Large-scale multi-period precedence constrained knapsack problem: A mining application

Eduardo Moreno; Daniel Espinoza; Marcos Goycoolea

doi:10.1016/j.endm.2010.05.052

Large-scale multi-period precedence constrained knapsack problem: A mining application

Eduardo Moreno
, Daniel Espinoza
, Marcos Goycoolea

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

We study an extension of the precedence constrained knapsack problem where the knapsack can be filled in multiple periods. This problem is known in the mining industry as the open-pit mine production scheduling problem. We present a new algorithm for solving the LP relaxation of this problem and an LP-based heuristic to obtain feasible solutions. Computational experiments show that we can solve real mining instances with millions of items in minutes, obtaining solutions within 6% of optimality.

Original language	English
Pages (from-to)	407-414
Number of pages	8
Journal	Electronic Notes in Discrete Mathematics
Volume	36
Issue number	C
DOIs	https://doi.org/10.1016/j.endm.2010.05.052
State	Published - Aug 2010

Keywords

Integer Programming
Open-pit Mining
Precedence Constrained Knapsack Problem

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10.1016/j.endm.2010.05.052

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title = "Large-scale multi-period precedence constrained knapsack problem: A mining application",

abstract = "We study an extension of the precedence constrained knapsack problem where the knapsack can be filled in multiple periods. This problem is known in the mining industry as the open-pit mine production scheduling problem. We present a new algorithm for solving the LP relaxation of this problem and an LP-based heuristic to obtain feasible solutions. Computational experiments show that we can solve real mining instances with millions of items in minutes, obtaining solutions within 6\% of optimality.",

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author = "Eduardo Moreno and Daniel Espinoza and Marcos Goycoolea",

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AU - Espinoza, Daniel

AU - Goycoolea, Marcos

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Y1 - 2010/8

N2 - We study an extension of the precedence constrained knapsack problem where the knapsack can be filled in multiple periods. This problem is known in the mining industry as the open-pit mine production scheduling problem. We present a new algorithm for solving the LP relaxation of this problem and an LP-based heuristic to obtain feasible solutions. Computational experiments show that we can solve real mining instances with millions of items in minutes, obtaining solutions within 6% of optimality.

AB - We study an extension of the precedence constrained knapsack problem where the knapsack can be filled in multiple periods. This problem is known in the mining industry as the open-pit mine production scheduling problem. We present a new algorithm for solving the LP relaxation of this problem and an LP-based heuristic to obtain feasible solutions. Computational experiments show that we can solve real mining instances with millions of items in minutes, obtaining solutions within 6% of optimality.

KW - Integer Programming

KW - Open-pit Mining

KW - Precedence Constrained Knapsack Problem

UR - https://www.scopus.com/pages/publications/77954947518

U2 - 10.1016/j.endm.2010.05.052

DO - 10.1016/j.endm.2010.05.052

M3 - Article

AN - SCOPUS:77954947518

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EP - 414

JO - Electronic Notes in Discrete Mathematics

JF - Electronic Notes in Discrete Mathematics

IS - C

ER -

Large-scale multi-period precedence constrained knapsack problem: A mining application

Abstract

Keywords

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