A guaranteed service model with continuous review (r,Q) policy

This paper introduces a generalized Guaranteed Service Model (GSM) for production systems that operates under a continuous review inventory control policy (r,Q). The model incorporates dependencies between processing time and order quantity, as well as controllable setup times, offering a more reali...

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Veröffentlicht in:Annals of operations research Jg. 351; H. 1; S. 883 - 901
Hauptverfasser: Bendadou, Abderrahim, Rekik, Yacine, Kalaï, Rim, Jemai, Zied
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.08.2025
Springer Nature B.V
Schlagworte:
Algorithms
Business and Management
Combinatorics
Controllability
Cost reduction
Efficiency
Integer programming
Inventory control
Inventory management
Operations Research/Decision Theory
Optimization
Order quantity
Original Research
Supply chains
Theory of Computation
Guaranteed service model
r
All or nothing property
Q) policy
Controllable lead time
ISSN:0254-5330, 1572-9338
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Zusammenfassung:This paper introduces a generalized Guaranteed Service Model (GSM) for production systems that operates under a continuous review inventory control policy (r,Q). The model incorporates dependencies between processing time and order quantity, as well as controllable setup times, offering a more realistic framework for inventory management. The optimization problem is formulated as a non-linear integer programming problem with a non-convex objective function. To solve this, we propose a hybrid approach that combines the Difference of Convex functions Algorithm (DCA) with a heuristic adjustment technique, enabling efficient computation of high-quality solutions. Numerical experiments demonstrate the effectiveness of the proposed method, achieving competitive performance compared to the Baron solver in terms of cost minimization.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-025-06550-7