Skip to content
Snippets Groups Projects
Commit 7618005b authored by Zizhe Wang's avatar Zizhe Wang
Browse files

add model

parent 7344146f
No related branches found
No related tags found
No related merge requests found
Show whitespace changes
Inline Side-by-side
CarSharingSystemDresden.mo 0 → 100644
+ 190
− 0
View file @ 7618005b
model CarSharingSystemCaseStudy
// Parameters
parameter Integer numCars_1 = 10 "Number of cars in the system at starting point";
parameter Integer numUsers_1 = 5 "Number of users in the system at starting point";
parameter Integer numCars_2 = 9 "Number of cars in the system at starting point";
parameter Integer numUsers_2 = 5 "Number of users in the system at starting point";
parameter Real userArrivalRate = 1.0 "User arrival rate (users per time unit)";
parameter Real returnRate = 0.5 "Car return rate";
parameter Real chargingTime = 1.0 "Time to fully charge a car";
parameter Real usageTime = 1.0 "Car usage time by a customer";
parameter Real userPatience = 10.0 "Maximum waiting time for users";
// State variables for objectives
Real totalWaitingTime(start = 0) "Total waiting time for users";
Real totalCarsRented(start = 0) "Total number of cars rented";
Real totalChargingTime(start = 0) "Total charging time for all cars";
discrete Integer usersLeaving(start = 0);
// Discrete Place: Number of free places in the station
PNlib.Components.PD PSCii(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-330, 130}, extent = {{-10, -10}, {10, 10}}, rotation = -90)));
// Stochastic Transition: Car is ready and available for users after charging operation
PNlib.Components.TES TCRi(nIn = 1, nOut = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/chargingTime) annotation(
Placement(transformation(origin = {-282, 56}, extent = {{-10, -10}, {10, 10}})));
// Discrete Place: Cars parked at the station, ready and then available for users
PNlib.Components.PD PSRi(nIn = 1, nOut = 1, startTokens = numCars_1) annotation(
Placement(transformation(origin = {-244, 122}, extent = {{-10, -10}, {10, 10}})));
// Discrete Place: Number of free places in the station
PNlib.Components.PD PSCi(nIn = 1, nOut = 1, startTokens = 0) annotation(
Placement(transformation(origin = {-242, 156}, extent = {{10, -10}, {-10, 10}})));
// Immediate Transition: User demand "satisfied" and then "user departure" from station
PNlib.Components.T TUSi(nIn = 2, nOut = 2) annotation(
Placement(transformation(origin = {-182, 122}, extent = {{-14, -14}, {14, 14}})));
// Discrete Place: Car in use by customers
PNlib.Components.PD PCU(nIn = 3, nOut = 4, startTokens = 5) annotation(
Placement(transformation(origin = {1, 17}, extent = {{21, -21}, {-21, 21}}, rotation = -90)));
// Discrete Place: Users waiting during a given random delay- for available and ready cars in the station
PNlib.Components.PD PSDi(nIn = 1, nOut = 2, startTokens = numUsers_1) annotation(
Placement(transformation(origin = {-304, -12}, extent = {{-10, -10}, {10, 10}})));
// Deterministic transition: User demand “not satisfied” at station
PNlib.Components.TD TUNi(nIn = 1, delay = userPatience) annotation(
Placement(transformation(origin = {-214, -12}, extent = {{-10, -10}, {10, 10}})));
// Stochastic Transition: User demand arrival at station
PNlib.Components.TES TUDi(nOut = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/userArrivalRate) annotation(
Placement(transformation(origin = {-348, -12}, extent = {{-10, -10}, {10, 10}})));
// Stochastic Transition: Car return to station by user. Then, the car is in a charging situation
PNlib.Components.TES TCCi(nIn = 2, nOut = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/chargingTime) annotation(
Placement(transformation(origin = {-318, 166}, extent = {{10, -10}, {-10, 10}})));
// Stochastic Transition: Car picked up for “long” maintenance (e.g. due to an incident/ accident) by service provider
PNlib.Components.TES TCM(nIn = 1, nOut = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/chargingTime) annotation(
Placement(transformation(origin = {222, 160}, extent = {{-10, -10}, {10, 10}})));
// Discrete Place: Cars under maintenance
PNlib.Components.PD PCM(nIn = 1, nOut = 1, startTokens = 2) annotation(
Placement(transformation(origin = {384, 160}, extent = {{-10, -10}, {10, 10}})));
// Stochastic Transition: After maintenance, car is parked at the station Park. It is ready and available for users
PNlib.Components.TES TMPR(nIn = 1, nOut = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/usageTime) annotation(
Placement(transformation(origin = {468, 74}, extent = {{-10, -10}, {10, 10}})));
// Discrete Place: Car in use by customers
PNlib.Components.PD PCU_1(nIn = 2, nOut = 1, startTokens = 3) annotation(
Placement(transformation(origin = {392, -8}, extent = {{10, -10}, {-10, 10}})));
// Stochastic Transition: The car is ready and available for other users, after its charging operation
PNlib.Components.TES TCPR(nIn = 1, nOut = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/returnRate) annotation(
Placement(transformation(origin = {342, -94}, extent = {{-10, -10}, {10, 10}})));
// Discrete Place: Car in use by customers
PNlib.Components.PD PCU_2(nIn = 1, nOut = 1, startTokens = 1) annotation(
Placement(transformation(origin = {296, -130}, extent = {{-10, -10}, {10, 10}})));
// Stochastic transition: Car return to station Park by user. This car will be in charging operation
PNlib.Components.TES TCPc(nIn = 1, nOut = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/usageTime) annotation(
Placement(transformation(origin = {186, -92}, extent = {{-10, -10}, {10, 10}})));
// Immediate Transition: User demand “satisfied” and then “user departure” from station park
PNlib.Components.T TUSp(nIn = 2, nOut = 1) annotation(
Placement(transformation(origin = {113, -7}, extent = {{21, -21}, {-21, 21}})));
// Stochastic Transition: User demand arrival at station park
PNlib.Components.TES TUDp(nIn = 0, nOut = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/userPatience) annotation(
Placement(transformation(origin = {336, 74}, extent = {{10, -10}, {-10, 10}})));
// Helper transition
PNlib.Components.PD P1(nIn = 1, nOut = 2) annotation(
Placement(transformation(origin = {280, 74}, extent = {{10, -10}, {-10, 10}})));
// Stochastic Transition: User demand “not satisfied” at Park. The user leaves the station without having been served
PNlib.Components.TDS TUNp(nIn = 1, distributionType = PNlib.Types.DistributionType.Exponential, h = 1/userPatience) annotation(
Placement(transformation(origin = {144, 74}, extent = {{10, -10}, {-10, 10}})));
inner PNlib.Components.Settings settings(showTokenFlow = true) annotation(
Placement(transformation(origin = {-470, 188}, extent = {{-22, -22}, {22, 22}})));
PNlib.Components.PD PSCii1(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-362, -196}, extent = {{-10, -10}, {10, 10}}, rotation = -90)));
PNlib.Components.TES TCRi1(distributionType = PNlib.Types.DistributionType.Exponential, h = 1/chargingTime, nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-314, -270}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PSRi1(nIn = 1, nOut = 1, startTokens = numCars_2) annotation(
Placement(transformation(origin = {-276, -204}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PSCi1(nIn = 1, nOut = 1, startTokens = 0) annotation(
Placement(transformation(origin = {-274, -170}, extent = {{10, -10}, {-10, 10}})));
PNlib.Components.T TUSi1(nIn = 2, nOut = 2) annotation(
Placement(transformation(origin = {-214, -204}, extent = {{-14, -14}, {14, 14}})));
PNlib.Components.PD PSDi1(nIn = 1, nOut = 2, startTokens = numUsers_2) annotation(
Placement(transformation(origin = {-298, -378}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TD TUNi1(delay = userPatience, nIn = 1) annotation(
Placement(transformation(origin = {-208, -378}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TUDi1(distributionType = PNlib.Types.DistributionType.Exponential, h = 1/userArrivalRate, nOut = 1) annotation(
Placement(transformation(origin = {-342, -378}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TCCi1(distributionType = PNlib.Types.DistributionType.Exponential, h = 1/chargingTime, nIn = 2, nOut = 1) annotation(
Placement(transformation(origin = {-350, -160}, extent = {{10, -10}, {-10, 10}})));
equation
// Calculate total waiting time when users leave
when change(PSDi.tokenFlow.outflow[2]) then
usersLeaving = PSDi.tokenFlow.outflow[2];
// Number of users leaving
totalWaitingTime = pre(totalWaitingTime) + usersLeaving*userPatience;
end when;
// Calculate total number of cars rented
when change(PSRi.tokenFlow.outflow[1]) then
totalCarsRented = PSRi.tokenFlow.outflow[1];
end when;
// Calculate total charging time
when TCCi.active then
totalChargingTime = pre(totalChargingTime) + chargingTime;
end when;
// Connections
connect(TUDi.outPlaces, PSDi.inTransition) annotation(
Line(points = {{-343.2, -12}, {-313.2, -12}}, thickness = 0.5));
connect(PSRi.outTransition[1], TUSi.inPlaces[1]) annotation(
Line(points = {{-233.2, 122}, {-189, 122}}, thickness = 0.5));
connect(PSDi.outTransition[1], TUSi.inPlaces[2]) annotation(
Line(points = {{-293.2, -12}, {-215.4, -12}, {-215.4, 122}, {-189.2, 122}}, thickness = 0.5));
connect(PSDi.outTransition[2], TUNi.inPlaces[1]) annotation(
Line(points = {{-293.2, -12}, {-217.2, -12}}, thickness = 0.5));
connect(PSCi.outTransition[1], TCCi.inPlaces[1]) annotation(
Line(points = {{-252.8, 156}, {-269, 156}, {-269, 166}, {-313, 166}}, thickness = 0.5));
connect(TCCi.outPlaces[1], PSCii.inTransition[1]) annotation(
Line(points = {{-322.8, 166}, {-330.6, 166}, {-330.6, 141}, {-329.8, 141}}, thickness = 0.5));
connect(PSCii.outTransition[1], TCRi.inPlaces[1]) annotation(
Line(points = {{-330, 119.2}, {-330, 56.2}, {-287, 56.2}}, thickness = 0.5));
connect(TCRi.outPlaces[1], PSRi.inTransition[1]) annotation(
Line(points = {{-277.2, 56}, {-277.2, 122}, {-253.4, 122}}, thickness = 0.5));
connect(TCM.outPlaces[1], PCM.inTransition[1]) annotation(
Line(points = {{227, 160}, {373, 160}}, thickness = 0.5));
connect(PCM.outTransition[1], TMPR.inPlaces[1]) annotation(
Line(points = {{395, 160}, {449, 160}, {449, 73.5215}, {463, 73.5215}, {463, 74}}, thickness = 0.5));
connect(TMPR.outPlaces[1], PCU_1.inTransition[1]) annotation(
Line(points = {{473, 74}, {450, 74}, {450, -8}, {403, -8}}, thickness = 0.5));
connect(TCPR.outPlaces[1], PCU_1.inTransition[2]) annotation(
Line(points = {{347, -94}, {347, -51}, {403, -51}, {403, -8}}, thickness = 0.5));
connect(PCU_2.outTransition[1], TCPR.inPlaces[1]) annotation(
Line(points = {{307, -130}, {323, -130}, {323, -94}, {337, -94}}, thickness = 0.5));
connect(TCPc.outPlaces[1], PCU_2.inTransition[1]) annotation(
Line(points = {{191, -92}, {241, -92}, {241, -130}, {285, -130}}, thickness = 0.5));
connect(PCU_1.outTransition[1], TUSp.inPlaces[1]) annotation(
Line(points = {{381, -8}, {123, -8}, {123, -7}}, thickness = 0.5));
connect(TUDp.outPlaces[1], P1.inTransition[1]) annotation(
Line(points = {{331, 74}, {291, 74}}, thickness = 0.5));
connect(P1.outTransition[1], TUNp.inPlaces[1]) annotation(
Line(points = {{269, 74}, {149, 74}}, thickness = 0.5));
connect(P1.outTransition[2], TUSp.inPlaces[2]) annotation(
Line(points = {{269, 74}, {266, 74}, {266, 22}, {123, 22}, {123, -7}}, thickness = 0.5));
connect(PCU.outTransition[1], TCCi.inPlaces[2]) annotation(
Line(points = {{1, 40}, {2.25, 40}, {2.25, 188}, {2, 188}, {2, 189}, {-103, 189}, {-103, 189.25}, {-261, 189.25}, {-261, 189.312}, {-301, 189.312}, {-301, 188.656}, {-313, 188.656}, {-313, 166}}, thickness = 0.5));
connect(PCU.outTransition[2], TCM.inPlaces[1]) annotation(
Line(points = {{1, 40}, {108, 40}, {108, 95}, {199, 95}, {199, 160.812}, {217, 160.812}, {217, 160}}, thickness = 0.5));
connect(PCU.outTransition[3], TCPc.inPlaces[1]) annotation(
Line(points = {{1, 40}, {163, 40}, {163, -92}, {181, -92}}, thickness = 0.5));
connect(TUSi.outPlaces[1], PCU.inTransition[1]) annotation(
Line(points = {{-175, 122}, {-100, 122}, {-100, -48}, {0.5, -48}, {0.5, -6}, {1, -6}}, thickness = 0.5));
connect(TUSi.outPlaces[2], PSCi.inTransition[1]) annotation(
Line(points = {{-175.28, 122}, {-159.28, 122}, {-159.28, 156}, {-232.28, 156}}, thickness = 0.5));
connect(TUSp.outPlaces[1], PCU.inTransition[2]) annotation(
Line(points = {{103, -7}, {53.5, -7}, {53.5, -6}, {1, -6}}, thickness = 0.5));
connect(TUDi1.outPlaces, PSDi1.inTransition) annotation(
Line(points = {{-337.2, -378}, {-307.2, -378}}, thickness = 0.5));
connect(PSRi1.outTransition[1], TUSi1.inPlaces[1]) annotation(
Line(points = {{-265.2, -204}, {-221, -204}}, thickness = 0.5));
connect(PSDi1.outTransition[1], TUSi1.inPlaces[2]) annotation(
Line(points = {{-287.2, -378}, {-159.6, -378}, {-159.6, -204}, {-221.2, -204}}, thickness = 0.5));
connect(PSDi1.outTransition[2], TUNi1.inPlaces[1]) annotation(
Line(points = {{-287.2, -378}, {-211.2, -378}}, thickness = 0.5));
connect(PSCi1.outTransition[1], TCCi1.inPlaces[1]) annotation(
Line(points = {{-284.8, -170}, {-301, -170}, {-301, -160}, {-345, -160}}, thickness = 0.5));
connect(TCCi1.outPlaces[1], PSCii1.inTransition[1]) annotation(
Line(points = {{-354.8, -160}, {-362.6, -160}, {-362.6, -185}, {-361.8, -185}}, thickness = 0.5));
connect(PSCii1.outTransition[1], TCRi1.inPlaces[1]) annotation(
Line(points = {{-362, -206.8}, {-362, -269.8}, {-319, -269.8}}, thickness = 0.5));
connect(TCRi1.outPlaces[1], PSRi1.inTransition[1]) annotation(
Line(points = {{-309.2, -270}, {-309.2, -204}, {-285.4, -204}}, thickness = 0.5));
connect(TUSi1.outPlaces[1], PSCi1.inTransition[1]) annotation(
Line(points = {{-207.28, -204}, {-191.28, -204}, {-191.28, -170}, {-264.28, -170}}, thickness = 0.5));
connect(TUSi1.outPlaces[2], PCU.inTransition[3]) annotation(
Line(points = {{-208, -204}, {2, -204}, {2, -6}}, thickness = 0.5));
connect(PCU.outTransition[4], TCCi1.inPlaces[2]) annotation(
Line(points = {{2, 40}, {-84.5, 40}, {-84.5, -138}, {-346, -138}, {-346, -160}}, thickness = 0.5));
annotation(
uses(PNlib(version = "3.0.0"), Modelica(version = "4.0.0")),
Diagram(graphics = {Text(origin = {-371, -36}, extent = {{3, 0}, {-3, 0}}, textString = "text"), Text(origin = {-312, 234}, extent = {{42, -20}, {-42, 0}}, textString = "Station subnet", fontSize = 12, fontName = "Open Sans"), Rectangle(origin = {-263, 118}, lineColor = {0, 0, 255}, lineThickness = 0.5, extent = {{-121, 98}, {121, -98}}), Rectangle(origin = {-280, -12}, lineColor = {0, 255, 0}, lineThickness = 0.5, extent = {{-104, 30}, {104, -30}}), Text(origin = {-329, -54}, extent = {{55, -6}, {-55, 0}}, textString = "User demand subnet", fontSize = 12, fontName = "Open Sans"), Rectangle(origin = {227, 31}, lineColor = {0, 170, 255}, lineThickness = 0.5, extent = {{-135, 71}, {135, -71}}), Text(origin = {113, 140}, extent = {{85, -54}, {-85, 0}}, textString = "User Demand (park) subnet", fontSize = 12, fontName = "Open Sans"), Polygon(origin = {342, 55}, lineColor = {255, 85, 255}, lineThickness = 0.5, points = {{-154, 111}, {-154, 57}, {32, 57}, {32, -139}, {142, -139}, {142, 137}, {-154, 137}, {-154, 127}, {-154, 111}}), Text(origin = {273, 204}, extent = {{-117, 26}, {117, -26}}, textString = "Car Maintenance (Center) subnet", fontSize = 12, fontName = "Open Sans"), Rectangle(origin = {293, -77}, lineColor = {85, 85, 0}, lineThickness = 0.5, extent = {{-145, 87}, {145, -87}}), Text(origin = {232, -176}, extent = {{-92, 20}, {92, -20}}, textString = "Car-Sharing Park (Center) subnet", fontSize = 12, fontName = "Open Sans"), Text(extent = {{-16, 40}, {-16, 40}}, textString = "text"), Text(origin = {-365, -402}, extent = {{3, 0}, {-3, 0}}, textString = "text"), Text(origin = {-344, -92}, extent = {{42, -20}, {-42, 0}}, textString = "Station subnet", fontSize = 12, fontName = "Open Sans"), Rectangle(origin = {-261, -224}, lineColor = {0, 0, 255}, lineThickness = 0.5, extent = {{-121, 112}, {121, -112}}), Rectangle(origin = {-274, -378}, lineColor = {0, 255, 0}, lineThickness = 0.5, extent = {{-104, 30}, {104, -30}}), Text(origin = {-323, -420}, extent = {{55, -6}, {-55, 0}}, textString = "User demand subnet", fontSize = 12, fontName = "Open Sans")}, coordinateSystem(extent = {{-500, 240}, {500, -440}})),
version = "");
end CarSharingSystemCaseStudy;
0% or .
You are about to add 0 people to the discussion. Proceed with caution.
Please register or to comment