Multi-Source Backlogged Probabilistic Inventory Model for Crisp and Fuzzy Environment
DOI:
https://doi.org/10.24297/jam.v14i2.7365Keywords:
Constrained model, Continuous distributions, Lagrange multiplier technique, Periodic inventory model, Varying costsAbstract
This paper proposed a multi-item multi-source probabilistic periodic review inventory model under a varying holding cost constraint with zero lead time when: (1) the stock level decreases at a uniform rate over the cycle. (2) some costs are varying. (3) the demand is a random variable that follows some continuous distributions as (two-parameter exponential, Kumerswamy, Gamma, Beta, Rayleigh, Erlang distributions).
The objective function under a constraint is imposed here in crisp and fuzzy environment. The objective is to find the optimal maximum inventory level for a given review time that minimize the expected annual total cost. Furthermore, a comparison between given distributions is made to find the optimal distribution that achieves the model under considerations. Finally, a numerical example is applied.
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References
Abuo - El-Ata M., Fergany H. and El-Wakeel M., Probabilistic Multi-Item Inventory Model with Varying Order
Cost under Two Restrictions: A Geometric Programming Approach, International Journal of Production
Economics, 83 (2003) PP. 223-231.
Chiang C., A periodic review replenishment model with a refined delivery scenario, International Journal of
Production Economics, 118 (2009) PP. 253-259
Chiang C., Optimal ordering policies for periodic-review systems with a refined intra-cycle time scale,
Production, Manufacturing and Logistics, European Journal of Operational Research 177 (2007) PP. 872-881.
Chiang C., Optimal replenishment for a periodic review inventory system with two supply modes, European
Journal of Operational Research 149 (2003) PP. 229-244
Chiang C., Periodic Review Inventory Models with Stochastic Supplier's Visit Intervals, International Journal of
Production Economics, 115 (2008) PP. 433-438.
Chu K., Lung Y., Shing K. and Thomas N., Note on inventory model with a mixture of back orders and lost
sales Peter, European Journal of Operational Research 159 (2004) PP. 470-475.
Fabrycky W. J. and Banks Jerry. (1967). Procurement and Inventory Systems: THEORY AND ANALYSIS.
Newwork, Amsterdam, London.
Fergany H., Probabilistic Multi Item Inventory Model with Varying Mixture Shortage Cost Under Restrictions,
Springer Plus Journal of Springer Plus 5(1), (2016), PP. 1-13.
Fergany H., El-Hefnawy N. and Hollah O., Probabilistic Periodic Review Inventory Model Using
Lagrange Technique And Fuzzy Adaptive Particle Swarm Optimization, Journal of Mathematics and Statistics
(3) (2014) PP. 368-383.
Fergany H. and El-Wakeel M., Probabilistic Single - Item Inventory Problem with Varying Order Cost Under
Two Linear Constraints. Journal of the Egyptian Mathematical Society, 12(1), (2004) PP. 71-81.
Konstantaras I. and Papachristos S., Production, Manufacturing and Logistics Optimal policy and holding
cost stability regions in a periodic review inventory system with manufacturing and remanufacturing
options, European Journal of Operational Research 178 (2007) PP. 433-448.
Rong M., Mahapatra N. and Maiti M., A multi-objective wholesaler-retailers inventory-distribution model
with controllable lead-time based on probabilistic fuzzy set and triangular fuzzy number, Applied
Mathematical Modelling 32 (2008) PP. 2670-2685.
Sadjadi S., Ghazanfari M. and Yousefli‚i A., Fuzzy Pricing and Marketing Planning Model: A Possibilistic
Geometric Programming Approach, Expert System Applied 37 (2010) PP. 3392-3397.
Silver A. and Robb J., Some insights regarding the optimal reorder period in periodic review inventory
systems, International Journal of Production Economics 112 (2008) PP. 354-366
Yuyue S. and Hoong C., A periodic-review inventory model with application to the continuous-review
obsolescence problem, European Journal of Operational Research 159 (2004) PP.110-120.
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