Capacitated dynamic lot-sizing problem with delivery/production time windows

被引:7
作者
Hwang, H-C [2 ]
Jaruphongsa, W. [1 ]
Cetinkaya, S. [3 ]
Lee, C-Y [4 ]
机构
[1] Chulalongkorn Univ, Sasin Grad Inst Business Adm, Bangkok 10330, Thailand
[2] Chosun Univ, Dept Ind Engn, Kwangju 501759, South Korea
[3] Texas A&M Univ, Dept Ind & Syst Engn, College Stn, TX 77843 USA
[4] Hong Kong Univ Sci & Technol, Dept Ind Engn & Logist Management, Kowloon, Hong Kong, Peoples R China
关键词
Dynamic lot-sizing model; Demand time window; Capacitated production model; ALGORITHM; MODEL; N);
D O I
10.1016/j.orl.2010.04.009
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper we generalize the classical dynamic lot-sizing problem by considering production capacity constraints as well as delivery and/or production time windows. Utilizing an untraditional decomposition principle, we develop a polynomial-time algorithm for computing an optimal solution for the problem under the assumption of non-speculative costs. The proposed solution methodology is based on a dynamic programming algorithm that runs in O(nT(4)) time, where n is the number of demands and T is the length of the planning horizon. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:408 / 413
页数:6
相关论文
共 22 条
[1]   IMPROVED ALGORITHMS FOR ECONOMIC LOT-SIZE PROBLEMS [J].
AGGARWAL, A ;
PARK, JK .
OPERATIONS RESEARCH, 1993, 41 (03) :549-571
[2]   Multi-item lot-sizing with joint set-up costs [J].
Anily, Shoshana ;
Tzur, Michal ;
Wolsey, Laurence A. .
MATHEMATICAL PROGRAMMING, 2009, 119 (01) :79-94
[3]   COMPUTATIONAL-COMPLEXITY OF THE CAPACITATED LOT SIZE PROBLEM [J].
BITRAN, GR ;
YANASSE, HH .
MANAGEMENT SCIENCE, 1982, 28 (10) :1174-1186
[4]   Capacitated multi-item lot-sizing problems with time windows [J].
Brahimi, Nadjib ;
Dauzere-Peres, Stephane ;
Najid, Najib M. .
OPERATIONS RESEARCH, 2006, 54 (05) :951-967
[5]   A NEW DYNAMIC-PROGRAMMING ALGORITHM FOR THE SINGLE ITEM CAPACITATED DYNAMIC LOT-SIZE MODEL [J].
CHEN, HD ;
HEARN, DW ;
LEE, CY .
JOURNAL OF GLOBAL OPTIMIZATION, 1994, 4 (03) :285-300
[6]   AN O(T2) ALGORITHM FOR THE NI/G/NI/ND CAPACITATED LOT SIZE PROBLEM [J].
CHUNG, CS ;
LIN, CHM .
MANAGEMENT SCIENCE, 1988, 34 (03) :420-426
[7]  
Dauzere-Peres S., 2002, UNCAPACITATED LOT SI
[8]   Algorithms for Capacitated Rectangle Stabbing and Lot Sizing with Joint Set-Up Costs [J].
Even, Guy ;
Levi, Retsef ;
Rawitz, Dror ;
Schieber, Baruch ;
Shahar, Shimon ;
Sviridenko, Maxim .
ACM TRANSACTIONS ON ALGORITHMS, 2008, 4 (03)
[9]   A SIMPLE FORWARD ALGORITHM TO SOLVE GENERAL DYNAMIC LOT SIZING MODELS WITH N PERIODS IN 0(N LOG N) OR 0(N) TIME [J].
FEDERGRUEN, A ;
TZUR, M .
MANAGEMENT SCIENCE, 1991, 37 (08) :909-925
[10]   DETERMINISTIC PRODUCTION PLANNING WITH CONCAVE COSTS AND CAPACITY CONSTRAINTS [J].
FLORIAN, M ;
KLEIN, M .
MANAGEMENT SCIENCE SERIES A-THEORY, 1971, 18 (01) :12-20