Performance Evaluations of Vehicle Sharing in Closed Queueing Networks System

被引：0

作者：

Wagle B.R. ^{[1
]}

Ghimire R.P. ^{[2
]}

机构：

[1] School of Business, Pokhara University, Dhungepatan, Gandaki, Pokhara

[2] Department of Mathematics, School of Sciences, Kathmandu University, Bagmati, Dhulikhel

来源：

Operations Research Forum | / 5卷 / 2期

关键词：

Closed queueing system; Performance of networks; Queueing networks; Vehicle sharing;

D O I：

10.1007/s43069-024-00315-x

中图分类号：

学科分类号：

摘要：

This investigation deals with performance analysis of vehicle (taxi or motorbike or both) sharing in the structure of a closed queueing network system having M nodes and N number of vehicles. Vehicles provide service to the people who hire it at the junction (node) of the roads. Vehicles are assumed to be either in active mode or in idle mode or in vacation mode. Our main objective is to find normalizing constant by using convolution algorithm with the help of which the various performance measures-utilization of ith vehicle consisting of N vehicles in the network, average number of vehicles at ith node, expected total number of vehicles in the system, average time of a vehicle that it spends in waiting as well as in service in the ith node, total waiting time of a vehicle in the queues in all the nodes, average throughput of a vehicle in ith node in the system as well as system throughput and the probability that there are K or more vehicles in ith node have been derived explicitly. To show real-life applications of the model the numerical results have been computed by using computer software. The model under study may attract the attention of researchers interested in the development of mathematical models of vehicle-sharing problems in the city. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

引用

共 18 条

[1]

Tao Z., Nie Q., Zhang W., Research on travel behavior with car sharing under smart city conditions, J Adv Transp, 2021, pp. 1-13, (2021)

[2]

Ortega A., Tsakalidis A., Haq G., Gkoumas K., Research and innovation in car sharing in Europe: An assessment based on the Transport Research and Innovation Monitoring and Information System (TRIMIS), (2022)

[3]

Ferrero F., Perboli G., Rosano M., Vesco A., Car-sharing services: an annotated review, Sustain Cities Soc, 37, pp. 501-518, (2018)

[4]

Gordon W.J., Newell G.F., Closed queuing systems with exponential servers, Oper Res, 15, 2, pp. 254-265, (1967)

[5]

Basket F., Chandy K.M., Muntz R.R., Palacios F.G., Open, closed, and mixed networks of queues with different classes of customers, J Assoc Comput Mach, 22, 2, pp. 248-260, (1975)

[6]

Smith J.M., Queue decomposition and finite closed queueing network models, Comput Oper Res, 53, pp. 176-193, (2015)

[7]

Buzen J., Computational algorithms for closed queueing networks with exponential servers, CACM, 16, 9, pp. 527-531, (1973)

[8]

Reiser M., Lavenberg S.S., Mean-value analysis of closed multi-chain queuing networks, J ACM, 27, pp. 313-322, (1980)

[9]

Burke P.J., The output of a queueing system, Bell Telephone Laboratories, 4, 6, pp. 699-705, (1956)

[10]

Aliamadi A., Ghahremani-Nahr J., Nozari H., Pricing decisions in the closed-loop supply chain network taking into account the queueing system in production centers, Expert Systems with Application, 212, 6, (2023)

← 1 2 →