Stochastic Perishable Inventory System Analysis With Two Types Of Customers In The Supply Chain
DOI:
https://doi.org/10.23755/rm.v48i0.1221Keywords:
Supply chain management, Perishable Inventory System, Markov process, Perishable inventory OptimizationAbstract
In the supply chain model being examined in this study, there are two different client expectations. A warehouse, a single distribution centre, a single retailer, and the handling of a single perishable product make up the system. Retailer node (lower echelon) assumes a A(s, S) type inventory system with Poisson demand and exponentially dispersed lead times, and distribution centre assumes a (0, kQ) policy (middle echelon). Demands that happen during the times when there is no stock are taken to be lost sales. The merchandise is sent from the distribution centre to the stores in packs of Q(= S − s) items. It is believed that only the retailer nodes with rate γ experience item perishability. The upper echelon (warehouse) replaces the distribution center’s stock with exponentially distributed lead times due to its ample supply. Demands arrive at the retailer node in two categories: (i) normal customers; and (ii) priority customers, with arrival rates of α and β. It is possible to obtain the metrics of system performance as well as the steady state probability distribution of system states. The proposed paradigm is demonstrated with numerical examples.References
S Axaster. Exact and approximate evaluation of batch ordering policies for two level inventory systems. Oper. Res., 41:777–785, 1993.
R Bakthavachalam, Navaneethakrishnan, and C Elango. Stochastic perishable inventory control systems in supply chain with partial backorders. 14 International Journal of Mathematics Sciences & Applications, 2(2):680–708, May 2012.
Beamon Benita, M. Supply chain design and analysis: Models and methods. International Journal of Production Economics, 55(3):281–294, 1998.
J Clark, A and H Scarf. Optimal policies for a multi- echelon inventory problem. Management Science, 6(4):475–490, 1960.
A Federgruen. Centralized planning models for multi echelon inventory system under uncertainty. S.C.Graves et al.eds. Handbooks in ORMS , North-Holland, Amsterdam, The Netherlands, 4:133–173, 1993.
G Hadley and M Whitin, T. Analysis of inventory systems. Prentice-Hall, Englewood Cliff, New Jerse, 1963.
C Kartheeswari and R Bakthavachalam. Analysis of integrated inventory control system in supply chain with partial backloggin. International Journal of computational and applied Mathematics, 12(1), 2017.
S Kumaresan, R Bakthavachalam, and K Krishnan. Perishable inventory system with (s, q) policy in supply chain. International Journal of Mathematics and Soft Computing, 4(2):213–224, 2014.
Qi He Ming and M Jewkes, E. Performance measures of a make-to-order inventory-production system. IIE Transactions, 32:409–419, 2000.
S Nahimas. Perishable inventory theory a review. Operations Research, 30:680–708, 1982.
Y Zhang, Y Chai, and L Ma. Research on multi-echelon inventory optimization for fresh products in supply chains. Sustainability, 13(11), 2021.
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