What does this research mean for the field?

In queueing-inventory systems with imperfect production and inspection, minimizing total costs requires the joint adjustment of production, inspection, and service rates based on defect probability and storage capacity. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

Analyze steady-state performance and optimize total operating costs in a queueing-inventory system subject to both imperfect production and imperfect quality inspection.

August 22, 2026Hacettepe Journal of Mathematics and StatisticsOpen Access

Steady-state analysis and optimization of a queueing-inventory system under joint impact of imperfect production and inspection processes

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Authors

SOSerife OzkarBalıkesir University UKUmay Uzunoğlu KoçerDokuz Eylül Üniversitesi Hastanesi

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Implication

Stochastic modeling study reveals joint optimization of production, inspection, and service rates minimizes system costs under imperfect quality, highlighting the impact of inspection errors.

Key Points

Analyze steady-state performance and optimize total operating costs in a queueing-inventory system subject to both imperfect production and imperfect quality inspection.
Formulated the system as a continuous-time Markov chain incorporating an (s, S) inventory control policy, two finite-capacity storage facilities, and Type-I/Type-II inspection errors.
Derived system stability conditions and key steady-state performance measures using the Matrix Geometric Method.
Constructed a total cost function and optimized production, inspection, and service rates using the Particle Swarm Optimization algorithm.
The probability of producing defective items substantially altered all steady-state performance metrics and drove total system costs.
Storage capacity in the post-inspection depot significantly influenced both customer queue lengths and overall operating expenditures.
Achieving minimal cost required simultaneous, coordinated adjustment of production, inspection, and service rates relative to defect probability and depot storage limits.

Cite This Study

Ozkar et al. (2026) studied this question.

synapsesocial.com/papers/6a895f53ca7ade938187de6a https://doi.org/10.15672/hujms.1896092

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Implication

Stochastic modeling study reveals joint optimization of production, inspection, and service rates minimizes system costs under imperfect quality, highlighting the impact of inspection errors.

Steady-state analysis and optimization of a queueing-inventory system under joint impact of imperfect production and inspection processes

Discussion

Member takes

Implication

Key Points

Cite This Study

Steady-state analysis and optimization of a queueing-inventory system under joint impact of imperfect production and inspection processes

Discussion

Member takes

Implication

Key Points

Cite This Study

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