SOLVING OF WAITING LINES MODELS IN THE AIRPORT USING QUEUING THEORY MODEL AND LINEAR PROGRAMMING THE PRACTICE CASE : A.I.M.H.B

Houda Mehri (1) , Taoufik Djemel (1) , Hichem Kammoun (1)

1 GIAD - Unité de Recherche en Gestion Industrielle et Aide à la Décision

Waiting lines and service systems are important parts of the business world .In this article we describe several common queuing situations and present mathematical models for analysing waiting lines following certain assumptions. Those assumptions are that (1) arrivals come from an infinite or very large population, (2) arrivals are Poisson distributed,(3) arrivals are treated on a FIFO basis and do not balk or renege,(4) service times follow the negative exponential distribution or are constant, and (5) the average service rate is faster than the average arrival rate. The model illustrated in this airport for passengers on a level with reservation is the multiple-channel queuing model with Poisson Arrival and Exponential Service Times (M/M/S).After a series of operating characteristics are computed, total expected costs are studied, total costs is the sum of the cost of providing service plus the cost of waiting time. We also study the Tunisian aerial transport, while analysing the situation of the latter, we have privately chose to develop the waiting line's problem on a level with landing on a runway. Among the different cause of this waiting, we were limited in which that in relation to the weakness on a level with the programming of flights by the civil aviation direction, as far as that goes we have been enumerated the main studies which have been consecrated in this reason. Finally, one way to resolve the waiting problem, a good linear programming is taken into consideration. On the basis of this analysis, we have chosen to apply the developed model in to real case in order to value the contribution which is able to generate the settling in such models in Tunisian airport.

Mots clés: Congestion; Service; FIFO; M/M/s; Poisson distribution; Queue; Service cost; Unlimited or Infinite Population; Utilisation Factor; Waiting cost; Waiting Time; Landing; agents; the approach control; estimated time of arrival; linear programming; optimisation; waiting in air; Congestion.

Domaines: Recherche opérationnelle [math.OC]

Houda Mehri, Taoufik Djemel, Hichem Kammoun. SOLVING OF WAITING LINES MODELS IN THE AIRPORT USING QUEUING THEORY MODEL AND LINEAR PROGRAMMING THE PRACTICE CASE : A.I.M.H.B. 2006. ⟨hal-00263072v2⟩