Abstract
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.
Highlights
In the practical situation, some costs are relating to some variables such as quantity (Q)or length of the cycle (N) ... etc
Rong et al [12] presented a multi-objective wholesaler–retailers inventory-distribution model with controllable lead-time based on probabilistic fuzzy set and triangular fuzzy number
The expected total cost of the cycle for multi-item multi-source is the sum of Equations (1), (2), (3) and (4)
Summary
Some costs are relating to some variables such as quantity (Q)or length of the cycle (N) ... etc.,. Many researchers dealing with inventory models with varying costs for example, Chu et al [6] and Fergany [8] illustrated probabilistic multi-item inventory model with varying mixture shortage cost under restrictions. Fergany and El-Wakeel [10] illustrated probabilistic single item inventory problem with varying order cost under two linear constraints. Abuo - El-Ata et al [1] introduced probabilistic multi-item inventory model with varying order cost under two restrictions using a geometric programming approach. Fergany et al [9] illustrated the model using Lagrange multiplier technique and fuzzy adaptive particle swarm optimization. Chiang [3] presented optimal ordering policies for the model with a refined intra-cycle time scale. Rong et al [12] presented a multi-objective wholesaler–retailers inventory-distribution model with controllable lead-time based on probabilistic fuzzy set and triangular fuzzy number. A comparison between given distributions is made to find the optimal distribution that achieves the model under considerations The results of the numerical example are got by Mathematica program
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
