------------------------------------------------------------------------------
------------------------------------------------------------------------------
-- Cheddar is a GNU GPL real-time scheduling analysis tool.
-- This program provides services to automatically check schedulability and
-- other performance criteria of real-time architecture models.
--
-- Copyright (C) 2002-2016, Frank Singhoff, Alain Plantec, Jerome Legrand
--
-- The Cheddar project was started in 2002 by 
-- Frank Singhoff, Lab-STICC UMR 6285 laboratory, Université de Bretagne Occidentale
-- 
-- Cheddar has been published in the "Agence de Protection des Programmes/France" in 2008. 
-- Since 2008, Ellidiss technologies also contributes to the development of 
-- Cheddar and provides industrial support.
--
-- The full list of contributors and sponsors can be found in AUTHORS.txt and SPONSORS.txt
--
-- This program is free software; you can redistribute it and/or modify
-- it under the terms of the GNU General Public License as published by
-- the Free Software Foundation; either version 2 of the License, or
-- (at your option) any later version.
--
-- This program is distributed in the hope that it will be useful,
-- but WITHOUT ANY WARRANTY; without even the implied warranty of
-- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-- GNU General Public License for more details.
--
-- You should have received a copy of the GNU General Public License
-- along with this program; if not, write to the Free Software
-- Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
--
--
-- Contact : cheddar@listes.univ-brest.fr
--           
------------------------------------------------------------------------------
-- Last update : 
--    $Rev: 1249 $
--    $Date: 2014-08-28 07:02:15 +0200 (Fri, 28 Aug 2014) $
--    $Author: singhoff $
------------------------------------------------------------------------------
------------------------------------------------------------------------------

package body Queueing_System.theoretical.Mm1 is

   procedure Initialize
     (A_Queueing_System : in out Mm1_Queueing_System_theoretical)
   is
   begin
      Initialize (Generic_Queueing_System_theoretical (A_Queueing_System));

      A_Queueing_System.Queueing_System_Type := Qs_Mm1;
   end Initialize;

   procedure Qs_Average_Waiting_Time
     (A_Queueing_System : in Mm1_Queueing_System_theoretical;
      Result            : in out Double)
   is

      Arrival_Rate : constant Double :=
        A_Queueing_System.Arrival_Rate.entries (0).data;
      Service_Rate : constant Double :=
        A_Queueing_System.Service_Rate.entries (0).data;
   begin
      Result := 1.0 /
                (Service_Rate * (1.0 - Arrival_Rate / Service_Rate));
   end Qs_Average_Waiting_Time;

   procedure Qs_Average_Number_Customer
     (A_Queueing_System : in Mm1_Queueing_System_theoretical;
      Result            : in out Double)
   is

      Rho : constant Double :=
        A_Queueing_System.Arrival_Rate.entries (0).data /
        A_Queueing_System.Service_Rate.entries (0).data;
   begin
      Result := Rho / (1.0 - Rho);
   end Qs_Average_Number_Customer;

   procedure Qs_Maximum_Number_Customer
     (A_Queueing_System : in Mm1_Queueing_System_theoretical;
      Result            : in out Double)
   is
   begin
      Result := 0.0;
      --      raise Not_Implemented;
   end Qs_Maximum_Number_Customer;

   procedure Qs_Maximum_Waiting_Time
     (A_Queueing_System : in Mm1_Queueing_System_theoretical;
      Result            : in out Double)
   is
   begin
      Result := 0.0;
      --      raise Not_Implemented;
   end Qs_Maximum_Waiting_Time;

   function Get_Probability_Of_State
     (A_Queueing_System : in Mm1_Queueing_System_theoretical;
      N                 : in Natural)
      return              Double
   is
      Rau    : constant Double :=
        A_Queueing_System.Arrival_Rate.entries (0).data /
        A_Queueing_System.Service_Rate.entries (0).data;
      Result : Double;
   begin
      Result := Pow (Rau, Double (N));
      Result := Result * (1.0 - Rau);

      return (Result);
   end Get_Probability_Of_State;

end Queueing_System.theoretical.Mm1;