Open AccessConstrained single period problem under demand uncertainty
Author(s) -
Ata Allah Taleizadeh,
Hassan Shavandi,
Rasoul Haji
Publication year - 2011
Publication title -
scientia iranica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.299
H-Index - 51
eISSN - 2345-3605
pISSN - 1026-3098
DOI - 10.1016/j.scient.2011.11.012
Subject(s) - harmony search , mathematical optimization , fuzzy logic , computer science , operations research , mathematics , artificial intelligence
In this paper, we develop the multi-product, multi-constraint, Single Period Problem (SPP) with uncertain demands, considering an incremental discount situation. Three new models are presented for multi-product, multi-constraint SPP in fuzzy, stochastic and rough environments. We consider constraints, such as service rate, restriction on order quantity and restrictions on warehouse space and budget. We also consider that the order quantity is a multiplier of predefined batch size. Furthermore, three kinds of solution algorithm, (1) harmony search, (2) hybrid intelligent based on harmony search and fuzzy simulation and (3) hybrid intelligent based on harmony search and rough simulation, are presented for the developed models to maximize expected profit. Finally, illustrative examples are presented to show the performance of the developed models and algorithms