Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  illustrates a computable matrix technique that can be used to derive explicit expressions for the transient state probabilities of a finite waiting space single-server queue, namely (M/M/1/N), having discouraged arrivals and reneging. The discipline is the classical first-come, first-served (FCFS).  obtain the transient solution of the system, with results in terms of the eigenvalues of a symmetric tridiagonal matrix. Finally, numerical calculations are given to illustrate the effectiveness of this technique and system behaviour.
['Sherif I. Ammar', 'A. A. El-Sherbiny', 'S. A. El-Shehawy', 'Ragab Omarah Al-Seedy']
I am writing a research paper on a idea A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging
[{"from": "human", "value": "I am writing a research paper on a idea A matrix approach for the transient solution of an M/M/1/N queue with discouraged arrivals and reneging"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  illustrates a computable matrix technique that can be used to derive explicit expressions for the transient state probabilities of a finite waiting space single-server queue, namely (M/M/1/N), having discouraged arrivals and reneging. The discipline is the classical first-come, first-served (FCFS).  obtain the transient solution of the system, with results in terms of the eigenvalues of a symmetric tridiagonal matrix. Finally, numerical calculations are given to illustrate the effectiveness of this technique and system behaviour."}]