static void Main(string[] args)
{
#region Console header
DrawASCIIart();
#endregion
#region Read input file and create InputParameters object
FileInfo inputFile = new FileInfo(Environment.CurrentDirectory + @"\input.txt");
if (!inputFile.Exists)
{
Console.WriteLine("Could not find input file: \n{0}", inputFile.FullName);
Console.WriteLine("Aborting. Press ENTER to end the program.");
Console.ReadLine();
return;
}
InputParameters ip = new InputParameters(inputFile);
#endregion
#region Make a copy of the input file
// We found it helpful to make a copy of the input file every time we ran the
// simulation. We stamp the copy's filename with the date and time so that
// we know which results files correspond to which input file.
DateTime dt = DateTime.Now;
string inputFileCopyName =
String.Format(
"input {0:D2}-{1:D2}-{2:D4} {3:D2}h {4:D2}m {5:D2}s, seed {6:G}.txt",
dt.Month,
dt.Day,
dt.Year,
dt.Hour,
dt.Minute,
dt.Second,
GenRandNumbers.GetSeed()
);
FileInfo inputFileCopy = new FileInfo(Environment.CurrentDirectory + @"\" + inputFileCopyName);
inputFile.CopyTo(inputFileCopy.FullName, true);
File.SetCreationTime(inputFileCopy.FullName, dt);
File.SetLastWriteTime(inputFileCopy.FullName, dt);
#endregion
#region Create output files
Output.CreateOutputFiles(ip);
#endregion
#region Generate Sample of Firms and their Cost Systems
Firm[] sampleFirms = new Firm[ip.NUM_FIRMS];
for (int firmID = 1; firmID <= ip.NUM_FIRMS; ++firmID)
{
Console.WriteLine(
"Starting firm {0:D3} of {1}",
firmID + 1, sampleFirms.Length
);
Firm f = new Firm(ip, firmID);
sampleFirms[firmID - 1] = f;
for (int a_indx = 0; a_indx < ip.ACP.Count; ++a_indx)
{
int a = ip.ACP[a_indx];
for (int p_indx = 0; p_indx < ip.PACP.Count; ++p_indx)
{
int p = ip.PACP[p_indx];
for (int r_indx = 0; r_indx < ip.PDR.Count; ++r_indx)
{
int r = ip.PDR[r_indx];
// Create a cost system
CostSys costsys = new CostSys(ip, f, a, p, r);
f.costSystems.Add(costsys);
int costSysID = f.costSystems.Count;
Output.LogCostSys(costsys, firmID, costSysID);
// Generate a starting decision for the cost system.
RowVector startingDecision;
if (ip.STARTMIX == 0)
{
startingDecision = f.CalcOptimalDecision();
}
else
{
var ones = Enumerable.Repeat(1.0, ip.CO).ToList();
startingDecision = new RowVector(ones);
for (int i = 0; i < startingDecision.Dimension; ++i)
{
if (GenRandNumbers.GenUniformDbl() < ip.EXCLUDE)
{
startingDecision[i] = 0.0;
}
}
}
/* Examine error in cost from implementing this decision.
* Assume the firm implements the decision startingDecision. Upon
* doing so, it will observe total resource consumption. It will then
* allocate resources to cost pools, as per the B parameter of the cost
* system, choose drivers as per the D parameter of the cost system,
* and then allocate resources to cost objects and compute reported costs.
* The reported costs are returned as PC_R. The difference
* between these and the true benchmark costs (PC_B) is used to compute
* the mean percent error in costs.
*/
RowVector PC_R = costsys.CalcReportedCosts(ip, startingDecision);
RowVector PC_B = f.CalcTrueProductCosts();
double MPE = PC_B.Zip(PC_R, (pc_b, pc_r) => Math.Abs(pc_b - pc_r) / pc_b).Sum() / PC_B.Dimension;
Output.LogCostSysError(costsys, firmID, costSysID, startingDecision, PC_B, PC_R, MPE);
/* Assume the firm implements the decision startingDecision. Upon
* doing so, it will observe total resource consumption. It will then
* allocate resources to cost pools, as per the B parameter of the cost
* system, choose drivers as per the D parameter of the cost system,
* and then allocate resources to cost objects and compute reported costs.
* The reported costs are returned as PC_R. Upon observing the
* reported costs, the firm may wish to update its original decision. When
* it implements the updated decision, costs will change again. The outcome
* of this process will either be an equilibrium decision (fixed point), or
* a cycle of decisions.
*/
(CostSystemOutcomes stopCode, RowVector endingDecision) = costsys.EquilibriumCheck(ip, startingDecision);
Output.LogCostSysLoop(costsys, firmID, costSysID, startingDecision, endingDecision, stopCode);
}
}
}
}
#endregion
Console.WriteLine("Writing output files...");
Output.WriteOutput();
Console.WriteLine("Done!");
}
/// <summary>
/// Creates a cost system. Assigns resources to pools and selects
/// drivers for each pool.
/// </summary>
/// <param name="ip">An input parameters object.</param>
/// <param name="firm">The firm upon which this cost system is based.</param>
/// <param name="a">The number of activity cost pools to form.</param>
/// <param name="p">A flag indicating method for assigning resources to cost pools.
/// See input file cheat sheet for details.</param>
/// <param name="r">A flag indicating which resources in the pools
/// will be used to form drivers. See input file cheat sheet for details.</param>
public CostSys(
InputParameters ip,
Firm firm,
int a,
int p,
int r)
{
this.firm = firm;
RowVector RCC = firm.Initial_RCC;
int[] RANK = firm.Initial_RANK;
SymmetricMatrix CORR = firm.PEARSONCORR;
this.a = a;
this.p = p;
this.r = r;
if (a != 1)
{
#region Code shared in flowchart 6.1, 6.2, and 6.3
// Segregate resources into big ones that will each
// seed a pool, and miscellaneous resources.
// The first (a-1) resources get their own pools.
List <int> bigResources = RANK.Take(a - 1).ToList();
List <int> miscResources = RANK.Skip(a - 1).ToList();
// Create the set B and initialize the first
// elements with the big pool resources.
// Seeding big resources
// Take each resource from bigPools, ane make it into a list
// of length 1. Convert to an array of lists, and assign to B.
B = bigResources.Select(elem => new List <int> {
elem
}).ToArray();
// Increase the length by 1, to make room for the miscellaneous
// pool.
Array.Resize(ref B, B.Length + 1);
B[B.Length - 1] = new List <int>();
#endregion
// p == 0:
// Seed (a-1) pools with the largest (a-1) resources.
// All remaining resources assigned to miscellaneous pool
if (p == 0)
{
#region Flowchart 6.1
B[a - 1] = new List <int>(miscResources);
#endregion
}
// p == 1:
// Seed acp-1 pools based on size. Check to see
// the highest correlation for the remaining resources. Assign the
// unassigned resource with the highest correlation to
// the relevant ACP. Check to see if the value of remaining
// ACP > MISCPOOLSIZE. If so, continue to find the next highest
// correlation, assign and check. When remaining value < 20%,
// then pool everything into misc.
else if (p == 1)
{
#region Flowchart 6.2
// This query iterates over miscResources. For each one, it
// computes the correlation with every bigResource, and forms
// a record {smallResourceIndex, index of big pool (in B), correlation }.
// Order this list of records in descending order and keep the first one.
// This first one is the pool to which the small resources will be allocated
// if the correlation is sufficiently high.
var query =
miscResources.Select(smallRes => bigResources.Select((bigRes, i) => new { smallRes, BigPoolNum = i, correl = CORR[bigRes, smallRes] }).OrderByDescending(x => x.correl).First());
// Order the small resources by correlation with big resources. Thus,
// if resource 7 is most correlated with big pool resource 0 (92%),
// and resource 12 is most correlated with big pool resource 1 (83%),
// 7 will be ahead of 12 in myArray.
var myArray = query.OrderByDescending(x => x.correl).ToArray();
// The following block makes sure that at least one nonzero
// resource is allocated to the last pool. The only time this
// fails is if all miscellaneous resources are zero.
int lastResourceToAllocate;
{
// Convert each record in myArray to the value of the resource
// cost pool represented by that resource
var moo = myArray.Select(x => RCC[x.smallRes]);
// Convert each element of moo to the value of the remaining
// resources in the array at this point.
var moo2 = moo.Select((_, i) => moo.Skip(i).Sum());
List <double> ld = moo2.ToList();
// If the list contains a 0, that means there are one or
// more zero resources. Find the index of the first one,
// or if there isn't one, use the end of the array.
if (ld.Contains(0.0))
{
lastResourceToAllocate = ld.IndexOf(0.0) - 1;
}
else
{
lastResourceToAllocate = myArray.Length;
}
}
double TR = RCC.Sum();
double notYetAllocated = miscResources.Aggregate(0.0, (acc, indx) => acc + RCC[indx]);
bool cutoffReached = (notYetAllocated / TR) < ip.MISCPOOLSIZE;
for (int k = 0; (k < lastResourceToAllocate) && !cutoffReached; ++k)
{
var q = myArray[k];
if (q.correl >= ip.CC)
{
B[q.BigPoolNum].Add(q.smallRes);
miscResources.Remove(q.smallRes);
}
else
{
break;
}
notYetAllocated = miscResources.Aggregate(0.0, (acc, indx) => acc + RCC[indx]);
cutoffReached = (notYetAllocated / TR) < ip.MISCPOOLSIZE;
}
// Check if there is anything left in miscResources
// If yes, throw it in the miscellaneous pool (B.Last()).
if (miscResources.Count > 0)
{
B.Last().AddRange(miscResources);
}
// If not, remove the last allocated resource (myArray.Last())
// from the pool to which it was allocated, and place it in the
// miscellaneous pool.
else
{
var q = myArray.Last();
B[q.BigPoolNum].Remove(q.smallRes);
B.Last().Add(q.smallRes);
}
#endregion
}
// p == 2:
// Seed each of the (a-1) cost pools with the largest resources.
// Allocate the remaining resources to the (a-1) pools at random.
// However, ensure that enough resources are in the last pool.
// The fraction of resources in the last pool is MISCPOOLSIZE.
else if (p == 2)
{
#region Flowchart 6.3
double TR = RCC.Sum();
// Magnitude of resources not yet allocated
double notYetAllocated = miscResources.Aggregate(0.0, (acc, indx) => acc + RCC[indx]);
// Fraction of resources not yet allocated
double miscPoolPrct = notYetAllocated / TR;
// Logic: Check if the fraction of resources in
// miscResources is greater than the cap (ip.MISCPOOLSIZE).
// If yes, take the first resource from miscResources
// and put it in one of the big pools, chosen at random.
// If the fraction of resources in miscResources is still
// greater than the cap, repeat the loop. Otherwise,
// stop and put the remaining resources in the last pool.
//
// Also stop under the following condition. Assume the head
// of the miscResources list is allocated. Is the value of the
// remaining resources in miscResources (the tail) greater than
// zero? If not, stop. There has to be at least one non-zero
// resource in the last pool.
while (
(miscPoolPrct > ip.MISCPOOLSIZE) &&
(miscResources.Skip(1).Aggregate(0.0, (acc, indx) => acc + RCC[indx]) > 0.0)
)
{
// Pick a pool at random to get the next resource
int poolIndx = (int)GenRandNumbers.GenUniformInt(0, a - 2);
B[poolIndx].Add(miscResources.First());
miscResources.RemoveAt(0);
notYetAllocated = miscResources.Aggregate(0.0, (acc, indx) => acc + RCC[indx]);
miscPoolPrct = notYetAllocated / TR;
}
B.Last().AddRange(miscResources);
#endregion
}
// p == 3:
// Seed the first pool with the largest resource.
// Iterate over the other pools. For each pool, select a seed resource:
// This is the largest of the remaining, unassigned resources, and
// assign it to the pool.
// Form a correlation vector (a list), which is the correlation
// of each resource in remainingResources with the seed resource.
// If the highest correlation is greater than ip.CC, there are
// enough remaining resources to fill the remaining pools, and
// satisfy the constraint about the miscellaneous pool size,
//assign resource with the highest correlation to the current pool.
// Once there are just as many resources remaining as there are pools,
// assign one resource to each remaining pool.
else if (p == 3)
{
#region Flowchart 6.4
// Initialize B
for (int i = 0; i < B.Length; ++i)
{
B[i] = new List <int>();
}
// Seed the first pool with the largest resource
B[0].Add(RANK[0]);
List <int> remainingResources = RANK.Skip(1).ToList();
// Assign all zero resources to the last (miscellaneous) pool.
// That way, each of the remaining pools is guaranteed to have
// a nonzero resource.
// This only works if there are at least as many nonzero resources
// as there are pools. If not, then skip this step so that each
// pool has at least one resource.
int numZeroResources = remainingResources.Count(res => RCC[res] == 0.0);
if (RCC.Dimension - numZeroResources >= B.Length)
{
while (RCC[remainingResources.Last()] == 0.0)
{
B.Last().Add(remainingResources.Last());
remainingResources.RemoveAt(remainingResources.Count - 1);
}
}
// Iterate over the pools. For each pool, select a seed resource,
// which is the first resource assigned to the pool.
// Form a correlation vector (a list), which is the correlation
// of each resource in remainingResources with the seed resource.
// While max of the list is greater than ip.CC, and while
// the other conditions are satisfied, assign resource with the
// maximum correlation to the current pool.
// Once condition 2 is no longer true, there are just as many
// resources remaining as there are pools. The loop then assigns
// one resource to each remaining pool.
// Once condition 3 is no longer true, it assigns one resource
// to each pool, and all the remaining resources to the last pool.
for (int currentPool = 0; currentPool < B.Length - 1; ++currentPool)
{
int seedResource = B[currentPool].First();
int poolsToBeFilled = B.Length - (currentPool + 1);
List <double> correlations = remainingResources.Select(res => CORR[res, seedResource]).ToList();
bool cond1 = correlations.Max() > ip.CC;
bool cond2 = remainingResources.Count > poolsToBeFilled;
// Magnitude of resources not yet allocated
double notYetAllocated = remainingResources.Aggregate(0.0, (acc, indx) => acc + RCC[indx]);
// Fraction of resources not yet allocated
double TR = RCC.Sum();
double miscPoolPrct = notYetAllocated / TR;
bool cond3 = miscPoolPrct > ip.MISCPOOLSIZE;
while (cond1 && cond2 && cond3)
{
// Find the index of the resource with the maximum correlation
// with the seed resource
double maxCorr = correlations.Max();
int maxCorrIndx = remainingResources[correlations.IndexOf(maxCorr)];
// Add it to the current pool
B[currentPool].Add(maxCorrIndx);
// Remove it from the remainingResources list
remainingResources.RemoveAt(correlations.IndexOf(maxCorr));
correlations.Remove(maxCorr);
// Recompute loop termination conditions
cond1 = correlations.Max() > ip.CC;
cond2 = remainingResources.Count > poolsToBeFilled;
notYetAllocated = remainingResources.Aggregate(0.0, (acc, indx) => acc + RCC[indx]);
miscPoolPrct = notYetAllocated / TR;
cond3 = miscPoolPrct > ip.MISCPOOLSIZE;
}
B[currentPool + 1].Add(remainingResources[0]);
remainingResources.RemoveAt(0);
}
B.Last().AddRange(remainingResources);
#endregion
}
else
{
throw new ApplicationException("Invalid value of p.");
}
}
else
{
#region Flowchart 6.5
B = new List <int>[] { new List <int>(RANK) };
#endregion
}
// The fraction of RCC that is in the miscellaneous (last)
// activity cost pool.
double miscPoolSize = B.Last().Aggregate(0.0, (acc, i) => acc + RCC[i]) / RCC.Sum();
#region Flowchart 6.5 -- Choosing drivers
// For each element of B, which is a list of resource indexes,
// sort it in descending order by pool size (RCC[element]).
// Technically, this is unnecessary, since elements should have
// been added to the lists in B in descending order. But instead
// of assuming that, since that could change in the future,
// I am going to re-sort. Heck, it's only one line of code,
// plus this essay of a comment that I just wrote.
{
var query = B.Select(list => list.OrderByDescending(indx => RCC[indx]));
int numToTake;
if (r == 0)
{
numToTake = 1;
}
else if (r == 1)
{
numToTake = ip.NUM;
}
else
{
throw new ApplicationException("Invalid value of r in FalseSys.cs.");
}
// This iterates over every list in query, and replaces that list
// with a list containing only the first numToTake elements.
var drivers = query.Select(list => list.Take(numToTake).ToList());
D = drivers.ToArray();
}
#endregion
}
/// <summary>
/// Writes summary information about a firm. Writes RCC and RCU vectors for
/// the firm in the RESCON file. Writes info about the firm's
/// products (margins, capacities, selling prices).
/// </summary>
/// <param name="ip">An InputParameters object.</param>
/// <param name="firm">The firm object whose data will be logged.</param>
/// <param name="firmID">A unique identifier for this firm</param>
/// <param name="MAR">Vector of product margins. Products with
/// margins >= 1 are produced.</param>
/// <param name="DECT0">Vector of 0 and 1's indicating which products
/// are produced.</param>
/// <param name="revenue">Revenue realized when producing the benchmark product mix</param>
/// <param name="totalCost">Total cost incurred when producing the benchmark product mix</param>
/// <param name="benchProfit">Profit realized when producing the benchmark product mix</param>
/// <param name="RCC">Vector of resource costs</param>
public static void LogFirm(
InputParameters ip, Firm firm,
int firmID,
RowVector MAR, RowVector DECT0,
double revenue, double totalCost, double benchProfit,
RowVector RCC)
{
#region Log summary information for the firm
int numProdInMix = DECT0.Count(x => x == 1.0);
sb_Firm_SUM.AppendFormat(
"{0},{1},{2},{3},{4},{5:F2},{6:F2},{7:F2},{8},{9}",
firmID, firm.G, firm.D,
ip.RCP, ip.CO,
revenue, totalCost, benchProfit,
numProdInMix,
Environment.NewLine
);
#endregion
#region Log resource consumption information for the firm
sb_Firm_RESCON.AppendFormat(
"{0},{1},{2},{3},{4},{5}",
firmID, firm.G, firm.D,
RCC.ToCSVString(false),
firm.RCU.ToCSVString(false),
Environment.NewLine
);
#endregion
#region Log product information for the firm
#region Create rank vectors
// Rank the products by value (by total profit)
RowVector RANK_BY_VAL;
{
// Some algebra: the profit of a product is
// (SP - PC_B) x QT
// = (SP - SP/MAR) x (MXQ x DECT0)
// = SP (1 - 1/MAR) x (MXQ x DECT0)
// where all operations are element-wise
var unitProfit = firm.SP.Zip(MAR, (sp, mar) => sp * (1.0 - (1.0 / mar)));
var productionQty = firm.MXQ.Zip(DECT0, (mxq, dect0) => mxq * dect0);
var totProfit = unitProfit.Zip(productionQty, (pi, q) => pi * q);
double[] PROFIT = totProfit.ToArray();
var rank = Enumerable.Range(0, ip.CO).Select(x => (double)x);
// If the product is not produced, set its rank value
// to ip.CO
var rank2 = rank.Zip(DECT0, (r, dect0) => (dect0 == 1.0) ? r : (double)ip.CO);
double[] rank_by_val = rank2.ToArray();
Array.Sort(PROFIT, rank_by_val);
Array.Reverse(rank_by_val);
RANK_BY_VAL = new RowVector(rank_by_val);
}
// Rank the products by margin
RowVector RANK_BY_MAR;
{
double[] rank_by_mar =
Enumerable.Range(0, ip.CO).Select(x => (double)x).ToArray();
double[] mar = MAR.ToArray();
Array.Sort(mar, rank_by_mar);
Array.Reverse(rank_by_mar);
RANK_BY_MAR = new RowVector(rank_by_mar);
}
#endregion
sb_Firm_PRODUCT.AppendFormat(
"{0},{1},{2},{3},{4},{5},{6},{7},{8},{9}",
firmID, firm.G, firm.D,
MAR.ToCSVString(false),
firm.MXQ.ToCSVString(true),
firm.SP.ToCSVString(false),
DECT0.ToCSVString(true),
RANK_BY_VAL.ToCSVString(true),
RANK_BY_MAR.ToCSVString(true),
Environment.NewLine
);
#endregion
}
