diff --git a/CarSharingSystemSimplified.mo b/CarSharingSystemSimplified.mo
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+++ b/CarSharingSystemSimplified.mo
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+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;