate strategic options for agricultural value chains , 2008 .

[21]  S. Viswanathan,et al.  Discount pricing decisions in distribution channels with price-sensitive demand , 2003, Eur. J. Oper. Res..

[22]  Chih-Hsun Hsieh,et al.  Optimization of fuzzy production inventory models , 2002, Inf. Sci..

[23]  Suresh Kumar Goyal,et al.  Determination of a Supplier's Economic Ordering Policy , 1987 .

[24]  Prakash L. Abad,et al.  Optimal price and lot size when the supplier offers a temporary price reduction over an interval , 2003, Comput. Oper. Res..

[25]  Eric Sucky,et al.  Production , Manufacturing and Logistics A bargaining model with asymmetric information for a single supplier – single buyer problem , 2005 .

[26]  M. J. Rosenblatt,et al.  Improving Profitability with Quantity Discounts under Fixed Demand , 1985 .

[27]  Radivoj Petrovic,et al.  EOQ formula when inventory cost is fuzzy , 1996 .

[28]  H. Hwang,et al.  An incremental discount pricing schedule with multiple customers and single price break , 1988 .

[29]  Liang-Yuh Ouyang,et al.  Fuzzy mixture inventory model involving fuzzy random variable lead time demand and fuzzy total demand , 2006, Eur. J. Oper. Res..

[30]  Hans Koehorst,et al.  Challenges in international food supply chains: vertical co‐ordination in the European agribusiness and food industries , 1997 .

[31]  Ravi Anupindi,et al.  Analysis of supply contracts with total minimum commitment , 1997 .

[32]  R. Kohli,et al.  A cooperative game theory model of quantity discounts , 1989 .

[33]  Jesus René Villalobos,et al.  Application of planning models in the agri-food supply chain: A review , 2009, Eur. J. Oper. Res..

[34]  Jing-Shing Yao,et al.  Inventory without backorder with fuzzy total cost and fuzzy storing cost defuzzified by centroid and signed distance , 2003, Eur. J. Oper. Res..

[35]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[36]  Adrijit Goswami,et al.  A joint economic-lot-size model for purchaser and vendor in fuzzy sense , 2005 .

[37]  Prakash L. Abad,et al.  Determining Optimal Selling Price and Lot Size When the Supplier Offers All‐Unit Quantity Discounts* , 1988 .

[38]  Lisa Elliston,et al.  Australian Food Industry - Performance and Competitiveness , 2007 .

[39]  M. J. Rosenblatt,et al.  Coordinating a three-level supply chain with quantity discounts , 2001 .

[40]  Shan-Huo Chen,et al.  Backorder Fuzzy Inventory Model under Function Principle , 1996, Inf. Sci..

[41]  Prakash L. Abad,et al.  Supplier pricing and lot sizing when demand is price sensitive , 1994 .

[42]  K. S. Park,et al.  Fuzzy-set theoretic interpretation of economic order quantity , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[43]  M. J. Rosenblatt,et al.  A generalized quantity discount pricing model to increase supplier's profits , 1986 .

[44]  Huey-Ming Lee,et al.  Economic order quantity in fuzzy sense for inventory without backorder model , 1999, Fuzzy Sets Syst..

[45]  M. Parlar,et al.  DISCOUNTING DECISIONS IN A SUPPLIER-BUYER RELATIONSHIP WITH A LINEAR BUYER'S DEMAND , 1994 .

[46]  Dilip Chhajed,et al.  Applications of location analysis in agriculture: a survey , 2004, J. Oper. Res. Soc..

[47]  C. Corbett,et al.  A Supplier's Optimal Quantity Discount Policy Under Asymmetric Information , 2000 .

[48]  Amiya Chakravarty Quantity Discounted Inventory Replenishments With Limited Storage Space , 1986 .

[49]  Hui-Ming Wee,et al.  An arborescent inventory model in a supply chain system , 2001 .

[50]  Dong-Hui Li,et al.  Coordinating order quantity decisions in the supply chain contract under random demand , 2007 .