A Mathematical Model of an Insurance Company in the Form of a Queueing System with an Unlimited Number of Servers Considering One-Time Insurance Payments

2016 ◽  
pp. 34-43 ◽  
Author(s):  
Diana Dammer
Keyword(s):  
Mathematical Model ◽  
Queueing System ◽  
Insurance Company ◽  
Unlimited Number

scholarly journals INCREASING THE COMPETITIVENESS OF INSURANCE COMPANY PRODUCTS AND SERVICES USING ECONOMIC AND MATHEMATICAL MODELING METHODS

2021 ◽  
Author(s):  
Mykhailo Demydenko ◽  
Ihor Pistunov
Keyword(s):  
Mathematical Model ◽  
Social Activity ◽  
Insurance Companies ◽  
Comprehensive System ◽  
Insurance Company ◽  
Competitive Advantages ◽  
Insurance Policy ◽  
Insurance Policies ◽  
The Impact

The competitiveness of an insurance company depends on the competitiveness of the products and services it introduces in the market. The competitive advantages of the insurance company are expressed in the attractiveness and competitiveness of insurance policies. An economic and mathematical model of increasing the competitiveness of the insurance company is proposed, which allows to calculate the integrated indicator of competitiveness of the insurance policy based on a comprehensive system of indicators characterizing the reliability of the insurance company, quality of its services, competitiveness, social activity. To analyze the impact of these indicators on the competitiveness of the insurance policy and identify areas for improving the efficiency and competitiveness of the insurance company. The competitiveness of an insurance company depends on the competitiveness of the products and services it introduces in the market. The assessment of the quality of insurance company services is compliance with the needs, requirements, and insurance interests of customers. This assessment is performed each time an individual client chooses to cooperate with an insurance company that meets his insurance interests and wishes. Therefore, the overall competitiveness of the enterprise depends on the competitiveness of products and services offered on the market. The competitive advantages of the insurance company are expressed in the attractiveness and competitiveness of insurance policies. The insurance market in recent years has shown consistently high growth, which makes it attractive for doing business. In these conditions, the task of modeling the activities of the insurance company in a highly competitive market environment becomes relevant. A mathematical model of increasing the competitiveness of the insurance company is proposed, which allows to calculate the integrated indicator of competitiveness of the insurance policy based on a comprehensive system of indicators characterizing the reliability of the insurance company, quality of its services, competitiveness, social activity. With the proposed model, insurance companies can objectively assess their weaknesses and strengths to ensure continuous growth and decent competition in a competitive market environment. The model allows you to select performance indicators and perform modeling and determine the consequences of changes in this indicator, analyze the impact of these indicators on the competitiveness of insurance policies and identify areas for improving the efficiency and competitiveness of the insurance company. By conducting such experiments, insurance companies can make more informed choices and decisions, analyze areas of competitiveness, and more efficiently allocate resources.

scholarly journals Mathematical Model of One-Channel Queueing System with Two-Stage Remand Arrival

2020 ◽  
pp. 54-61
Author(s):  
L. A. Votiakova ◽  
◽  
O. S. Turzhanska ◽  
O. A. Nazarchuk ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Queueing System ◽  
Two Stage

scholarly journals Mathematical Models of Mb/M/1 Bulk Arrival Queueing System

2014 ◽  
Vol 10 (1) ◽  
pp. 184-191 ◽  
Author(s):  
Sushil Ghimire ◽  
R. P. Ghimire ◽  
Gyan Bahadur Thapa
Keyword(s):  
Mathematical Model ◽  
Function Method ◽  
Queueing System ◽  
Batch Size ◽  
Queueing Model ◽  
Mean Waiting Time ◽  
Bulk Arrival ◽  
Number Of Customers ◽  
The Mathematical Model ◽  
Mean Time

 This paper deals with the study of bulk queueing model with the fixed batch size ‘b’ and customers arrive to the system with Poisson fashion with the rate λ and are severed exponentially with the rate μ. On formulating the mathematical model, we obtain the expressions for mean waiting time in the queue, mean time spent in the system, mean number of customers/work pieces in the queue and in the system by using generating function method. Some numerical illustrations are also obtained by using MATLAB-7 so as to show the applicability of the model under study.DOI: http://dx.doi.org/10.3126/jie.v10i1.10899Journal of the Institute of Engineering, Vol. 10, No. 1, 2014, pp. 184–191

scholarly journals Multi-server queueing system with reserve servers

2019 ◽  
pp. 57-70
Author(s):  
Valentina I. Klimenok
Keyword(s):  
Mathematical Model ◽  
Energy Consumption ◽  
Service Time ◽  
Stochastic Systems ◽  
Queueing System ◽  
Arrival Process ◽  
Batch Markovian Arrival Process ◽  
Finite Set ◽  
And Performance ◽  
Multi Server

In this paper, we investigate a multi-server queueing system with an unlimited buffer, which can be used in the design of energy consumption schemes and as a mathematical model of unreliable real stochastic systems. Customers arrive to the system in a batch Markovian arrival process, the service times are distributed according to the phase law. If the service time of the customer by the server exceeds a certain random value distributed according to the phase law, this server receives assistance from the reserve server from a finite set of reserve servers. In the paper, we calculate the stationary distribution and performance characteristics of the system.

Constrained admission control to a queueing system

1989 ◽  
Vol 21 (2) ◽  
pp. 409-431 ◽  
Author(s):  
Arie Hordijk ◽  
Flos Spieksma
Keyword(s):  
Mathematical Model ◽  
Cost Function ◽  
Admission Control ◽  
Optimal Policy ◽  
Efficient Algorithm ◽  
Queueing System ◽  
Markov Decision ◽  
Service Rates ◽  
Good Policy ◽  
Proper Balance

We consider an exponential queue with arrival and service rates depending on the number of jobs present in the queue. The queueing system is controlled by restricting arrivals. Typically, a good policy should provide a proper balance between throughput and congestion. A mathematical model for computing such a policy is a Markov decision chain with rewards and a constrained cost function. We give general conditions on the reward and cost function which guarantee the existence of an optimal threshold or thinning policy. An efficient algorithm for computing an optimal policy is constructed.

scholarly journals M(t)/M/1 Queueing System with Sinusoidal Arrival Rate

2016 ◽  
Vol 11 (1) ◽  
pp. 120-127
Author(s):  
A. P. Pant ◽  
R. P. Ghimire
Keyword(s):  
Mathematical Model ◽  
Waiting Time ◽  
Queueing System ◽  
Arrival Rate ◽  
Rate Function ◽  
Recursive Method ◽  
Mean Waiting Time ◽  
Number Of Customers ◽  
The Mathematical Model ◽  
Mean Time

This paper deals with the study of M (t)/M/1 queueing system with customers arrive to the system with sinusoidal arrival rate function λ (t) and are served exponentially with the rate μ. On formulating the mathematical model, we obtain the expressions for mean waiting time in the queue, mean time spent in the system, mean number of customers in the queue and in the system by using recursive method. Some numerical illustrations are also obtained by using computing software so as to show the applicability of the model under study.Journal of the Institute of Engineering, 2015, 11(1): 120-127

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