Fuzzy Queueing Model Using DSW Algorithm
نویسنده
چکیده
-This paper proposes a procedure to construct the membership functions of the performance measures in queueing systems where the interarrival time and service time are Fuzzy numbers. We propose a Fuzzy nature in FM/FM/1 queueing system with finite capacity and calling population are infinite. Approximate method of extension namely DSW(Dong, Shah & Wong) algorithm is used to define membership functions of the performance measures for the Queueing model FM/FM/1 in which the arrival rate and service rate are Fuzzy numbers. DSW algorithm is based on the α – cut representation of fuzzy sets in a standard interval analysis. The discussion of this paper is confined to systems with the Fuzzy variables. Numerical example shows the efficiency of the algorithm.
منابع مشابه
Hotel Location Problem Using Erlang Queuing Model under Uncertainty (RESEARCH NOTE)
Determining and selecting an appropriate location to construct a hotel is one of the most challenging concerns which hotel industry investors are facing with. In this study we attempt to find a suitable response to this research/application need by a mathematical model using the queueing theory and the fuzzy logic. Therefore hotel, the reception system and travelers accommodations are formulate...
متن کاملM/M/c Queue with Single Vacation and (e,d)- Policy under Fuzzy Environment
In this paper we study a multi-server queue with single Vacation (e,d)policy using DSW (Dong, Shah, Wong) algorithm. Vacation rate is fuzzy number. Approximate method of extension namely DSW algorithm is used to define membership functions of the performance measures. It is based on the αcut representation of fuzzy sets in a standard interval analysis. Numerical example is given to test the fea...
متن کاملFuzzy Hierarchical Location-Allocation Models for Congested Systems
There exist various service systems that have hierarchical structure. In hierarchical service networks, facilities at different levels provide different types of services. For example, in health care systems, general centers provide low-level services such as primary health care services, while the specialized hospitals provide high-level services. Because of demand congestion in service networ...
متن کاملOptimizing a priority-discipline queueing model using fuzzy set theory
The aim of this paper is to provide a more realistic description of priority-discipline queueing models by using Fuzzy Set Theory. It develops and optimizes two fuzzy queueing models with priority-discipline, a model with nonpreemptive priorities system and a model with preemptive priorities system, denoted by M̃i /M̃i /1 and M̃i /Fi /1. The first symbol is for a queueing system where arrivals and...
متن کامل