Soft Computing

, Volume 23, Issue 24, pp 13531–13546 | Cite as

A two-warehouse EOQ model with interval-valued inventory cost and advance payment for deteriorating item under particle swarm optimization

  • Ali Akbar ShaikhEmail author
  • Subhash Chandra Das
  • Asoke Kumar Bhunia
  • Gobinda Chandra Panda
  • Md. Al-Amin Khan
Methodologies and Application


Generally, most of the inventory costs are not always fixed due to uncertainty of competitive market. In the existing literature, it is found that several researchers have worked on uncertainty considering inventory parameters as fuzzy valued. In this work, we have represented the inventory parameters as interval. Using this concept, we have developed a two-warehouse inventory model with advanced payment, partial backlogged shortages. Due to uncertainty, this problem cannot be solved by existing direct/indirect optimization technique. For this purpose, different variants of particle swarm optimization techniques (viz. PSO-CO, WQPSO and GQPSO) have been developed to solve the problem of the proposed inventory model by using interval arithmetic and interval order relations. Finally, to illustrate and also to validate the proposed model, a numerical example has been solved and the best found solutions (which is either optimal solution or near optimal solution) obtained from different variants of PSO have been compared. Then, a sensitivity analysis has been performed to study the effect of changes of different parameters of the model on the optimal policy.


EOQ model Two warehouse Interval-valued inventory cost Advance payment Deterioration Partial backlogging Particle swarm optimization 


Compliance with ethical standards

Conflict of interest

All authors declare that they have no conflict interest.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsThe University of BurdwanBurdwanIndia
  2. 2.School of Engineering and SciencesTecnológico de MonterreyMonterreyMexico
  3. 3.Department of MathematicsChandrapur CollegeChandapur, BurdwanIndia
  4. 4.Department of MathematicsMahavir Institute of Engineering and Technology, BBSRBhubaneswarIndia
  5. 5.Department of MathematicsJahangirnagar UniversitySavar, DhakaBangladesh

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