What question did this study set out to answer?

To evaluate and optimize the operational performance and expected total costs of a stochastic dual-service inventory-queueing system featuring heterogeneous multi-servers and an optional feedback retrial option.

December 2, 2023Ain Shams Engineering JournalOpen Access

Performance of a dual service station in stochastic inventory system with multi server and optional feedback service

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Authors

KJK. Jeganathan ASAster Seifu Senae NAN. Anbazhagan

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Overview

Mathematical modeling study demonstrates reduced costs and waiting times in dual-station inventory queues with heterogeneous servers, suggesting enhanced efficiency through varied service rates.

Key Points

To evaluate and optimize the operational performance and expected total costs of a stochastic dual-service inventory-queueing system featuring heterogeneous multi-servers and an optional feedback retrial option.
Modeled a dual-station queueing system governed by an (S−1, S) base stock inventory replenishment policy and an optional classical retrial orbit across four classifications based on orbit capacity (finite vs. infinite) and server service rates (homogeneous vs. heterogeneous).
Calculated steady-state probability vectors for infinite orbit scenarios using the Neuts and Rao truncation method and derived an expected total cost function across all classifications.
Classifications 2 and 4, which featured heterogeneous server service rates across finite and infinite orbit sizes respectively, achieved the minimum optimized expected total operating costs.
Systems with heterogeneous service rates minimized server busy probabilities, mean customer waiting times, and customer loss rates compared to homogeneous server configurations.

Cite This Study

Jeganathan et al. (2023) studied this question.

synapsesocial.com/papers/6a7cb4f258d1f2c7e4c898a3 https://doi.org/10.1016/j.asej.2023.102583

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December 2, 2023Ain Shams Engineering JournalOpen Access

Performance of a dual service station in stochastic inventory system with multi server and optional feedback service

View Full Paper

Ask AI

Bookmark

Authors

KJK. Jeganathan ASAster Seifu Senae NAN. Anbazhagan

Discussion

Member takes

Overview

Mathematical modeling study demonstrates reduced costs and waiting times in dual-station inventory queues with heterogeneous servers, suggesting enhanced efficiency through varied service rates.

Key Points

To evaluate and optimize the operational performance and expected total costs of a stochastic dual-service inventory-queueing system featuring heterogeneous multi-servers and an optional feedback retrial option.
Modeled a dual-station queueing system governed by an (S−1, S) base stock inventory replenishment policy and an optional classical retrial orbit across four classifications based on orbit capacity (finite vs. infinite) and server service rates (homogeneous vs. heterogeneous).
Calculated steady-state probability vectors for infinite orbit scenarios using the Neuts and Rao truncation method and derived an expected total cost function across all classifications.
Classifications 2 and 4, which featured heterogeneous server service rates across finite and infinite orbit sizes respectively, achieved the minimum optimized expected total operating costs.
Systems with heterogeneous service rates minimized server busy probabilities, mean customer waiting times, and customer loss rates compared to homogeneous server configurations.

Cite This Study

Jeganathan et al. (2023) studied this question.

synapsesocial.com/papers/6a7cb4f258d1f2c7e4c898a3 https://doi.org/10.1016/j.asej.2023.102583

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