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Constrained single period problem under demand uncertainty

Taleizadeh, A. A ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1016/j.scient.2011.11.012
  3. Publisher: 2011
  4. Abstract:
  5. 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
  6. Keywords:
  7. Inventory control ; Meta heuristics ; Simulation ; Batch sizes ; Demand uncertainty ; Developed model ; Expected profits ; Fuzzy simulation ; Harmony search ; Illustrative examples ; Multi-constraints ; Multi-products ; New model ; Order quantity ; Rough set ; Service rates ; Single period ; Solution algorithms ; Uncertain demand ; Warehouse space ; Algorithms ; Fuzzy sets ; Profitability ; Stochastic models ; Computer simulation ; ِDemand analysis ; Fuzzy mathematics ; Heuristics ; Industrial practice ; Inventory ; Numerical model ; Performance assessment ; Space use ; Stochasticity ; Uncertainty analysis
  8. Source: Scientia Iranica ; Volume 18, Issue 6 , December , 2011 , Pages 1553-1563 ; 10263098 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S1026309811002173