Analysis of a Three-Echelon Supply Chain System with Multiple Retailers, Stochastic Demand and Transportation Times

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Bibliográfalaš dieđut
Publikašuvnnas:	Mathematics vol. 13, no. 19 (2025), p. 3199-3227
Váldodahkki:	Varlas Georgios
Eará dahkkit:	Koukoumialos Stelios, Diamantidis Alexandros, Ioannidis Evangelos
Almmustuhtton:	MDPI AG
Fáttát:	Integer programming Deep learning Markov chains Random variables Optimization Decomposition Approximation Manufacturers Order quantity Inventory control Heuristic Suppliers Mathematical programming Machine learning Dynamic programming Costs Numerical models Genetic algorithms Wholesalers Supply chain management Retail stores Algorithms Linear programming Warehouses Systematic review Inventory Supply chains Markov analysis
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Govvádus
Abstrákta:	In this paper we present an exact numerical model for the evaluation of a three-echelon supply chain with multiple retailers. Poisson demand, exponentially distributed transportation times and lost sales at the retailers are assumed. The system is modeled as a continuous time Markov chain, and the analysis is based on matrix analytic methods. We analyze the infinitesimal generator matrix of the process and develop an algorithm for its construction. Performance measures for the system are calculated algorithmically from the stationary probabilities vector. The algorithm is used for an extensive numerical investigation of the system so that conclusions of managerial importance may be drawn.
ISSN:	2227-7390
DOI:	10.3390/math13193199
Gáldu:	Engineering Database