Coordinated logistics: replenishment with capacitated transportation for a supply chain

Date
2014-01
Authors
Büyükkaramikli, N. C.
Gürler, Ü.
Alp, O.
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Source Title
Production and Operations Management
Print ISSN
1059-1478
Electronic ISSN
1937-5956
Publisher
POMS
Volume
23
Issue
1
Pages
110 - 126
Language
English
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Abstract

In this study, we consider the integrated inventory replenishment and transportation operations in a supply chain where the orders placed by the downstream retailer are dispatched by the upstream warehouse via an in-house fleet of limited size. We first consider the single-item single-echelon case where the retailer operates with a quantity based replenishment policy, (r,Q), and the warehouse is an ample supplier. We model the transportation operations as a queueing system and derive the operating characteristics of the system in exact terms. We extend this basic model to a two-echelon supply chain where the warehouse employs a base-stock policy. The departure process of the warehouse is characterized in distribution, which is then approximated by an Erlang arrival process by matching the first two moments for the analysis of the transportation queueing system. The operating characteristics and the expected cost rate are derived. An extension of this system to multiple retailers is also discussed. Numerical results are presented to illustrate the performance and the sensitivity of the models and the value of coordinating inventory and transportation operations.

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