메뉴 건너뛰기




Volumn 102, Issue 2, 2006, Pages 344-357

A Lagrangean relaxation algorithm for multi-item lot-sizing problems with joint piecewise linear resource costs

Author keywords

Discounts; Dynamic demand; Lagrangean relaxation; Mixed integer programming; Multi item lot sizing; Piecewise linear costs

Indexed keywords

COSTS; LAGRANGE MULTIPLIERS; OPTIMIZATION; PROBLEM SOLVING; PROCESS CONTROL; PURCHASING;

EID: 33646089649     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2005.02.015     Document Type: Article
Times cited : (27)

References (27)
  • 1
    • 0024126515 scopus 로고
    • A heuristic with lower bound performance guarantee for the multi-product dynamic lot-size problem
    • Atkins D., and Iyogun P. A heuristic with lower bound performance guarantee for the multi-product dynamic lot-size problem. IIE Transactions 20 (1988) 369-373
    • (1988) IIE Transactions , vol.20 , pp. 369-373
    • Atkins, D.1    Iyogun, P.2
  • 2
    • 0021513251 scopus 로고
    • Strong formulations for multi-Item capacitated lot sizing
    • Barany I., Van Roy T., and Wolsey L. Strong formulations for multi-Item capacitated lot sizing. Management Science 30 (1984) 11255-11261
    • (1984) Management Science , vol.30 , pp. 11255-11261
    • Barany, I.1    Van Roy, T.2    Wolsey, L.3
  • 3
    • 0018491453 scopus 로고
    • A survey of various tactics for generating lagrangian multipliers in the context of lagrangian duality
    • Bazaraa M.S., and Goode J.J. A survey of various tactics for generating lagrangian multipliers in the context of lagrangian duality. European Journal of Operational Research 3 (1979) 322-338
    • (1979) European Journal of Operational Research , vol.3 , pp. 322-338
    • Bazaraa, M.S.1    Goode, J.J.2
  • 4
    • 0035410522 scopus 로고    scopus 로고
    • Modelling practical lot-sizing problems as mixed-integer programs
    • Belvaux G., and Wolsey L. Modelling practical lot-sizing problems as mixed-integer programs. Management Science 47 (2001) 993-1007
    • (2001) Management Science , vol.47 , pp. 993-1007
    • Belvaux, G.1    Wolsey, L.2
  • 5
    • 0020194024 scopus 로고
    • Computational complexity of the capacitated lot size problem
    • Bitran G., and Yanasse H. Computational complexity of the capacitated lot size problem. Management Science 28 (1982) 1174-1186
    • (1982) Management Science , vol.28 , pp. 1174-1186
    • Bitran, G.1    Yanasse, H.2
  • 6
    • 84974856824 scopus 로고
    • A recursive algorithm for order cycle-time that minimizes logistics cost
    • Buffa F., and Munn J. A recursive algorithm for order cycle-time that minimizes logistics cost. Journal of the Operational Research Society 40 (1989) 367-377
    • (1989) Journal of the Operational Research Society , vol.40 , pp. 367-377
    • Buffa, F.1    Munn, J.2
  • 8
    • 0021494790 scopus 로고
    • Joint inventory replenishments with group discounts based on invoice value
    • Chakravarty A. Joint inventory replenishments with group discounts based on invoice value. Management Science 30 (1984) 1105-1112
    • (1984) Management Science , vol.30 , pp. 1105-1112
    • Chakravarty, A.1
  • 10
    • 0007077987 scopus 로고
    • Dynamic lot-sizing in multi-echelon distribution systems with purchasing and transportation price discounts
    • Diaby M., and Martel A. Dynamic lot-sizing in multi-echelon distribution systems with purchasing and transportation price discounts. Operations Research 41-1 (1993) 48-59
    • (1993) Operations Research , vol.41-1 , pp. 48-59
    • Diaby, M.1    Martel, A.2
  • 11
    • 0019477279 scopus 로고
    • The Lagrangian relaxation method for solving integer programming problems
    • Fisher M.L. The Lagrangian relaxation method for solving integer programming problems. Management Science 22 (1981) 1-18
    • (1981) Management Science , vol.22 , pp. 1-18
    • Fisher, M.L.1
  • 12
    • 0042310923 scopus 로고
    • A branch and bound algorithm for the multi-item single level capacitated dynamic lotsizing problem
    • Schneeweiss Ch., Axsater S., and Silver E. (Eds), Springer, Berlin
    • Gelders L., Maes J., and VanWassenhove L.N. A branch and bound algorithm for the multi-item single level capacitated dynamic lotsizing problem. In: Schneeweiss Ch., Axsater S., and Silver E. (Eds). Multi-Stage Production Planning and Inventory Control (1986), Springer, Berlin 92-108
    • (1986) Multi-Stage Production Planning and Inventory Control , pp. 92-108
    • Gelders, L.1    Maes, J.2    VanWassenhove, L.N.3
  • 13
    • 0019926392 scopus 로고
    • On the optimality of joint ordering policies in a multi-product dynamic lot size model with individual and joint set-up costs
    • Haseborg F. On the optimality of joint ordering policies in a multi-product dynamic lot size model with individual and joint set-up costs. European Journal of Operational Research 9 (1982) 47-55
    • (1982) European Journal of Operational Research , vol.9 , pp. 47-55
    • Haseborg, F.1
  • 14
    • 0018442680 scopus 로고
    • A multi-product dynamic lot-size model with individual and joint set-up costs
    • Kao E. A multi-product dynamic lot-size model with individual and joint set-up costs. Operations Research 27 (1979) 279-289
    • (1979) Operations Research , vol.27 , pp. 279-289
    • Kao, E.1
  • 15
    • 0022737333 scopus 로고
    • Multi item single level capacitated dynamic lotsizing heuristics: a computational comparison (part I and II)
    • Maes J., and Van Wassenhove L. Multi item single level capacitated dynamic lotsizing heuristics: a computational comparison (part I and II). IIE Transactions 18 (1986) 114-129
    • (1986) IIE Transactions , vol.18 , pp. 114-129
    • Maes, J.1    Van Wassenhove, L.2
  • 16
    • 0025814466 scopus 로고
    • Solving the multi-item lot-sizing problems using strong cutting planes
    • Pochet Y., and Wolsey L.A. Solving the multi-item lot-sizing problems using strong cutting planes. Management Science 37 (1991) 53-67
    • (1991) Management Science , vol.37 , pp. 53-67
    • Pochet, Y.1    Wolsey, L.A.2
  • 17
    • 0018443805 scopus 로고
    • Coordinated replenishments of items under time-varying demand: dynamic programming formulation
    • Silver E. Coordinated replenishments of items under time-varying demand: dynamic programming formulation. Naval Research Logistics Quarterly 26 (1979) 141-151
    • (1979) Naval Research Logistics Quarterly , vol.26 , pp. 141-151
    • Silver, E.1
  • 19
    • 0032627684 scopus 로고    scopus 로고
    • The capacitated lot sizing problem with setup carry-over
    • Sox C.R., and Gao Y. The capacitated lot sizing problem with setup carry-over. IIE Transactions 31 (1999) 173-181
    • (1999) IIE Transactions , vol.31 , pp. 173-181
    • Sox, C.R.1    Gao, Y.2
  • 21
    • 0022230531 scopus 로고
    • Lagrangean relaxation for the multi-item capacitated lot-sizing problem: a heuristic implementation
    • Thizy J., and Van Wassenhove L. Lagrangean relaxation for the multi-item capacitated lot-sizing problem: a heuristic implementation. IIE Transactions 17 (1985) 308-313
    • (1985) IIE Transactions , vol.17 , pp. 308-313
    • Thizy, J.1    Van Wassenhove, L.2
  • 23
    • 12344335122 scopus 로고    scopus 로고
    • Multi-product lot-sizing with a transportation capacity reservation contract
    • van Norden L., and van de Velde S. Multi-product lot-sizing with a transportation capacity reservation contract. European Journal of Operational Research 165 (2005) 127-138
    • (2005) European Journal of Operational Research , vol.165 , pp. 127-138
    • van Norden, L.1    van de Velde, S.2
  • 24
    • 0001653909 scopus 로고
    • Minimum concave-cost solution of leontief substitution models of multi-facility inventory systems
    • Veinott A.F. Minimum concave-cost solution of leontief substitution models of multi-facility inventory systems. Operations Research 17 (1969) 262-291
    • (1969) Operations Research , vol.17 , pp. 262-291
    • Veinott, A.F.1
  • 25
    • 0001962762 scopus 로고
    • Dynamic version of the economic lot size model
    • Wagner H., and Whitin T.M. Dynamic version of the economic lot size model. Management Science 5 (1958) 89-96
    • (1958) Management Science , vol.5 , pp. 89-96
    • Wagner, H.1    Whitin, T.M.2
  • 26
    • 0010895132 scopus 로고
    • A deterministic multiproduct, multifacility production and inventory model
    • Zangwill W.I. A deterministic multiproduct, multifacility production and inventory model. Operations Research 14 (1966) 486-507
    • (1966) Operations Research , vol.14 , pp. 486-507
    • Zangwill, W.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.