한국경영과학회지 (Journal of the Korean Operations Research and Management Science Society)

  • 제42권1호
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  • Pages.43-52
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  • 2017
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  • 1225-1119(pISSN)
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  • 2733-4759(eISSN)
한국경영과학회 (The Korean Operations Research and Management Science Society)
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주문집약문제에 대한 ${\frac{1}{3}}$-근사해법

A ${\frac{1}{3}}$-Approximation Algorithm for the Order Consolidation Problem

  • 투고 : 2016.11.25
  • 심사 : 2016.12.21
  • 발행 : 2017.02.28
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초록

We consider the order consolidation problem that arises in production systems where customer orders are processed in batches. The problem involves maximizing the number of batches while satisfying the following conditions: (i) the total quantity processed in each batch must be above a prescribed level; (ii) the quantity in an order can be split and processed in more than one batches; (iii) each batch can include up to two different orders but can do so only when the two orders are compatible pair. This problem is known to be NP-hard and max-SNP hard. In this study, we develop an approximation algorithm with factor 1/3.

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참고문헌

  1. 명영수, "일괄처리를 위한 배치통합문제의 근사 해법", 한국경영과학회지, 제38권, 제1호(2013), pp.61-67. https://doi.org/10.7737/JKORMS.2013.38.1.061
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