TY - JOUR
T1 - Product mix problems considering several probabilistic conditions and flexibility of constraints
AU - Hasuike, Takashi
AU - Ishii, Hiroaki
PY - 2009/4/1
Y1 - 2009/4/1
N2 - This paper considers product mix problems including randomness of future returns, ambiguity of coefficients and flexibility of upper value with respect to each constraint such as budget, human resource, time and several costs. Particularly, the flexibility is assumed to be a fuzzy goal. Then, several models based on maximizing total future profits under a level of satisfaction to each fuzzy goal are proposed. Furthermore, the model considering preference ranking to each fuzzy goal of constraints is proposed. Since these problems are basically formulated as nonlinear programming problems, the transformations into deterministic equivalent problems are introduced and the efficient solution methods are developed. A numerical example for product mix problem is given to illustrate our proposed models.
AB - This paper considers product mix problems including randomness of future returns, ambiguity of coefficients and flexibility of upper value with respect to each constraint such as budget, human resource, time and several costs. Particularly, the flexibility is assumed to be a fuzzy goal. Then, several models based on maximizing total future profits under a level of satisfaction to each fuzzy goal are proposed. Furthermore, the model considering preference ranking to each fuzzy goal of constraints is proposed. Since these problems are basically formulated as nonlinear programming problems, the transformations into deterministic equivalent problems are introduced and the efficient solution methods are developed. A numerical example for product mix problem is given to illustrate our proposed models.
KW - Chance-constrained programming
KW - Multi-objective fuzzy programming
KW - Probability maximization model
KW - Product mix problems
UR - http://www.scopus.com/inward/record.url?scp=60549089561&partnerID=8YFLogxK
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U2 - 10.1016/j.cie.2008.09.006
DO - 10.1016/j.cie.2008.09.006
M3 - Article
AN - SCOPUS:60549089561
VL - 56
SP - 918
EP - 936
JO - Computers and Industrial Engineering
JF - Computers and Industrial Engineering
SN - 0360-8352
IS - 3
ER -