3134.sagews

sAA = 0
sAB = 1
sAC = 2
sAD = 3
sAE = 4
sAF = 5
sBA = 6
sCA = 12
sDA = 18
sEA = 24
sFA = 28

a = 4
b = 60
c = 60
d = 60
e = 10
f = 60

var('PAA,PAB,PAC,PAD,PAE,PAF,PBA,PBB,PBC,PBD,PBE,PBF,PCA,PCB,PCC,PCD,PCE,PCF,PDA,PDB,PDC,PDD,PDE,PDF,PEA,PEB,PEC,PED,PFA,PFB,PFC,PFD')

eAA = f * PAF + f * PFA                     == 2 * a * PAA
eAB = a * PAA + d * PAD + f * PFB           == a * PAB + b * PAB
eAC = b * PAB + f * PFC                     == a * PAC + c * PAC
eAD = f * PFD                               == a * PAD + d * PAD
eAE = c * PAC                               == a * PAE + e * PAE
eAF = e * PAE                               == a * PAF + f * PAF

eBA = a * PAA + d * PDA + f * PBF           == a * PBA + b * PBA
eBB = a * PAB + a * PBA + d * PDB + d * PBD == 2 * b * PBB
eBC = a * PAC + b * PBB + d * PDC           == b * PBC + c * PBC
eBD = a * PAD + d * PDD                     == b * PBD + d * PBD
eBE = a * PAE + c * PBC + d * PDE           == b * PBE + e * PBE
eBF = a * PAF + d * PDF + e * PBE           == b * PBF + f * PBF

eCA = b * PBA + f * PCF                     == a * PCA + c * PCA
eCB = a * PCA + b * PBB + d * PCD           == b * PCB + c * PCB
eCC = b * PBC + b * PCB                     == 2 * c * PCC
eCD = b * PBD + c * PCC                     == c * PCD + d * PCD
eCE = b * PBE                               == c * PCE + e * PCE
eCF = b * PBF + e * PCE                     == c * PCF + f * PCF

eDA = f * PDF                               == a * PDA + d * PDA
eDB = a * PDA + d * PDD                     == b * PDB + d * PDB
eDC = b * PDB + c * PCC                     == c * PDC + d * PDC
eDD = c * PCD + c * PDC                     == 2 * d * PDD
eDE = c * PCE                               == d * PDE + e * PDE
eDF = c * PCF + e * PDE                     == d * PDF + f * PDF

eEA = c * PCA                               == a * PEA + e * PEA
eEB = a * PEA + c * PCB + d * PED           == b * PEB + e * PEB
eEC = b * PEB                               == c * PEC + e * PEC
eED = c * PEC                               == d * PED + e * PED

eFA = e * PEA                               == a * PFA + f * PFA
eFB = a * PFA + d * PFD + e * PEB           == b * PFB + f * PFB
eFC = b * PFB + e * PEC                     == c * PFC + f * PFC
eFD = c * PFC + e * PED                     == d * PFD + f * PFD

eSUM = PAA + PAB + PAC + PAD + PAE + PAF + PBA + PBB + PBC + PBD + PBE + PBF + PCA + PCB + PCC + PCD + PCE + PCF + PDA + PDB + PDC + PDD + PDE + PDF + PEA + PEB + PEC + PED + PFA + PFB + PFC + PFD == 1

solucion = solve([eAA,eAB,eAC,eAD,eAE,eAF,eBA,eBB,eBC,eBD,eBE,eBF,eCA,eCB,eCC,eCD,eCE,eCF,eDA,eDB,eDC,eDD,eDE,eDF,eEA,eEB,eEC,eED,eFA,eFB,eFC,eFD,eSUM],PAA,PAB,PAC,PAD,PAE,PAF,PBA,PBB,PBC,PBD,PBE,PBF,PCA,PCB,PCC,PCD,PCE,PCF,PDA,PDB,PDC,PDD,PDE,PDF,PEA,PEB,PEC,PED,PFA,PFB,PFC,PFD)

sol = solucion[0]

Ubill = sol[sAA] + sol[sAB] + sol[sAC] + sol[sAD] + sol[sAE] + sol[sAF]
Ujill = sol[sAA] + sol[sBA] + sol[sCA] + sol[sDA] + sol[sEA] + sol[sFA]
print "Utilización de Bill, Ub = ",Ubill + 0.0
print "Utilización de Jill, Uj = ",Ujill + 0.0
U = Ubill + Ujill
print  "Utilización total: U = Ub + Uj", U + 0.
D = 1 / a
X = U / D
print "Troughput:", X + 0.

Utilización de Bill, Ub = PAA + PAB + PAC + PAD + PAE + PAF == 0.550905197892524 Utilización de Jill, Uj = PAA + PBA + PCA + PDA + PEA + PFA == 0.550905197892524 Utilización total: U = Ub + Uj 2*PAA + PAB + PAC + PAD + PAE + PAF + PBA + PCA + PDA + PEA + PFA == 1.10181039578505 Troughput: 8*PAA + 4*PAB + 4*PAC + 4*PAD + 4*PAE + 4*PAF + 4*PBA + 4*PCA + 4*PDA + 4*PEA + 4*PFA == 4.40724158314019