A novel Markovian queueing-inventory model with imperfect production and inspection processes: A hospital case study

Aghsami, Amir; Samimi, Yaser; Aghaei, Abdollah

doi:10.1016/j.cie.2021.107772

Cited by 22 publications

(5 citation statements)

References 71 publications

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“…2) Combining the model presented in this article with other supply chain problems such as pricing, routing, maintenance. 3) Considering a queueing-inventory model in the facilities to serve the arrival customers (Aghsami et al, 2021a;Aghsami et al, 2021b). 4) To tackle the data's uncertainty issue, introduce the model to other uncertain environments like robust or probabilistic methods.…”

Section: Discussionmentioning

confidence: 99%

A meta heuristic approach for reliable capacitated facility joint inventory-location problem with round-trip transportation under imperfect information of disruption in a Fuzzy environment

et al. 2022

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In today’s systems and networks, disruption is inevitable. Designing a reliable system to overcome probable facility disruptions plays a crucial role in planning and management. This article proposes a reliable capacitated facility joint inventory-location problem where location-independent disruption may occur in facilities. The system tries to satisfy customer's demands and considers penalty costs for unmet customer demand. The article aims to minimize total costs such as establishing inventory, uncovered demand’s penalty, and transportation costs. While many articles in this area only use exact methods to solve the problem, this article uses a metaheuristic algorithm, the red deer algorithm, and the exact methods. Various numerical examples have shown the outstanding performance of the red deer algorithm compared to exact methods. Sensitivity analyses show the impacts of various parameters on the objective function and the optimal facility layouts. Lastly, managerial insights will be proposed based on sensitivity analysis.

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Section: Discussionmentioning

confidence: 99%

A meta heuristic approach for reliable capacitated facility joint inventory-location problem with round-trip transportation under imperfect information of disruption in a Fuzzy environment

et al. 2022

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“…food delivery [18], the production-inventory problem [19,20], cellular manufacturing [21,22] telecommunications [23,24], etc. Recently, researchers have applied the queuing theory in the health care system.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Constraint (18) illustrates the expected total number of patients in the formed queue in part𝑖. Constraint (19) shows traffic intensity of the // M M C queue of part𝑖, and the total number of patients in the hospital in different servers is calculated by equation (20). The expected waiting time a patient spends in the formed queue in part 𝑖 is proposed in constraint (21).…”

Section: Mathematical Modelmentioning

confidence: 99%

A novel mathematical model to minimize the total cost of the hospital and COVID-19 outbreak concerning waiting time of patients using Jackson queueing networks, a case study

Ghasemi¹,

Taghipour²,

Aghsami³

et al. 2023

Scientia Iranica

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One of the patients' basic needs when referring to the hospital is to access doctors as soon as possible at a low cost. In this regard, many hospital managers aim to improve healthcare quality.They strive to plan and perform better patient flow in different parts of hospitals. With the widespread of Covid-19, the importance of this matter has become more apparent. Queueing systems are one of the methods that help recognize delays and help to identify bottlenecks. This paper has extended a queue theory model to measure the number of servers in each part of the hospital. The model aims to reduce the hospital's expected total cost, including the waiting time cost of the patients in queues, idle server cost, operating, and the marginal cost of the servers, in a covid-19 pandemic. The proposed model has been solved with Grasshopper Optimization Algorithm (GOA) for large-scale data. Then sensitivity analysis is presented to understand the model better and identify effective parameters.

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“…However, in real situations, system inventories often lose their quality over time and after a certain time (deterministic or random) they become unsuitable for use. Such systems are called systems with perishable inventory and have been studied in detail in numerous works, see, for example, [8][9][10][11][12][13][14][15][16]. Note that inventory damage can occur instantly as a result of some accidents, like power outage, equipment failures, staff negligence, etc.…”

Section: Introductionmentioning

confidence: 99%

Queueing-Inventory Systems with Catastrophes under Various Replenishment Policies

Ozkar,

Melikov,

Sztrik

2023

Mathematics

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We discuss two queueing-inventory systems with catastrophes in the warehouse. Catastrophes occur according to the Poisson process and instantly destroy all items in the inventory. The arrivals of the consumer customers follow a Markovian arrival process and they can be queued in an infinite buffer. The service time of a consumer customer follows a phase-type distribution. The system receives negative customers which have Poisson flows and as soon as a negative customer comes into the system, he causes a consumer customer to leave the system, if any. One of two inventory policies is used in the systems: either (s,S) or (s,Q). If the inventory level is zero when a consumer customer arrives, then this customer is either lost (lost sale) or joins the queue (backorder sale). The system is formulated by a four-dimensional continuous-time Markov chain. Ergodicity condition for both systems is established and steady-state distribution is obtained using the matrix-geometric method. By numerical studies, the influence of the distributions of the arrival process and the service time and the system parameters on performance measures are deeply analyzed. Finally, an optimization study is presented in which the criterion is the minimization of expected total costs and the controlled parameter is warehouse capacity.

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A novel Markovian queueing-inventory model with imperfect production and inspection processes: A hospital case study

Cited by 22 publications

References 71 publications

A meta heuristic approach for reliable capacitated facility joint inventory-location problem with round-trip transportation under imperfect information of disruption in a Fuzzy environment

A meta heuristic approach for reliable capacitated facility joint inventory-location problem with round-trip transportation under imperfect information of disruption in a Fuzzy environment

A novel mathematical model to minimize the total cost of the hospital and COVID-19 outbreak concerning waiting time of patients using Jackson queueing networks, a case study

Queueing-Inventory Systems with Catastrophes under Various Replenishment Policies

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