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cbm-sys.R
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cbm-sys.R
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# --------------------------------------------------------------------------- #
# CBM systems paper - code for example figs
# --------------------------------------------------------------------------- #
source("weibull-sys-functions.R")
source("plotdefs.R")
# full system for prior
br <- graph.formula(s -- M -- C1:C2:C3:C4, P1:P2:P3:P4 -- t,
C1 -- P1, C2 -- P2, C3 -- P3, C4 -- P4, s -- H -- P3:P4)
brctypes <- list("C"=c("C1", "C2", "C3", "C4"), "H"=c("H"), "M"=c("M"), "P"=c("P1", "P2", "P3", "P4"))
br <- setCompTypes(br, brctypes)
brsysign <- computeSystemSurvivalSignature(br)
# tests # order is C H M P
brbeta <- c(2, 1.2, 2.5, 1.5)
brmttf <- c(8, 2, 5, 3)
brn0 <- c(1, 1, 2, 1)
brn0y0 <- list(C=c(brn0[1], failuretolambda(brmttf[1], brbeta[1])),
H=c(brn0[2], failuretolambda(brmttf[2], brbeta[2])),
M=c(brn0[3], failuretolambda(brmttf[3], brbeta[3])),
P=c(brn0[4], failuretolambda(brmttf[4], brbeta[4])))
# system (prior) predictive at tnow = 0
brfts0 <- list(C=NULL, H=NULL, M=NULL, P=NULL)
sysrelnow(brsysign, brn0y0, brbeta, brfts0, tnow=0, t=1)
sysrelnowvec(brsysign, brn0y0, brbeta, brfts0, tnow=0, tvec=1:20)
sysrelnowhor(brsysign, brn0y0, brbeta, brfts0, tnow=0, hor=10, seqlen=5)
brtnow0 <- sysrelnowhor(brsysign, brn0y0, brbeta, brfts0, tnow=0, hor=10)
qplot(brtnow0$t, brtnow0$rel)
# posterior, assuming C2, C3, P2, P3 have failed
brfts8 <- list(c(6, 7), NULL, NULL, c(3, 4))
br8 <- induced_subgraph(br, vids=c("s", "M", "C1", "P1", "C4", "P4", "H", "t"))
br8sysign <- computeSystemSurvivalSignature(br8)
sysrelnow(br8sysign, brn0y0, brbeta, brfts8, tnow=8, t=8)
sysrelnowvec(br8sysign, brn0y0, brbeta, brfts8, tnow=8, tvec=8:20)
sysrelnowhor(br8sysign, brn0y0, brbeta, brfts8, tnow=8, hor=10, seqlen=5)
brtnow8 <- sysrelnowhor(br8sysign, brn0y0, brbeta, brfts8, tnow=8, hor=10)
qplot(brtnow8$t, brtnow8$rel)
# posterior, assuming C2, C3, P2, P3 and H have failed -> take out elements corresponding to H
brfts8H <- list(c(6, 7), 8, NULL, c(3, 4))
br8H <- induced_subgraph(br, vids=c("s", "M", "C1", "P1", "C4", "P4", "t"))
br8Hsysign <- computeSystemSurvivalSignature(br8H)
sysrelnow(br8Hsysign, brn0y0[-2], brbeta[-2], brfts8H[-2], tnow=8, t=8)
sysrelnowvec(br8Hsysign, brn0y0[-2], brbeta[-2], brfts8H[-2], tnow=8, tvec=8:20)
sysrelnowhor(br8Hsysign, brn0y0[-2], brbeta[-2], brfts8H[-2], tnow=8, hor=10, seqlen=5)
brtnow8H <- sysrelnowhor(br8Hsysign, brn0y0[-2], brbeta[-2], brfts8[-2], tnow=8, hor=10)
qplot(brtnow8H$t, brtnow8H$rel)
# component prior predictive reliability functions to visualize prior assumptions
comphor <- 10; complen <- 201
onecomp <- graph.formula(s -- 1 -- t)
Ccomp <- setCompTypes(onecomp, list(C = "1"))
Hcomp <- setCompTypes(onecomp, list(H = "1"))
Mcomp <- setCompTypes(onecomp, list(M = "1"))
Pcomp <- setCompTypes(onecomp, list(P = "1"))
Crel <- sysrelnowhor(computeSystemSurvivalSignature(Ccomp), brn0y0[1], brbeta[1], brfts0[1],
tnow = 0, hor = comphor, seqlen = complen)
Hrel <- sysrelnowhor(computeSystemSurvivalSignature(Hcomp), brn0y0[2], brbeta[2], brfts0[2],
tnow = 0, hor = comphor, seqlen = complen)
Mrel <- sysrelnowhor(computeSystemSurvivalSignature(Mcomp), brn0y0[3], brbeta[3], brfts0[3],
tnow = 0, hor = comphor, seqlen = complen)
Prel <- sysrelnowhor(computeSystemSurvivalSignature(Pcomp), brn0y0[4], brbeta[4], brfts0[4],
tnow = 0, hor = comphor, seqlen = complen)
compdf <- rbind(data.frame(Crel, comp = "C"), data.frame(Hrel, comp = "H"),
data.frame(Mrel, comp = "M"), data.frame(Prel, comp = "P"))
# in different facets
comppriorfig1 <- ggplot(compdf, aes(x = t, y = rel)) + geom_line(aes(group = comp)) +
ylab("Reliability") + scale_x_continuous(breaks=seq(0, 10, by=2), minor_breaks=0:10) +
facet_wrap(~ comp, nrow = 2, scales = "free_y") + coord_cartesian(ylim = c(0, 1))
pdf("comppriorfig1.pdf", width = 6, height = 4)
comppriorfig1
dev.off()
# as different linetypes
comppriorfig2 <- ggplot(compdf, aes(x = t, y = rel)) + geom_line(aes(linetype = comp)) +
ylab("Reliability") + scale_x_continuous(breaks=seq(0, 10, by=2), minor_breaks=0:10) +
guides(linetype = guide_legend(title=NULL)) + coord_cartesian(ylim = c(0, 1))
pdf("comppriorfig2.pdf", width = 6, height = 4)
comppriorfig2
dev.off()
# -------------------------------------------------------------------------------------------------
# to plot sysrelnow history
#brcompfts <- list(C1 = NA, C2 = 6, C3 = 7, C4 = NA, H = NA, M = NA, P1 = NA, P2 = 3, P3 = 4, P4 = NA)
brcompfts <- list(C1 = NA, C2 = 6, C3 = 7, C4 = NA, H = 8, M = NA, P1 = NA, P2 = 3, P3 = 4, P4 = NA)
# failure history plot
# turn compfts into a data.frame
brfstdf <- compfts2df(brcompfts)
# plot directly
plotfts(brcompfts)
#plotfts(brcompfts,10)
#plotfts(brcompfts,6)
brhist1 <- sysrelnowhist(br, brctypes, brcompfts, brn0y0, brbeta, c(0,8), hor=10)
#brhist1 <- sysrelnowhist(br, brctypes, brcompfts, brn0y0, brbeta, c(0:8), hor=10)
brhist1$tnow <- as.factor(brhist1$tnow)
histfig1 <- ggplot(brhist1, aes(x = t, y = rel)) + ylim(0, 1) +
geom_line(aes(group = tnow, colour = tnow)) + xlab(expression(t)) + ylab(expression(R(t)))
histfig1
# sysrelnowhist does the right thing
#plot(brhist1$t, brhist1$rel, type="l")
#lines(brtnow0$t, brtnow0$rel, col=2)
#lines(brtnow8$t, brtnow8$rel, col=2)
# what is the difference when parameters do not get updated?
brhist1prio <- sysrelnowhist(br, brctypes, brcompfts, brn0y0, brbeta, c(0,8), hor=10, prior = TRUE)
#brhist1prio <- sysrelnowhist(br, brctypes, brcompfts, brn0y0, brbeta, c(0:8), hor=10, prior = TRUE)
#brhist1prio$tnow <- as.factor(brhist1prio$tnow)
histfig2 <- ggplot(rbind(data.frame(updated = "yes", brhist1),
data.frame(updated = "no", brhist1prio)), aes(x = t, y = rel)) + ylim(0, 1) +
geom_line(aes(colour = tnow, linetype = updated)) + xlab(expression(t)) + ylab(expression(R(t)))
histfig2
# unit cost rate gnow
brgnow0 <- gnowhor(brsysign, brn0y0, brbeta, brfts0, tnow=0, hor=10, seqlen=201)
qplot(brgnow0$tau, brgnow0$gnow, geom="line") + coord_cartesian(ylim=c(0,1))
brgnow8 <- gnowhor(br8sysign, brn0y0, brbeta, brfts8, tnow=8, hor=10, seqlen=201)
qplot(brgnow8$tau, brgnow8$gnow, geom="line") + coord_cartesian(ylim=c(0,1))
# one component plot
oc <- graph.formula(s -- M -- t)
occtypes <- list("M"=c("M"))
oc <- setCompTypes(oc, occtypes)
ocsysign <- computeSystemSurvivalSignature(oc)
ocbeta <- 2.5
ocn0y0 <- list(M = c(1, failuretolambda(10, ocbeta)))
ocgnow0 <- gnowhor(ocsysign, ocn0y0, ocbeta, list(M = NULL), tnow=0, hor=20, seqlen=201)
ggplot(melt(ocgnow0, id="tau"), aes(x=tau, y=value)) + geom_line(aes(colour = variable)) + coord_cartesian(ylim=c(0,1))
ocgnow5 <- gnowhor(ocsysign, ocn0y0, ocbeta, list(M = NULL), tnow=5, hor=20, seqlen=201)
ggplot(melt(ocgnow5, id="tau"), aes(x=tau, y=value)) + geom_line(aes(colour = variable)) + coord_cartesian(ylim=c(0,1))
# gnow & sysrelnow histories
brghist1 <- gnowhist(br, brctypes, brcompfts, brn0y0, brbeta, c(0,2,4,6,8), hor = 10, seqlen = 1001)
#brghist2 <- gnowhist(br, brctypes, brcompfts, brn0y0, brbeta, c(0,8), hor=4, seqlen = 401)
brghist1$tnow <- as.factor(brghist1$tnow)
brghist1a <- brghist1
names(brghist1a)[c(3,4)] <- c("Reliability", "Unit cost rate")
brghist1a <- melt(brghist1a, c("tnow", "t"))
brghist1a <- subset(brghist1a, !is.na(value))
ghistfig1 <- ggplot(brghist1a, aes(x = t, y = value)) + coord_cartesian(ylim = c(0, 2.9)) +
geom_line(aes(colour = tnow, linetype = variable)) + xlab(expression(t)) +
#geom_line(aes(colour = tnow)) + xlab(expression(t)) + facet_wrap(~variable, nrow=2, scales = "free_y") +
ylab(expression(paste(g^(t[now]), (t), " and ", R[sys]^(t[now]), (t)))) +
#theme(legend.position = 'bottom', legend.direction = 'horizontal') +
guides(colour=guide_legend(title=expression(t[now])), linetype=guide_legend(title=NULL)) +
scale_x_continuous(breaks=seq(0, 18, by=2), minor_breaks=0:18)
pdf("ghistfig1.pdf", width = 6, height = 3)
ghistfig1
dev.off()
ghistfig2r <- ggplot(subset(brghist1a, variable == "Reliability"), aes(x = t, y = value)) +
geom_line(aes(colour = tnow)) + coord_cartesian(xlim = c(0, 18), ylim = c(0, 1)) +
xlab(expression(t)) + ylab(expression(paste(R[sys]^(t[now]), (t)))) + guides(colour = 'none') +
scale_x_continuous(breaks = seq(0, 18, by = 2), minor_breaks = 0:18) +
scale_y_continuous(breaks = seq(0, 1, by = 0.2), minor_breaks = seq(0, 1, by = 0.1)) +
theme(axis.title.x = element_blank(), axis.text.x = element_blank(), axis.ticks.x = element_blank())
ghistfig2g <- ggplot(subset(brghist1a, variable == "Unit cost rate"), aes(x = t, y = value)) +
geom_line(aes(colour = tnow)) + coord_cartesian(xlim = c(0, 18), ylim = c(0, 3)) +
xlab(expression(t)) + ylab(expression(paste(g[sys]^(t[now]), (t)))) +
guides(colour=guide_legend(title=expression(t[now]))) +
theme(legend.position = 'bottom', legend.direction = 'horizontal') +
scale_x_continuous(breaks = seq(0, 18, by = 2), minor_breaks = 0:18) +
scale_y_continuous(breaks = seq(0, 3, by = 0.5), minor_breaks = seq(0, 3, by = 0.25))
pdf("ghistfig2.pdf", width = 6, height = 4)
grid.arrange(ghistfig2r, ghistfig2g, nrow = 2, heights = c(1, 1.5))
dev.off()
#brtaus1 <- taustarhist(br, brctypes, brcompfts, brn0y0, brbeta, c(0,2,4,6,8), hor=10)
#brtaus1 <- taustarhist(br, brctypes, brcompfts, brn0y0, brbeta, c(0,8), hor=2, seqlen=201)
#brtaus1 <- taustarhist(br, brctypes, brcompfts, brn0y0, brbeta, seq(0, 8, by=0.25), hor=5, seqlen=501)
#ggplot(melt(brtaus1, "tnow"), aes(x = tnow, y = value)) + xlab(expression(t[now])) + ylab("") +
# geom_line(aes(colour = variable, group = variable)) + guides(colour = guide_legend(title=NULL)) +
# geom_point(aes(colour = variable, group = variable), size = 0.15) + facet_wrap(~ variable, nrow = 2, scales = "free_y")
brtaus1fine <- taustarhist(br, brctypes, brcompfts, brn0y0, brbeta, seq(0,8,by=0.1), hor=4, seqlen=401)
tauhistfig1 <- ggplot(melt(brtaus1fine, "tnow"), aes(x = tnow, y = value)) + xlab(expression(t[now])) +
geom_line(aes(colour = variable, group = variable)) + ylab(element_blank()) +
geom_point(aes(colour = variable, group = variable), size = 0.5) + guides(colour = guide_legend(title=NULL)) +
scale_x_continuous(breaks=seq(0, 8, by=2), minor_breaks=0:8)
pdf("tauhistfig1.pdf", width = 6, height = 3)
tauhistfig1
dev.off()
tauhistfig2 <- ggplot(melt(brtaus1fine, "tnow"), aes(x = tnow, y = value)) + xlab(expression(t[now])) +
geom_line(aes(colour = variable, group = variable)) + ylab("") + guides(colour = guide_legend(title=NULL)) +
geom_point(aes(colour = variable, group = variable), size = 0.15) +
# facet_grid(variable ~ ., scales = "free_y")
facet_wrap(~ variable, nrow = 2, scales = "free_y")
# scale_x_continuous(breaks=seq(0, 8, by=2), minor_breaks=0:8)
pdf("tauhistfig2.pdf", width = 6, height = 4)
tauhistfig2
dev.off()
# compare with prior (just dynamic, not adaptive, i.e. no updating of weibull parameters)
brtaus1finepr <- taustarhist(br, brctypes, brcompfts, brn0y0, brbeta, seq(0,8,by=0.1), hor=4, seqlen=401, prior=T)
brtaus1prpo <- rbind(data.frame(melt(brtaus1fine, "tnow"), variable2 = "update"),
data.frame(melt(brtaus1finepr, "tnow"), variable2 = "no update"))
tauhistfig3 <- ggplot(brtaus1prpo, aes(x = tnow, y = value)) + xlab(expression(t[now])) +
geom_line(aes(colour = variable2)) + ylab("") + guides(colour = guide_legend(title=NULL)) +
geom_point(aes(colour = variable2), size = 0.15) +
# facet_grid(variable ~ ., scales = "free_y")
facet_wrap(~ variable, nrow = 2, scales = "free_y")
pdf("tauhistfig3.pdf", width = 6, height = 4)
tauhistfig3
dev.off()
# -------------------------------------------------------------------------
# earlier failures
brcompfts2 <- list(C1 = NA, C2 = 1, C3 = 2, C4 = NA, H = 8, M = NA, P1 = NA, P2 = 0.5, P3 = 1.5, P4 = NA)
plotfts(brcompfts2, 8)
# gnow & sysrelnow histories
brghist2 <- gnowhist(br, brctypes, brcompfts2, brn0y0, brbeta, seq(0, 2, by = 0.5), hor = 10, seqlen = 1001)
brghist2$tnow <- as.factor(brghist2$tnow)
brghist2a <- brghist2
names(brghist2a)[c(3,4)] <- c("Reliability", "Unit cost rate")
brghist2a <- melt(brghist2a, c("tnow", "t"))
brghist2a <- subset(brghist2a, !is.na(value))
ghist2fig1 <- ggplot(brghist2a, aes(x = t, y = value)) + coord_cartesian(ylim = c(0, 1.25)) +
geom_line(aes(colour = tnow, linetype = variable)) + xlab(expression(t)) +
#geom_line(aes(colour = tnow)) + xlab(expression(t)) + facet_wrap(~variable, nrow=2, scales = "free_y") +
ylab(expression(paste(g^(t[now]), (t), " and ", R[sys]^(t[now]), (t)))) +
#theme(legend.position = 'bottom', legend.direction = 'horizontal') +
guides(colour=guide_legend(title=expression(t[now])), linetype=guide_legend(title=NULL)) +
scale_x_continuous(breaks=seq(0, 18, by=2), minor_breaks=0:18)
pdf("ghist2fig1.pdf", width = 6, height = 3)
ghist2fig1
dev.off()
brtaus2fine <- taustarhist(br, brctypes, brcompfts2, brn0y0, brbeta, seq(0, 2, by=0.05), hor=4, seqlen=401)
tauhist2fig2 <- ggplot(melt(brtaus2fine, "tnow"), aes(x = tnow, y = value)) + xlab(expression(t[now])) +
geom_line(aes(colour = variable, group = variable)) + ylab("") + guides(colour = guide_legend(title=NULL)) +
geom_point(aes(colour = variable, group = variable), size = 0.15) +
# facet_grid(variable ~ ., scales = "free_y")
facet_wrap(~ variable, nrow = 2, scales = "free_y")
# scale_x_continuous(breaks=seq(0, 8, by=2), minor_breaks=0:8)
pdf("tauhist2fig2.pdf", width = 6, height = 4)
tauhist2fig2
dev.off()
brtaus2finepr <- taustarhist(br, brctypes, brcompfts2, brn0y0, brbeta, seq(0, 2, by=0.05), hor=4, seqlen=401, prior=T)
brtaus2prpo <- rbind(data.frame(melt(brtaus2fine, "tnow"), variable2 = "update"),
data.frame(melt(brtaus2finepr, "tnow"), variable2 = "no update"))
tauhist2fig3 <- ggplot(brtaus2prpo, aes(x = tnow, y = value)) + xlab(expression(t[now])) +
geom_line(aes(colour = variable2)) + ylab("") + guides(colour = guide_legend(title=NULL)) +
geom_point(aes(colour = variable2), size = 0.15) +
# facet_grid(variable ~ ., scales = "free_y")
facet_wrap(~ variable, nrow = 2, scales = "free_y")
pdf("tauhist2fig3.pdf", width = 6, height = 4)
tauhist2fig3
dev.off()
# -------------------------------------------------------------------------
# later failures
brcompfts3 <- list(C1 = NA, C2 = 10, C3 = 12, C4 = NA, H = 14, M = NA, P1 = NA, P2 = 8, P3 = 9, P4 = NA)
plotfts(brcompfts3, 14)
# gnow & sysrelnow histories
brghist3 <- gnowhist(br, brctypes, brcompfts3, brn0y0, brbeta, seq(0, 14, by = 2), hor = 10, seqlen = 1001)
brghist3$tnow <- as.factor(brghist3$tnow)
brghist3a <- brghist3
names(brghist3a)[c(3,4)] <- c("Reliability", "Unit cost rate")
brghist3a <- melt(brghist3a, c("tnow", "t"))
brghist3a <- subset(brghist3a, !is.na(value))
ghist3fig1 <- ggplot(brghist3a, aes(x = t, y = value)) + coord_cartesian(ylim = c(0, 2.5)) +
geom_line(aes(colour = tnow, linetype = variable)) + xlab(expression(t)) +
#geom_line(aes(colour = tnow)) + xlab(expression(t)) + facet_wrap(~variable, nrow=2, scales = "free_y") +
ylab(expression(paste(g^(t[now]), (t), " and ", R[sys]^(t[now]), (t)))) +
#theme(legend.position = 'bottom', legend.direction = 'horizontal') +
guides(colour=guide_legend(title=expression(t[now])), linetype=guide_legend(title=NULL)) +
scale_x_continuous(breaks=seq(0, 24, by=2), minor_breaks=0:24)
pdf("ghist3fig1.pdf", width = 6, height = 3)
ghist3fig1
dev.off()
brtaus3fine <- taustarhist(br, brctypes, brcompfts3, brn0y0, brbeta, seq(0, 14, by=0.2), hor=4, seqlen=401)
tauhist3fig2 <- ggplot(melt(brtaus3fine, "tnow"), aes(x = tnow, y = value)) + xlab(expression(t[now])) +
geom_line(aes(colour = variable, group = variable)) + ylab("") + guides(colour = guide_legend(title=NULL)) +
geom_point(aes(colour = variable, group = variable), size = 0.15) +
# facet_grid(variable ~ ., scales = "free_y")
facet_wrap(~ variable, nrow = 2, scales = "free_y")
# scale_x_continuous(breaks=seq(0, 8, by=2), minor_breaks=0:8)
pdf("tauhist3fig2.pdf", width = 6, height = 4)
tauhist3fig2
dev.off()
brtaus3finepr <- taustarhist(br, brctypes, brcompfts3, brn0y0, brbeta, seq(0, 14, by=0.2), hor=4, seqlen=401, prior=T)
brtaus3prpo <- rbind(data.frame(melt(brtaus3fine, "tnow"), variable2 = "update"),
data.frame(melt(brtaus3finepr, "tnow"), variable2 = "no update"))
tauhist3fig3 <- ggplot(brtaus3prpo, aes(x = tnow, y = value)) + xlab(expression(t[now])) +
geom_line(aes(colour = variable2)) + ylab("") + guides(colour = guide_legend(title=NULL)) +
geom_point(aes(colour = variable2), size = 0.15) +
# facet_grid(variable ~ ., scales = "free_y")
facet_wrap(~ variable, nrow = 2, scales = "free_y")
pdf("tauhist3fig3.pdf", width = 6, height = 4)
tauhist3fig3
dev.off()
# -------------------------------------------------------------------------
# simulate one operational cycle
# new compfts with failure times for all components such that sim1cycle definitively terminates
brcompftssim <- list(C1 = 10, C2 = 6, C3 = 7, C4 = 10, H = 8, M = 12, P1 = 10, P2 = 3, P3 = 4, P4 = 10)
brsim1 <- sim1cycle(sys = br, ctypes = brctypes, compfts = brcompftssim, n0y0 = brn0y0, beta = brbeta,
tnowstep = 0.1, hor = 4, thresh = 0.5, seqlen = 401, prior = FALSE)
brsim1pr <- sim1cycle(sys = br, ctypes = brctypes, compfts = brcompftssim, n0y0 = brn0y0, beta = brbeta,
tnowstep = 0.1, hor = 4, thresh = 0.5, seqlen = 401, prior = TRUE)
# quick sexample where system fails at time 3.7
brcompftssim0 <- list(C1 = 10, C2 = 6, C3 = 7, C4 = 10, H = 3.6, M = 3.7, P1 = 10, P2 = 3, P3 = 4, P4 = 10)
brsim0 <- sim1cycle(sys = br, ctypes = brctypes, compfts = brcompftssim0, n0y0 = brn0y0, beta = brbeta,
tnowstep = 0.25, hor = 4, thresh = 1, seqlen = 401, prior = FALSE)
# simulate several operational cycles
brcompftssim2 <- list(C1 = c(10, 10), C2 = c(6, 6), C3 = c(7, 7), C4 = c(10, 10), H = c(8, 8),
M = c(12, 12), P1 = c(10, 10), P2 = c(3, 3), P3 = c(4, 4), P4 = c(10, 10))
brsim2pr <- simNcycle(sys = br, ctypes = brctypes, compfts = brcompftssim2, n0y0 = brn0y0, beta = brbeta,
tnowstep = 0.5, hor = 4, thresh = 0.5, seqlen = 401, prior = TRUE)
brsim2prpr <- simNcycle(sys = br, ctypes = brctypes, compfts = brcompftssim2, n0y0 = brn0y0, beta = brbeta,
tnowstep = 0.5, hor = 4, thresh = 0.5, seqlen = 401, prior = TRUE, cycleupdate = FALSE)
# -------------------------------------------------------------------------
# simulate Weibull failure times according to prior parameter choices (note different parametrization!)
set.seed(1328)
brcompftssim1 <- brWeibullData(5, brbeta, brmttf)
brcompftssim2 <- brWeibullData(5, brbeta, brmttf)
brcompftssim3 <- brWeibullData(5, brbeta, brmttf)
brsimN51 <- simNcycle(sys = br, ctypes = brctypes, compfts = brcompftssim1, n0y0 = brn0y0, beta = brbeta,
tnowstep = 0.1, hor = 4, thresh = 0.5, seqlen = 401)
brsimN51$tend; brsimN51$costrate
# overall costrate
weighted.mean(brsimN51$costrate, brsimN51$tend)
# to compare: initial taustar is 1.27 with expected cost rate 0.2207986
# for this data (no system failure before 1.27), we get cost rate 0.2/1.27 = 0.1574803
# but with 5 replacements over time 5 * 1.27 = 6.35, while we get 13 lifetime
brsimN51fig1 <- ggplot(brsimN51$res, aes(x = tnow, y = taustar)) +
geom_line(aes(colour = cycle, group = cycle)) + geom_point(aes(colour = cycle, group = cycle)) +
xlab(expression(t[now])) + ylab(expression(paste(tau["*"]^(t[now]), (t[now])))) +
guides(colour = guide_legend(title="Cycle")) + scale_y_continuous(breaks=seq(0, 2, by=0.5), minor_breaks=seq(0, 2, by=0.25))
pdf("brsimN51fig1.pdf", width = 5, height = 3)
brsimN51fig1
dev.off()
# failure times for cycle 1
sort(sapply(brcompftssim1, function(x) x[1]))
brsimN52 <- simNcycle(sys = br, ctypes = brctypes, compfts = brcompftssim2, n0y0 = brn0y0, beta = brbeta,
tnowstep = 0.1, hor = 4, thresh = 0.5, seqlen = 401)
brsimN52$tend; brsimN52$costrate
weighted.mean(brsimN52$costrate, brsimN52$tend)
brsimN52fig1 <- ggplot(brsimN52$res, aes(x = tnow, y = taustar)) +
geom_line(aes(colour = cycle, group = cycle)) + geom_point(aes(colour = cycle, group = cycle)) +
xlab(expression(t[now])) + ylab(expression(paste(tau["*"]^(t[now]), (t[now])))) +
guides(colour = guide_legend(title="Cycle")) + scale_y_continuous(breaks=seq(0, 2, by=0.5), minor_breaks=seq(0, 2, by=0.25))
pdf("brsimN52fig1.pdf", width = 5, height = 3)
brsimN52fig1
dev.off()
brsimN53 <- simNcycle(sys = br, ctypes = brctypes, compfts = brcompftssim3, n0y0 = brn0y0, beta = brbeta,
tnowstep = 0.1, hor = 4, thresh = 0.5, seqlen = 401)
brsimN53$tend; brsimN53$costrate
weighted.mean(brsimN53$costrate, brsimN53$tend)
brsimN53fig1 <- ggplot(brsimN53$res, aes(x = tnow, y = taustar)) +
geom_line(aes(colour = cycle, group = cycle)) + geom_point(aes(colour = cycle, group = cycle)) +
xlab(expression(t[now])) + ylab(expression(paste(tau["*"]^(t[now]), (t[now])))) +
guides(colour = guide_legend(title="Cycle")) + scale_y_continuous(breaks=seq(0, 2, by=0.5), minor_breaks=seq(0, 2, by=0.25))
pdf("brsimN53fig1.pdf", width = 5, height = 3)
brsimN53fig1
dev.off()
# -------------------------------------------------------------------------
# simulate 20 5-cycle machines with priors as given
set.seed(2211)
brsim5cycle20data <- list()
for (i in 1:20){
brsim5cycle20data[[i]] <- brWeibullData(5, brbeta, brmttf)
}
brsim5cycle20 <- list()
for (i in 1:20){
brsim5cycle20[[i]] <- simNcycle(sys = br, ctypes = brctypes, compfts = brsim5cycle20data[[i]], n0y0 = brn0y0,
beta = brbeta, tnowstep = 0.1, hor = 4, thresh = 0.5, seqlen = 401)
}
brsim5cycle20summary <- data.frame(id = 1:20,
meantend = sapply(brsim5cycle20, function(res) mean(res$tend)),
meancostrate = sapply(brsim5cycle20, function(res) weighted.mean(res$costrate, res$tend)))
brsim5cycle20fig1 <- ggplot(melt(brsim5cycle20summary, "id"), aes(x = id, y = value)) +
geom_line(aes(colour = variable, group = variable)) + geom_point(aes(colour = variable, group = variable))
brsim5cycle20fig1
# -------------------------------------------------------------------------
# catch error when no connection between s and t in graph
asdf <- graph.formula(s -- A -- t)
asdf <- setCompTypes(asdf, list("A" = "A"))
asdf <- induced_subgraph(asdf, vids=V(asdf)[!(name %in% "A")])
computeSystemSurvivalSignature(asdf)
distances(asdf, "s", "t")
# -------------------------------------------------------------------------
# changing labels for facets, etc.
br1taus1finelabs <- as_labeller(c(taustar = "taustar",
tstar = "tstar",
cstar = "gstar",
ctotal = "gtotal"))
tauhist1fig2 <- ggplot(melt(br1taus1fine, "tnow"), aes(x = tnow, y = value)) + xlab(expression(t[now])) +
geom_line(aes(group = variable)) + ylab("") + geom_point(aes(group = variable), size = 0.15) +
facet_wrap(~ variable, nrow = 2, scales = "free_y", labeller = br1taus1finelabs)
#