Multi-item multiperiodic inventory control problem with variable demand and discounts: a particle swarm optimization algorithm.

A multi-item multiperiod inventory control model is developed for known-deterministic variable demands under limited available budget. Assuming the order quantity is more than the shortage quantity in each period, the shortage in combination of backorder and lost sale is considered. The orders are p...

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Published in:Scientific World Journal pp. 136047 - 136048
Main Authors: Mousavi, Seyed Mohsen, Niaki, S T A, Bahreininejad, Ardeshir, Musa, Siti Nurmaya
Format: research Journal Article
Published: Wiley-Blackwell 2014
Online Access:View this record in EBSCOhost
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      dt: 2014
      pid: 480
      pub: Wiley-Blackwell
      place: Malden, Massachusetts
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        10.1155/2014/136047
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        103838493
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        atl: Multi-item multiperiodic inventory control problem with variable demand and discounts: a particle swarm optimization algorithm.
      aug:
        au:
          Mousavi, Seyed Mohsen
          Niaki, S T A
          Bahreininejad, Ardeshir
          Musa, Siti Nurmaya
        affil: Department of Mechanical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia.
      sug:
        subj:
          Particle Swarm Optimization
          Models, Theoretical
          Decision Making
      ab: A multi-item multiperiod inventory control model is developed for known-deterministic variable demands under limited available budget. Assuming the order quantity is more than the shortage quantity in each period, the shortage in combination of backorder and lost sale is considered. The orders are placed in batch sizes and the decision variables are assumed integer. Moreover, all unit discounts for a number of products and incremental quantity discount for some other items are considered. While the objectives are to minimize both the total inventory cost and the required storage space, the model is formulated into a fuzzy multicriteria decision making (FMCDM) framework and is shown to be a mixed integer nonlinear programming type. In order to solve the model, a multiobjective particle swarm optimization (MOPSO) approach is applied. A set of compromise solution including optimum and near optimum ones via MOPSO has been derived for some numerical illustration, where the results are compared with those obtained using a weighting approach. To assess the efficiency of the proposed MOPSO, the model is solved using multi-objective genetic algorithm (MOGA) as well. A large number of numerical examples are generated at the end, where graphical and statistical approaches show more efficiency of MOPSO compared with MOGA.
      pubtype: Academic Journal
      doctype:
        research
        Journal Article
      ougenre: Article
    language: English
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