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Journal of the Operational Research Society, 41(11), 1069–1072.īienstock, D., & Zuckerberg, D. OR-library: distributing test problems by electronic mail. Mixed integer linear programming formulations for open pit production scheduling.
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International Journal of Mining and Mineral Engineering, 2, 185–214.Īskari-Nasab, H., Pourrahimian, Y., Ben-Awuah, E., & Kalantari, S. Large-scale open pit production scheduling using mixed integer linear programming. In 35th APCOM, Vancouver, Canada.Īskari-Nasab, H., Awuah-Offei, K., & Eivazy, H. A scalable approach to optimal block scheduling. Proud (Eds.), Proceedings of the 28th applications of computers and operations research in the mineral industries conference (APCOM), Golden, CO (pp. A strategic production scheduling method for an open pit mine.
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Englewood Cliffs: Prentice Hall.Īkaike, A., & Dagdelen, K. Network flows: theory, algorithms, and applications. The library serves not only as a suggestion of standard expressions of and available data for open pit mining problems, but also as encouragement for the development of increasingly sophisticated algorithms.Īhuja, R. We conclude with directions for use of this newly established mining library. We describe some representative open pit mining problems, briefly mention related literature, and provide a library consisting of mathematical models and sets of instances, available on the Internet. Although open pit mining problems have appeared in academic literature dating back to the 1960s, no standard representations exist, and there are no commonly available corresponding data sets. Extensions of this problem can include ( i) lower bounds on operational resource usage, ( ii) the determination of whether a block is sent to a waste dump, i.e., discarded, or to a processing plant, i.e., to a facility that derives salable mineral from the block, ( iii) average grade constraints at the processing plant, and ( iv) inventories of extracted but unprocessed material. A typical objective is to maximize the net present value of the extracted ore constraints include precedence and upper bounds on operational resource usage. Open pit production scheduling problems seek to determine when, if ever, a block is extracted from an open pit mine. The ultimate pit limit problem determines a set of notional three-dimensional blocks containing ore and/or waste material to extract to maximize value subject to geospatial precedence constraints. Similar to the mixed-integer programming library (MIPLIB), we present a library of publicly available test problem instances for three classical types of open pit mining problems: the ultimate pit limit problem and two variants of open pit production scheduling problems.