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Commit 6c4732b6 authored by Zizhe Wang's avatar Zizhe Wang
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CarSharing.mo 0 → 100644
+ 61
− 0
View file @ 6c4732b6
model CarSharing
PNlib.Components.PD PSCii(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-72, 8}, extent = {{-10, -10}, {10, 10}}, rotation = -90)));
PNlib.Components.TES TCRi(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-44, -28}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PSRi(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-8, 0}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PSCi(nIn = 1, nOut = 1, startTokens = 6) annotation(
Placement(transformation(origin = {-6, 34}, extent = {{10, -10}, {-10, 10}}, rotation = -0)));
PNlib.Components.T TUSi(nIn = 2, nOut = 2) annotation(
Placement(transformation(origin = {32, 0}, extent = {{-14, -14}, {14, 14}})));
PNlib.Components.PD PCU(nIn = 1, nOut = 1, startTokens = 5) annotation(
Placement(transformation(origin = {86, 22}, extent = {{10, -10}, {-10, 10}}, rotation = -90)));
PNlib.Components.PD PSDi(nIn = 1, nOut = 2, startTokens = 1) annotation(
Placement(transformation(origin = {-36, -72}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TD TUNi(nIn = 1) annotation(
Placement(transformation(origin = {54, -72}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TUDi(nOut = 1) annotation(
Placement(transformation(origin = {-80, -72}, extent = {{-10, -10}, {10, 10}})));
inner PNlib.Components.Settings settings(showTokenFlow = true) annotation(
Placement(transformation(origin = {-168, 98}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TCCi(nIn = 2, nOut = 1) annotation(
Placement(transformation(origin = {-44, 62}, extent = {{10, -10}, {-10, 10}}, rotation = -0)));
equation
connect(TUDi.outPlaces, PSDi.inTransition) annotation(
Line(points = {{-76, -72}, {-46, -72}}, thickness = 0.5));
connect(TUSi.outPlaces[1], PCU.inTransition[1]) annotation(
Line(points = {{38, 0}, {86, 0}, {86, 12}}, thickness = 0.5));
connect(TUSi.outPlaces[2], PSCi.inTransition[1]) annotation(
Line(points = {{38, 0}, {48, 0}, {48, 33}, {4, 33}, {4, 34}}, thickness = 0.5));
connect(PSRi.outTransition[1], TUSi.inPlaces[1]) annotation(
Line(points = {{2, 0}, {26, 0}}, thickness = 0.5));
connect(PSDi.outTransition[1], TUSi.inPlaces[2]) annotation(
Line(points = {{-26, -72}, {20, -72}, {20, 0}, {26, 0}}, thickness = 0.5));
connect(PSDi.outTransition[2], TUNi.inPlaces[1]) annotation(
Line(points = {{-26, -72}, {50, -72}}, thickness = 0.5));
connect(PSCi.outTransition[1], TCCi.inPlaces[1]) annotation(
Line(points = {{-16, 34}, {-40, 34}, {-40, 62}}, thickness = 0.5));
connect(PCU.outTransition[1], TCCi.inPlaces[2]) annotation(
Line(points = {{86, 32}, {54.5, 32}, {54.5, 66}, {55, 66}, {55, 64}, {24, 64}, {24, 65}, {-40, 65}, {-40, 62}}, thickness = 0.5));
connect(TCCi.outPlaces[1], PSCii.inTransition[1]) annotation(
Line(points = {{-48, 62}, {-72, 62}, {-72, 18}}, thickness = 0.5));
connect(PSCii.outTransition[1], TCRi.inPlaces[1]) annotation(
Line(points = {{-72, -2}, {-48, -2}, {-48, -28}}, thickness = 0.5));
connect(TCRi.outPlaces[1], PSRi.inTransition[1]) annotation(
Line(points = {{-40, -28}, {-18, -28}, {-18, 0}}, thickness = 0.5));
annotation(
uses(PNlib(version = "3.0.0")),
Diagram(graphics = {Text(origin = {-166, -72}, extent = {{74, -9}, {0, 9}}, textString = "User demand arrival at station
(stochastic transition)"), Text(origin = {-103, -96}, extent = {{3, 0}, {-3, 0}}, textString = "text"), Text(origin = {-26, -106}, extent = {{68, -24}, {-68, 24}}, textString = "Users (demands) waiting -during a given random
delay- for available and ready cars in the station."), Text(origin = {90, -95}, extent = {{-54, 23}, {54, -23}}, textString = "User demand “not satisfied” at station. The
user leaves the station without having been
served. (Deterministic transition)"), Text(origin = {-109, -30}, extent = {{-45, 28}, {45, -28}}, textString = "Car is ready after its charging operation
(stochastic transition)"), Text(origin = {-133, 11}, extent = {{-43, 21}, {43, -21}}, textString = "Cars parked at the station but still
under charging, not yet available for users."), Text(origin = {-9, 88}, extent = {{-57, 14}, {57, -14}}, textString = "Cars return to station by user.
Then, the car is in a charging situation
(stochastic transition)"), Text(origin = {23, 51}, extent = {{-49, 9}, {49, -9}}, textString = "Cars parked at the station but still
under charging, not yet available for users."), Text(origin = {-6, 15}, extent = {{-24, 5}, {24, -5}}, textString = "Cars are ready"), Text(origin = {72, -21}, extent = {{-42, 17}, {42, -17}}, textString = "User demand \"satisfied\",
then \"user departure\" from station.
(immediate transition)"), Text(origin = {87, 38}, extent = {{-13, 4}, {13, -4}}, textString = "Cars in use")}));
end CarSharing;
CarSharingSystem.mo 0 → 100644
+ 145
− 0
View file @ 6c4732b6
model CarSharingSystem
// Parameters
parameter Integer numCars = 50 "Number of cars in the system";
parameter Integer numUsers = 50 "Number of users in the system";
// Discrete Places
PNlib.Components.PD PSCii(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-306, 90}, extent = {{-10, -10}, {10, 10}}, rotation = -90)));
PNlib.Components.TES TCRi(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-278, 54}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PSRi(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-242, 82}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PSCi(nIn = 1, nOut = 1, startTokens = numCars) annotation(
Placement(transformation(origin = {-240, 116}, extent = {{10, -10}, {-10, 10}})));
PNlib.Components.T TUSi(nIn = 2, nOut = 2) annotation(
Placement(transformation(origin = {-202, 82}, extent = {{-14, -14}, {14, 14}})));
PNlib.Components.PD PCU(nIn = 3, nOut = 4, startTokens = 0) annotation(
Placement(transformation(origin = {26, 36}, extent = {{20, -20}, {-20, 20}}, rotation = -90)));
PNlib.Components.PD PSDi(nIn = 1, nOut = 2, startTokens = numUsers) annotation(
Placement(transformation(origin = {-270, 10}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TD TUNi(nIn = 1) annotation(
Placement(transformation(origin = {-180, 10}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TUDi(nOut = 1) annotation(
Placement(transformation(origin = {-314, 10}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TCCi(nIn = 2, nOut = 1) annotation(
Placement(transformation(origin = {-272, 144}, extent = {{10, -10}, {-10, 10}})));
PNlib.Components.PD PSCii1(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-132, -56}, extent = {{-10, -10}, {10, 10}}, rotation = -90)));
PNlib.Components.TES TCRi1(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-104, -92}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PSRi1(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-68, -64}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PSCi1(nIn = 1, nOut = 1, startTokens = 6) annotation(
Placement(transformation(origin = {-66, -30}, extent = {{10, -10}, {-10, 10}})));
PNlib.Components.T TUSi1(nIn = 2, nOut = 2) annotation(
Placement(transformation(origin = {-28, -64}, extent = {{-14, -14}, {14, 14}})));
PNlib.Components.PD PSDi1(nIn = 1, nOut = 2, startTokens = 1) annotation(
Placement(transformation(origin = {-96, -136}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TD TUNi1(nIn = 1) annotation(
Placement(transformation(origin = {-6, -136}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TUDi1(nOut = 1) annotation(
Placement(transformation(origin = {-140, -136}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TCCi1(nIn = 2, nOut = 1) annotation(
Placement(transformation(origin = {-104, -2}, extent = {{10, -10}, {-10, 10}})));
PNlib.Components.TES TCM(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {216, 142}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PCM(nIn = 1, nOut = 1, startTokens = 2) annotation(
Placement(transformation(origin = {382, 178}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TMPR(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {384, 74}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PCU_1(nIn = 2, nOut = 1, startTokens = 3) annotation(
Placement(transformation(origin = {392, -8}, extent = {{10, -10}, {-10, 10}})));
PNlib.Components.TES TCPR(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {342, -94}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.PD PCU_2(nIn = 1, nOut = 1, startTokens = 1) annotation(
Placement(transformation(origin = {252, -130}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.TES TCPc(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {166, -92}, extent = {{-10, -10}, {10, 10}})));
PNlib.Components.T TUSp(nIn = 2, nOut = 1) annotation(
Placement(transformation(origin = {117, -7}, extent = {{21, -21}, {-21, 21}})));
PNlib.Components.TES TUDp(nIn = 0, nOut = 1) annotation(
Placement(transformation(origin = {336, 72}, extent = {{10, -10}, {-10, 10}})));
PNlib.Components.PD P1(nIn = 1, nOut = 2) annotation(
Placement(transformation(origin = {278, 74}, extent = {{10, -10}, {-10, 10}})));
PNlib.Components.TDS TUNp(nIn = 1) annotation(
Placement(transformation(origin = {144, 82}, extent = {{10, -10}, {-10, 10}})));
inner PNlib.Components.Settings settings(showTokenFlow = true) annotation(
Placement(transformation(origin = {-356, 208}, extent = {{-10, -10}, {10, 10}})));
equation
connect(TUDi.outPlaces, PSDi.inTransition) annotation(
Line(points = {{-309.2, 10}, {-279.2, 10}}, thickness = 0.5));
connect(TUSi.outPlaces[1], PCU.inTransition[1]) annotation(
Line(points = {{-195.28, 82}, {-77.92, 82}, {-77.92, 14}, {26, 14}}, thickness = 0.5));
connect(TUSi.outPlaces[2], PSCi.inTransition[1]) annotation(
Line(points = {{-195.28, 82}, {-185.28, 82}, {-185.28, 115}, {-229.28, 115}, {-229.28, 116}}, thickness = 0.5));
connect(PSRi.outTransition[1], TUSi.inPlaces[1]) annotation(
Line(points = {{-231.2, 82}, {-207.2, 82}}, thickness = 0.5));
connect(PSDi.outTransition[1], TUSi.inPlaces[2]) annotation(
Line(points = {{-259.2, 10}, {-213.2, 10}, {-213.2, 82}, {-207.2, 82}}, thickness = 0.5));
connect(PSDi.outTransition[2], TUNi.inPlaces[1]) annotation(
Line(points = {{-259.2, 10}, {-183.2, 10}}, thickness = 0.5));
connect(PSCi.outTransition[1], TCCi.inPlaces[1]) annotation(
Line(points = {{-250.8, 116}, {-267, 116}, {-267, 144}}, thickness = 0.5));
connect(PCU.outTransition[1], TCCi.inPlaces[2]) annotation(
Line(points = {{26, 58}, {26, 143.2}, {-132, 143.2}, {-132, 144.2}, {-267, 144.2}, {-267, 143.6}}, thickness = 0.5));
connect(TCCi.outPlaces[1], PSCii.inTransition[1]) annotation(
Line(points = {{-276.8, 144}, {-306.6, 144}, {-306.6, 100}}, thickness = 0.5));
connect(PSCii.outTransition[1], TCRi.inPlaces[1]) annotation(
Line(points = {{-306, 79.2}, {-282, 79.2}, {-282, 53.2}}, thickness = 0.5));
connect(TCRi.outPlaces[1], PSRi.inTransition[1]) annotation(
Line(points = {{-273.2, 54}, {-251.2, 54}, {-251.2, 82}}, thickness = 0.5));
connect(TUDi1.outPlaces, PSDi1.inTransition) annotation(
Line(points = {{-135.2, -136}, {-107.2, -136}}, thickness = 0.5));
connect(PSRi1.outTransition[1], TUSi1.inPlaces[1]) annotation(
Line(points = {{-57.2, -64}, {-35.2, -64}}, thickness = 0.5));
connect(PSDi1.outTransition[1], TUSi1.inPlaces[2]) annotation(
Line(points = {{-85.2, -136}, {-45.4, -136}, {-45.4, -64}, {-35.2, -64}}, thickness = 0.5));
connect(PSDi1.outTransition[2], TUNi1.inPlaces[1]) annotation(
Line(points = {{-85.2, -136}, {-11.2, -136}}, thickness = 0.5));
connect(PSCi1.outTransition[1], TCCi1.inPlaces[1]) annotation(
Line(points = {{-76.8, -30}, {-98.8, -30}, {-98.8, -2}}, thickness = 0.5));
connect(TCCi1.outPlaces[1], PSCii1.inTransition[1]) annotation(
Line(points = {{-108.8, -2}, {-131.8, -2}, {-131.8, -45}}, thickness = 0.5));
connect(PSCii1.outTransition[1], TCRi1.inPlaces[1]) annotation(
Line(points = {{-132, -66.8}, {-109, -66.8}, {-109, -91.8}}, thickness = 0.5));
connect(TCRi1.outPlaces[1], PSRi1.inTransition[1]) annotation(
Line(points = {{-99.2, -92}, {-79.2, -92}, {-79.2, -64}}, thickness = 0.5));
connect(PCU.outTransition[2], TCCi1.inPlaces[2]) annotation(
Line(points = {{26, 58}, {-4, 58}, {-4, 117.2}, {-99, 117.2}, {-99, -2.4}}, thickness = 0.5));
connect(TCM.outPlaces[1], PCM.inTransition[1]) annotation(
Line(points = {{221, 142}, {261, 142}, {261, 178}, {371, 178}}, thickness = 0.5));
connect(PCM.outTransition[1], TMPR.inPlaces[1]) annotation(
Line(points = {{393, 178}, {407, 178}, {407, 80.5}, {379, 80.5}, {379, 74}}, thickness = 0.5));
connect(TMPR.outPlaces[1], PCU_1.inTransition[1]) annotation(
Line(points = {{389, 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 = {{263, -130}, {337, -130}, {337, -94}}, thickness = 0.5));
connect(TCPc.outPlaces[1], PCU_2.inTransition[1]) annotation(
Line(points = {{171, -92}, {241, -92}, {241, -130}}, thickness = 0.5));
connect(PCU_1.outTransition[1], TUSp.inPlaces[1]) annotation(
Line(points = {{381, -8}, {127, -8}, {127, -7}}, thickness = 0.5));
connect(TUDp.outPlaces[1], P1.inTransition[1]) annotation(
Line(points = {{331, 72}, {326, 72}, {326, 74}, {289, 74}}, thickness = 0.5));
connect(P1.outTransition[1], TUNp.inPlaces[1]) annotation(
Line(points = {{267, 74}, {149, 74}, {149, 82}}, thickness = 0.5));
connect(P1.outTransition[2], TUSp.inPlaces[2]) annotation(
Line(points = {{267, 74}, {242, 74}, {242, 22}, {127, 22}, {127, -7}}, thickness = 0.5));
connect(TUSp.outPlaces[1], PCU.inTransition[3]) annotation(
Line(points = {{107, -7}, {90, -7}, {90, 14}, {26, 14}}, thickness = 0.5));
connect(PCU.outTransition[3], TCM.inPlaces[1]) annotation(
Line(points = {{26, 58}, {211, 58}, {211, 142}}, thickness = 0.5));
connect(PCU.outTransition[4], TCPc.inPlaces[1]) annotation(
Line(points = {{26, 58}, {70, 58}, {70, -85.5}, {71, -85.5}, {71, -91.75}, {161, -91.75}, {161, -92}}, thickness = 0.5));
connect(TUSi1.outPlaces[2], PCU.inTransition[2]) annotation(
Line(points = {{-22, -64}, {26, -64}, {26, 14}}, thickness = 0.5));
connect(TUSi1.outPlaces[1], PSCi1.inTransition[1]) annotation(
Line(points = {{-22, -64}, {-39, -64}, {-39, -46}, {-56, -46}, {-56, -30}}, thickness = 0.5));
annotation(
uses(PNlib(version = "3.0.0")),
Diagram(graphics = {Text(origin = {-337, -14}, extent = {{3, 0}, {-3, 0}}, textString = "text"), Text(origin = {-115, -90}, extent = {{3, 0}, {-3, 0}}, textString = "text"), Text(origin = {-304, 192}, extent = {{42, -20}, {-42, 0}}, textString = "Station subnet"), Rectangle(origin = {-245, 103}, lineColor = {0, 0, 255}, lineThickness = 0.5, extent = {{-103, 71}, {103, -71}}), Rectangle(origin = {-257, 5}, lineColor = {0, 255, 0}, lineThickness = 0.5, extent = {{-91, 23}, {91, -23}}), Text(origin = {-304, -20}, extent = {{42, -20}, {-42, 0}}, textString = "User demand subnet"), Rectangle(origin = {224, 30}, lineColor = {0, 170, 255}, lineThickness = 0.5, extent = {{-132, 72}, {132, -72}}), Text(origin = {121, 136}, extent = {{57, -48}, {-57, 0}}, textString = "User Demand (park) subnet"), 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, 201}, extent = {{-81, 25}, {81, -25}}, textString = "Car Maintenance (Center) subnet"), Rectangle(origin = {293, -77}, lineColor = {85, 85, 0}, lineThickness = 0.5, extent = {{-145, 87}, {145, -87}}), Text(origin = {227, -176}, extent = {{-73, 20}, {73, -20}}, textString = "Car-Sharing Park (Center) subnet"), Text(extent = {{-16, 40}, {-16, 40}}, textString = "text"), Text(origin = {-20, 48}, extent = {{-26, 16}, {26, -16}}, textString = "Cars in use"), Text(origin = {-339, 67}, extent = {{-37, 35}, {37, -35}}, textString = "Charging of cars"), Text(origin = {-204, 63}, extent = {{-32, 7}, {32, -7}}, textString = "Cars are ready")}, coordinateSystem(extent = {{-380, 240}, {500, -200}})),
version = "");
end CarSharingSystem;
CarSharingSystem.png 0 → 100644
+ 0
− 0
View file @ 6c4732b6
CarSharingSystem.png

35.4 KiB

CarSharingSystemSimplified.mo 0 → 100644
+ 159
− 0
View file @ 6c4732b6
model CarSharingSystemSimplified
// Parameters
parameter Integer numCars = 10 "Number of cars in the system";
parameter Integer numUsers = 5 "Number of users in the system";
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 = 2.0 "Maximum waiting time for users";
// State variables for objectives
Real totalWaitingTime(start=0) "Total waiting time for users";
Real carUtilization(start=0) "Car utilization over time";
Real carsInUse(start=0) "Number of cars in use";
// Discrete Variables for Intermediate Calculations
discrete Real waitingTimeIncrement(start=0);
discrete Real carUtilizationIncrement(start=0);
// Discrete Place: Number of free places in the station
PNlib.Components.PD PSCii(nIn = 1, nOut = 1) annotation(
Placement(transformation(origin = {-306, 90}, 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 = {-278, 54}, 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) annotation(
Placement(transformation(origin = {-242, 82}, 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 = {-240, 116}, 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 = {-202, 82}, extent = {{-14, -14}, {14, 14}})));
// Discrete Place: Car in use by customers
PNlib.Components.PD PCU(nIn = 2, nOut = 3, startTokens = 0) annotation(
Placement(transformation(origin = {1, 23}, 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) annotation(
Placement(transformation(origin = {-270, 10}, extent = {{-10, -10}, {10, 10}})));
// Deterministic transition: User demand “not satisfied” at station
PNlib.Components.TD TUNi(nIn = 1) annotation(
Placement(transformation(origin = {-180, 10}, 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/userPatience) annotation(
Placement(transformation(origin = {-314, 10}, extent = {{-10, -10}, {10, 10}})));
// Stochastic Transition: Car return to station Si 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 = {-288, 144}, 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 = {216, 142}, extent = {{-10, -10}, {10, 10}})));
// Discrete Place: Cars under maintainance
PNlib.Components.PD PCM(nIn = 1, nOut = 1, startTokens = 2) annotation(
Placement(transformation(origin = {382, 178}, 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 = {384, 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 = {252, -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 = {166, -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 = {117, -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, 72}, extent = {{10, -10}, {-10, 10}})));
// Helper transition
PNlib.Components.PD P1(nIn = 1, nOut = 2) annotation(
Placement(transformation(origin = {278, 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, 82}, extent = {{10, -10}, {-10, 10}})));
inner PNlib.Components.Settings settings(showTokenFlow = true) annotation(
Placement(transformation(origin = {-356, 208}, extent = {{-10, -10}, {10, 10}})));
equation
// Objective Equations
// totalWaitingTime = numUsers * userPatience * (1 - returnRate); // Total waiting time is number of users multiplied by their patience
// carUtilization = (numUsers * usageTime) / (numCars * (usageTime + chargingTime + (1 / returnRate))); // Car utilization is based on usage time
// Objective Equations
// Calculate waiting time when users leave without getting a car
when change(PSDi.t) then
waitingTimeIncrement = (pre(PSDi.t) - PSDi.t) * userPatience;
totalWaitingTime = pre(totalWaitingTime) + waitingTimeIncrement;
end when;
// Calculate car utilization
when change(PSRi.t) then
carsInUse = numCars - PSRi.t;
carUtilizationIncrement = carsInUse * usageTime / (numCars * (time + Modelica.Constants.eps));
carUtilization = pre(carUtilization) + carUtilizationIncrement;
end when;
// Connections
connect(TUDi.outPlaces, PSDi.inTransition) annotation(
Line(points = {{-309.2, 10}, {-279.2, 10}}, thickness = 0.5));
connect(PSRi.outTransition[1], TUSi.inPlaces[1]) annotation(
Line(points = {{-231.2, 82}, {-207.2, 82}}, thickness = 0.5));
connect(PSDi.outTransition[1], TUSi.inPlaces[2]) annotation(
Line(points = {{-259.2, 10}, {-213.2, 10}, {-213.2, 82}, {-207.2, 82}}, thickness = 0.5));
connect(PSDi.outTransition[2], TUNi.inPlaces[1]) annotation(
Line(points = {{-259.2, 10}, {-183.2, 10}}, thickness = 0.5));
connect(PSCi.outTransition[1], TCCi.inPlaces[1]) annotation(
Line(points = {{-250.8, 116}, {-267, 116}, {-267, 144}, {-283, 144}}, thickness = 0.5));
connect(TCCi.outPlaces[1], PSCii.inTransition[1]) annotation(
Line(points = {{-293, 144}, {-308.8, 144}, {-308.8, 100}, {-306.6, 100}}, thickness = 0.5));
connect(PSCii.outTransition[1], TCRi.inPlaces[1]) annotation(
Line(points = {{-306, 79.2}, {-282, 79.2}, {-282, 53.2}}, thickness = 0.5));
connect(TCRi.outPlaces[1], PSRi.inTransition[1]) annotation(
Line(points = {{-273.2, 54}, {-251.2, 54}, {-251.2, 82}}, thickness = 0.5));
connect(TCM.outPlaces[1], PCM.inTransition[1]) annotation(
Line(points = {{221, 142}, {261, 142}, {261, 178}, {371, 178}}, thickness = 0.5));
connect(PCM.outTransition[1], TMPR.inPlaces[1]) annotation(
Line(points = {{393, 178}, {407, 178}, {407, 80.5}, {379, 80.5}, {379, 74}}, thickness = 0.5));
connect(TMPR.outPlaces[1], PCU_1.inTransition[1]) annotation(
Line(points = {{389, 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 = {{263, -130}, {337, -130}, {337, -94}}, thickness = 0.5));
connect(TCPc.outPlaces[1], PCU_2.inTransition[1]) annotation(
Line(points = {{171, -92}, {241, -92}, {241, -130}}, thickness = 0.5));
connect(PCU_1.outTransition[1], TUSp.inPlaces[1]) annotation(
Line(points = {{381, -8}, {127, -8}, {127, -7}}, thickness = 0.5));
connect(TUDp.outPlaces[1], P1.inTransition[1]) annotation(
Line(points = {{331, 72}, {326, 72}, {326, 74}, {289, 74}}, thickness = 0.5));
connect(P1.outTransition[1], TUNp.inPlaces[1]) annotation(
Line(points = {{267, 74}, {149, 74}, {149, 82}}, thickness = 0.5));
connect(P1.outTransition[2], TUSp.inPlaces[2]) annotation(
Line(points = {{267, 74}, {242, 74}, {242, 22}, {127, 22}, {127, -7}}, thickness = 0.5));
connect(PCU.outTransition[1], TCCi.inPlaces[2]) annotation(
Line(points = {{2, 46}, {-141, 46}, {-141, 142}, {-172, 142}, {-172, 145}, {-284, 145}, {-284, 144}}, thickness = 0.5));
connect(PCU.outTransition[2], TCM.inPlaces[1]) annotation(
Line(points = {{2, 46}, {107, 46}, {107, 140}, {12, 140}, {12, 93}, {212, 93}, {212, 142}}, thickness = 0.5));
connect(PCU.outTransition[3], TCPc.inPlaces[1]) annotation(
Line(points = {{2, 46}, {162, 46}, {162, -92}}, thickness = 0.5));
connect(TUSi.outPlaces[1], PCU.inTransition[1]) annotation(
Line(points = {{-196, 82}, {2, 82}, {2, 0}}, thickness = 0.5));
connect(TUSi.outPlaces[2], PSCi.inTransition[1]) annotation(
Line(points = {{-196, 82}, {-157, 82}, {-157, 116}, {-230, 116}}, thickness = 0.5));
connect(TUSp.outPlaces[1], PCU.inTransition[2]) annotation(
Line(points = {{106, -6}, {2, -6}, {2, 0}}, thickness = 0.5));
annotation(
uses(PNlib(version = "3.0.0")),
Diagram(graphics = {Text(origin = {-337, -14}, extent = {{3, 0}, {-3, 0}}, textString = "text"), Text(origin = {-304, 192}, extent = {{42, -20}, {-42, 0}}, textString = "Station subnet"), Rectangle(origin = {-245, 103}, lineColor = {0, 0, 255}, lineThickness = 0.5, extent = {{-103, 71}, {103, -71}}), Rectangle(origin = {-257, 5}, lineColor = {0, 255, 0}, lineThickness = 0.5, extent = {{-91, 23}, {91, -23}}), Text(origin = {-304, -20}, extent = {{42, -20}, {-42, 0}}, textString = "User demand subnet"), Rectangle(origin = {224, 30}, lineColor = {0, 170, 255}, lineThickness = 0.5, extent = {{-132, 72}, {132, -72}}), Text(origin = {121, 136}, extent = {{57, -48}, {-57, 0}}, textString = "User Demand (park) subnet"), 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, 201}, extent = {{-81, 25}, {81, -25}}, textString = "Car Maintenance (Center) subnet"), Rectangle(origin = {293, -77}, lineColor = {85, 85, 0}, lineThickness = 0.5, extent = {{-145, 87}, {145, -87}}), Text(origin = {227, -176}, extent = {{-73, 20}, {73, -20}}, textString = "Car-Sharing Park (Center) subnet"), Text(extent = {{-16, 40}, {-16, 40}}, textString = "text"), Text(origin = {-38, 62}, extent = {{-26, 16}, {26, -16}}, textString = "Cars in use"), Text(origin = {-339, 67}, extent = {{-37, 35}, {37, -35}}, textString = "Charging of cars"), Text(origin = {-204, 63}, extent = {{-32, 7}, {32, -7}}, textString = "Cars are ready")}, coordinateSystem(extent = {{-380, 240}, {500, -200}})),
version = "");
end CarSharingSystemSimplified;
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# PN4ECSS
Petri Net for Electric Car-Sharing System (ECSS).
## Background
Implementation of the ECSS Petri Net model described in [this paper](https://www.e3s-conferences.org/articles/e3sconf/abs/2020/30/e3sconf_evf2020_03001/e3sconf_evf2020_03001.html) (shown as below) in Modelica.
![ECSS](./PN4ECSS.JPG)
## Environments
[OpenModelica v1.22.3](https://openmodelica.org/download/download-windows/)
[PNlib v3.0.0](https://github.com/AMIT-HSBI/PNlib)
## Model Description
The implementation implemented "The City" subnets, but only two of them (left part), for some simplicity.
The "Commercial and Industrial Center" subnets has been also implemented (right part).
With this model my computer runs already very slow 😑
There are two Modelica models
* `CarSharing.mo` is the model of a subnet of "The City" part.
* `CarSharingSystem.mo` is the model of the whole ECSS system.
![](./CarSharingSystem.png)
This model generates some stochastic user (demands), you can simulate:
* how many cars are in use,
* how many cars are charging thus not available,
* how many cars finished charging and are ready for being rent,
* how many users don't have a car available so they just leave,
* etc.
Here you will find a gif to visualize the simulation result.
![](./PN4ECSS.gif)
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